diff --git "a/data/dm_maths/full_data/1273_11255.jsonl" "b/data/dm_maths/full_data/1273_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1273_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -200*a + 1195 + 158 - 411 = -2858 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7136544*z**2. Let h(q) = 3*q**2. What is m(h(a))?\nAnswer: -64228896*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20319800, 20319799, 20319798?\nAnswer: 20319797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148616 by 74308.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019455 to 6 decimal places.\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvtqvtvqkt. What is prob of picking 1 q and 2 v?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1425*s**2 - 772*s**2 - 920*s**2 to d*s + r + g*s**2 and give g.\nAnswer: -3117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p**(-2\/5)*p**(3\/5)*p**(-2))\/((p**4*p*p**(-1\/6))\/(p**(-1)*p**2)) assuming p is positive.\nAnswer: p**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -237*y**5 + 226*y**5 + 191*y**5 + (0*y**2 + 4*y**2 - 2*y**2)*(0*y**3 + 2*y**3 - 4*y**3) + y**2 - y**2 - y**5 + (-1 - 2*y**2 + 1)*(-y**3 - y + y).\nAnswer: 177*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 22 = 28*u + 4*l, 5*u - 14 = 4*l. What is the nearest to -0.01 in -5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 8*a**4 + 24*a**3 + 4*a**2 - 22*a - 12 = 0. What is a?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.083 + -0.853. Let u = -0.23 + j. Let x = 4.05 - 0.05. Sort x, 1, u in decreasing order.\nAnswer: x, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 847038*g**3 + 276514*g + 1?\nAnswer: 5082228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 13. Let b(q) = -74*q - 232. Let c be b(-3). Let f = a + c. Calculate the lowest common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.01589.\nAnswer: 0.1589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 6 = -12. Sort -5, 0.4, -0.2, w in decreasing order.\nAnswer: 0.4, -0.2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(676\/(-195))*(-8)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 72333*i + 578667. Let h be p(-8). Solve -648 - 162*l - 3\/8*l**h - 27\/2*l**2 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y**2 - 6*y + 9. Does 30 divide h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p - 2. Let d(r) = -2*r**2 - 17*r - 15. Let h be d(-8). Calculate m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7020809\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p + p**2 + 5*p**2 - 3 - p - 3*p. List the prime factors of j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 3, q: 2, e: 7, v: 3}. Give prob of picking 2 q.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -9, -1, 21, 63, 131?\n\"Answer: i**3 - 2*i**2 - i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2))\/(3\/6). Let r(f) = y*f - 9 + 9. Let k(t) = -2*t - 13. Let j(l) = l + 6. Let n(x) = -13*j(x) - 6*k(x). Determine n(r(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/4 (b) -28 (c) 2 (d) -0.376\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a*a**(-7)*a**5*a*a\/(a**(-4)\/a))\/(a**(-1)\/a*a**(-1\/8)*(a**1\/a*a)**21) assuming a is positive.\nAnswer: a**(-911\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 435076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6589 + 9375. Let c = 2769.37 - h. What is c rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2073, -2077, -2081, -2085, -2089, -2093?\n\"Answer: -4*c - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.7, 4, -2\/13, -0.2 in descending order.\nAnswer: 4, 0.7, -2\/13, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809096338 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -441*h + 520*h + 219 + 1914 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540682434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = 32*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + r**4 + 0*r**2 - 26*r**2 + 26*r**2 + 5*r**4 + (-r + 23*r**4 + r)*(-3 + 12 - 4) to y*r**3 + o*r + h + p*r**4 + u*r**2 and give p.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*(1 + -1). Suppose 3*j - 1 = 5*o, -21 = 3*o + 2*j + 3*j. Let m(k) = -2*k**3 - 2*k**2 + k - 3. Let s be m(o). What is the nearest to 2 in d, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/19)*d**(-3\/2))\/(d**(2\/7)\/d*d)**1 assuming d is positive.\nAnswer: d**(-447\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/11 - 4458*z**2\/11 - 62116*z\/11 - 212640\/11 = 0.\nAnswer: -2215, -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let i be j(5). Suppose i*b = 10 - 0. Suppose b*o = 3*m + 14, 0 = -4*o + 6*m - 2*m + 24. Solve -c - 1 = o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 98. Let q be x(-17). Suppose 0 = q*m + 5*z - 3219, -2438 = -3*m - 25*z + 26*z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:40 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 2. Let p be d(-2). Suppose 0 = -3*f + 5*b + 19, -7*b + 6*b = -f + 5. Solve 0 = -p*t - f - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -17. What is the lowest common multiple of v and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose 3*m = -k*w + 112, 3*w - 6 = 9. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = t + 3*q, 4*t - 1 - 39 = -5*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvi when three letters picked without replacement from varauuirw.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -181, -238, -271, -280?\n\"Answer: 12*z**2 - 117*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n*o**3 + 515012*n*o + o**3 - 2518393*o**2 wrt n.\nAnswer: -5*o**3 + 515012*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 4*x**2 - 5*x**2)*((-x**2 + x**2 - x**2)*(4 - 1 - 4) - 12985 - 106*x**2 + 12985 + 3*x**2 + 3*x**2 + 5*x**2).\nAnswer: 94*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - o = -8, -5*m + 2*o - 28 + 3 = 0. Let d be 16\/(-4) - m - -5. Suppose i + d*c - 182 = 2*c, 0 = 2*i - c - 344. List the prime factors of i.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*o = 43, 4*o - 6 - 6 = 0. What is the remainder when (-22 + 19 - 30\/(-3)) + 25 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501 - 491. Suppose -11*t - 34 = o. Sort 3, -5, t, -1.\nAnswer: -5, t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 955 = -3*m + o, -2881 = -3*m + o. What are the prime factors of m?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 3*f - 2. Is 31 a factor of p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -12, 25, 102, 231, 424, 693?\n\"Answer: 2*l**3 + 2*l**2 - 11*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 5972*d**3\/7 - 4534720*d**2\/7 - 113900800*d\/7.\nAnswer: -2*d*(d + 26)*(d + 1480)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 - 3152954?\nAnswer: -3152953.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -820 + 823. Let v(w) = -3*w**3 - 5*w**2 - 8*w + 3. Let y(u) = 2*u**3 + 4*u**2 + 7*u - 2. Let g(n) = -3*v(n) - 4*y(n). What is g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 547 - 544. Solve -g*s + 10 = -s - 4*h, -3*s + h = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = 5*n, -4*o - 2 = -5*n - 7*o. Let t be (-2 + 0)\/(n - -1). Suppose 2*a = -t*a - 3*u, -4*u - 4 = 4*a. Solve 12 = a*w - 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (468 + -538)*8\/14?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 6, -2, -24, -3 in increasing order.\nAnswer: -24, -3, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*m + 230*m + 10405274 = -2668225. What are the prime factors of m?\nAnswer: 3, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.014 or 1091603\/4?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 1322.427438?\nAnswer: 1321.927438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 43*j + 150. Give h(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:29 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -79*z**2 - 110*z + 6. Let u be l(6). Does 9 divide (75\/2)\/(-5)*u\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*o - 45*o**4 + 3*o**3 + 20*o**4 + 31*o**4 - 2 - o**3 + 3 to the form u + v*o**4 + h*o**3 + d*o**2 + i*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4 (b) 1 (c) 3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = -4*p + 2*p, 5*p + d - 20 = 0. Suppose -l + 71 = x + 3*x, -p*l + 298 = x. Calculate the remainder when l is divided by -8*-2*(-9)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*g + 6770 - 3447 - 3428)*(0 + 0 + 2*g + (-6*g + 3*g + g)*(-3 + 3 + 1) - 2*g - 2*g + 3*g) to j*g**2 + h*g + b and give h.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1133 - 872. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655238.25us in hours?\nAnswer: 0.000182010625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 48. Let b = v + -3. Calculate the common denominator of 9\/16 and b\/12*51\/36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 18.13. Let c = 20 - y. Are 1\/6 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6872, 13815, 20834, 27929, 35100?\n\"Answer: 38*h**2 + 6829*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)*7\/(-28). Let u = 1\/12 + o. Suppose 2*s - 3 = 4*q - 13, 0 = -q - s + 4. Sort q, u, 0.3 in decreasing order.\nAnswer: q, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7531*(-52)\/15028 - 2\/(-34).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-5 + 2*(sqrt(17) + 0 + sqrt(17)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 106\/9 - (-4)\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-35) + 52\/(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from carcacccaaaacrcrcac.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620400247.\nAnswer: 620400247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/152 - (-16)\/152.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2868892\/75 + -38254. Let v = m - -1097\/50. Find the common denominator of v and 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**5 + h**4 + (-5 + 1 + 2)*(0*h**3 + 0*h**3 + h**5) + 39*h**5 - 221*h**5 + 3*h + 4*h - 412*h**5.\nAnswer: -597*h**5 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**3 + 10*d**2 - 3*d + 3. Let l(i) = 18*i**3 - 19*i**2 + 7*i - 7. Let c(y) = 3*l(y) + 7*m(y). What is the third derivative of c(o) wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99144 and 510?\nAnswer: 495720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117 times -0.5\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17241450 by -6850.\nAnswer: -2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/1575*-7*-12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 5, z: 2, j: 1, l: 1, w: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.5 - -7.544. Let m = -3.956 - l. Let f = 0.1 - 0.2. Which is the third smallest value? (a) m (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + m**3 + m**2\/2 - 14*m + 2. Find the second derivative of i(z) wrt z.\nAnswer: 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 4*m + 2. Let a be g(5). Let u(y) = y**3 - y**2 - 2*y + 2. Let n(d) = -3*d**3 + d**2 + 5*d - 4. Let k(v) = -2*n(v) - 5*u(v). Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -25*d**2 + 26 - 19 + 43*d**2 - 37*d. Let h be f(2). Let n be (2\/7)\/(-2 + 4). Which is the biggest value? (a) h (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*i = -3*i - 27, 4*i - 10 = -5*v. Suppose -s + 42 = v*s. What is the remainder when 26 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 663, 8 in descending order.\nAnswer: 663, 23, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. Suppose u*p + 32 = 15*p. Suppose -5*n + 7 = -2*l - 2*l, -4*n = l + 7. Sort n, 7, p, 3.\nAnswer: n, 3, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314583893 and 1273619.\nAnswer: 314583893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -160. Is (-10534)\/y + 10\/55 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:02 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -28*i - 11 + 2 - 2*i**2 + 23*i. Let j be g(-6). Let u be (-64)\/1*(-1 - j). Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 758*s**3 - 756*s**2.\nAnswer: -2*s**2*(s + 1)*(s + 378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 3 - 13*p + 0*p**2 - p**2 - 3*p**2. Let x be d(-12). Calculate the greatest common divisor of x and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011773 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104743?\nAnswer: 104743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1427 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let j(i) be the third derivative of 0*i + 0 + 1\/15*i**5 + 0*i**4 + 0*i**3 - 10*i**2. Calculate f(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 8 = 0, -160*f + 4*h + 16 = -161*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1207 and 2201?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let a be (-8)\/6 - (-5 + (-1)\/3). Let h(f) = -f**2 + 0*f**2 + 2*f**2 - 57 + a. What is x(h(c))?\nAnswer: c**4 - 106*c**2 + 2809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 12*t - 11. Let k be d(-10). Suppose -k = -n - 3. Solve j + 10 = -4*x, -2*x - 2*j - 2 = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/1 + 1 + 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 4. Let u be t(-2). Suppose -o - 2 = u. Let k(r) = -r**3 - 4*r**2 - 4. Determine k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12417 + -2838. Let i = 23650 - 8471. Let u = i - n. Round u to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 1959 = -3*s - 2661. What is the remainder when 347 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3002, 3001, 3000, 2999?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 + 10*d**3 - 11*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-14 + 8 + 2 - (7 - 0))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 1106236?\nAnswer: -1106229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2005 + 2009. What is the least common multiple of v and 722?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 2) + -12 - -1. Sort 1, -1, j.\nAnswer: j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -1\/160*m**6 - m**2 + 0 + 0*m + 0*m**3 + 1\/32*m**4 + 1\/560*m**7 - 1\/160*m**5. Find r, given that h(r) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 75, -38, 2\/7, -0.4.\nAnswer: -38, -4, -0.4, 2\/7, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 1488547.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1180.2 + 1181. Let v = 271\/665 + 2\/95. Which is the second biggest value? (a) v (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.077 - 0.077. Put h, 0, 1, 3 in ascending order.\nAnswer: 0, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/45)\/(260\/(-234))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165229, 4, -4 in ascending order.\nAnswer: -4, 4, 165229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - y**2 + 9)*(-4 + 4 - 2*y) + 4*y + y**3 - 11*y - 2*y + (-3*y**2 + y**2 + 4*y**2)*(2*y + 0*y + 0*y) + 2*y**3 - 5*y + 5*y.\nAnswer: 9*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, 0.02, -0.1, 1\/4, -65\/8, -11, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 0*w**2 - 4*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 1\/4*a**4 - 7*a**2 + 0*a + 1\/120*a**5 + 0 - 8\/3*a**3. Let b(t) be the first derivative of h(t). Calculate b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38138 or -38513?\nAnswer: -38138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-780)*26*31\/(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = 4*a - 5, -a + 8 = -5*r. Let w = -1 - -1. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 8*t + 20. Let g be j(-6). Let i be (-16)\/40 - g\/(-10). Let p = -1 - i. Is p at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600500 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - h**3 - 4 + (h - 5*h + 3*h)*(h**2 - h**2 + 2*h**2) - 95*h**3 - 3*h**3 + 19*h**3 - 2 + 0*h**3 + 0 - 2*h**3.\nAnswer: -84*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15919 less than -837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put -3544, 0, -0.3 in decreasing order.\nAnswer: 0, -0.3, -3544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 969702 * 2\nAnswer: 1939404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*515.\nAnswer: -3605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-10)\/(-4)) - -13. Let f = v + -18. Let p = f - -22. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 6. Suppose 0 = -2*u + 8 + s. Suppose -2*r - 144 = -u*r. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-42))\/(187022\/(-153018)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let l(y) = 836*y. Let n(c) = -35*c. Let z(j) = -6*l(j) - 143*n(j). Determine z(o(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 - 3. Let v = -1 - -1. Let j = -2\/35 + -134\/105. Which is the nearest to -1\/4? (a) v (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.3 - -45.8. Let h = 2 + -1. What is the smallest value in -0.9, y, h?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 17*y**2 - 50*y - 70. Determine f(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 - 2*d - 2. Let o(l) = -l**2 - l. Determine a(b) - 2*o(b).\nAnswer: -3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*q**2\/3 - 65*q\/3 - 17 = 0. What is q?\nAnswer: -51\/14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -45?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.1551 nanoseconds in seconds?\nAnswer: 0.0000002511551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, t: 1, h: 1, n: 2, q: 2}. What is prob of sequence ct?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485428581?\nAnswer: 3, 11, 4903319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s, -3*a + 2*s + 6 = a. Suppose -5*v + 2*y + 32 = 0, -4*v + 28 = -2*v + a*y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 3, k: 1}. Give prob of sequence ek.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -11 + 31. Calculate the highest common divisor of 70 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 158. Solve -13*n + 22 = 2*f - x*n, 2*f - 3*n + 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.1 (c) -0.07 (d) 2 (e) -2317\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 27*d**2 - 33*d - 84. Determine m(-26).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12898 is divided by 187?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -342, -471, -604, -741, -882?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 + 159*y + 1 - 187*y).\nAnswer: -28*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = -5*j - 10, -2*p + 8 = j. Is 3*(j + (1 - (-7856)\/12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -6*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b\/b**(-2\/9)*b))*(b\/(b*b**(2\/13)\/b))\/b*b)\/(b**(4\/9)*b\/(b\/(b*b**(-1)*b*b))) assuming b is positive.\nAnswer: b**(307\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97742535 a multiple of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49951671 and 3696.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 57*z + 9556. Let m be n(-164). Calculate the highest common factor of 767 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + p + 3 = -16, -5*p = -3*w + 7. Let z be 9\/2 - w\/8. Solve -3*j = a + 2*j - 18, 0 = -z*a + 3*j - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*n**2 - 70*n**2 - 35 + 192*n**3 + 22 + 13 as k*n + o*n**3 + l + j*n**2 and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*t = -778*t - 277 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 + 1 = 0. Suppose 18 = -z + 2*n, q*n - 2*n = -z - 15. Let u be (-3)\/(-2) - (-26)\/z. What is the second smallest value in u, 0.5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6601.542us to seconds.\nAnswer: 0.006601542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let v(r) = 3*r + 2. Let a be (-3)\/4 - 22\/(-8). Let m(h) = h - a + 4 - 2. Determine c*v(y) + 4*m(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 3567*v**3 + 28344*v**2.\nAnswer: 3*v**2*(v - 1181)*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.161437.\nAnswer: 0.0161437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f + 100\/7*f**2 + 160\/21*f**3 - 19\/14*f**4 + 2\/35*f**5 - 230. Factor j(n).\nAnswer: 2*n*(n - 10)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/4 - 573*x**4 + 1132473*x**3\/4 + 1137045*x**2\/2 = 0. Calculate x.\nAnswer: -1105, -2, 0, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15916 + 7757?\nAnswer: 22572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + 35. Calculate the greatest common factor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1 - sqrt(110))\/sqrt(2))\/(-5*-2*sqrt(11)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1563*q - 6365. What is c(-4)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w**2 - 5*w + 9. What is the units digit of f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.06, -12, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oddd when four letters picked without replacement from {d: 6, o: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 26*x - 6 = 3*v, -v + 2 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18997392896 - -18997646634.09942. Let v = o - 253775.1. Let i = 37 + v. Round i to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 11 + 4)*(-u + 0 + 2 + 0)*(1 + 4 - 1).\nAnswer: -28*u + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 5*p + 5. Let t be g(2). Solve t*d = -d - 5*k + 28, -12 = 4*d - 5*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/837 and (((-4)\/(-12))\/1)\/(0 + (3 - 96))?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = -2*b - 33 + 93, 5*r = -5*b + 59 - 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5687 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1568 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621, -1012, -1403, -1794?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1029 divided by 3.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let t(n) = 2*n**2 + 16*n - 1. Give t(r) + 2*u(r).\nAnswer: 2*r**2 + 16*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 19. Let c(o) = 25*o. Calculate f(c(g)).\nAnswer: -25*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 2. Let b be o(-7). Sort b, 1, 2 in increasing order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18207, 18214, 18225, 18240?\n\"Answer: 2*m**2 + m + 18204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-8)\/(48\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 191*h**2 - 191*h**2 + 44*h**5 + (0*h + 2*h**3 + 0*h)*(321 - 321 - 87*h**2).\nAnswer: -130*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/9 - 322*q**2\/9 + 1901*q\/9 - 1580\/9 = 0?\nAnswer: 1, 5, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 - 1. Let y(q) = 228*q**3 + 7*q**2 - 396. Let l(v) = -7*p(v) + y(v). What is the derivative of l(s) wrt s?\nAnswer: 663*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 47. Let v be -65 + (1 + -2 + j)*-4. Which is smaller: v or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75278.7 nanometers in millimeters?\nAnswer: 0.0752787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*s + 8 = 0, -912*l + 2*s = -910*l - 16 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(180\/(-2)))\/1. Let y(s) be the second derivative of 0*s**2 + t*s**6 - 1\/4*s**4 - 1\/2*s**3 + 3\/20*s**5 + 6*s + 0. Factor y(n).\nAnswer: 3*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - 1*(sqrt(133) + sqrt(133) + 2*sqrt(133) + sqrt(133)))\/(-3*(1*sqrt(7) + sqrt(7))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116599726 or -116599733?\nAnswer: -116599733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1913064 + 5?\nAnswer: -1913059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*a + 2*k, -2*k + 12 = 2*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 4*g. Let b(f) = f - 2*f + 0*f - 2*f. What is b(n(x))?\nAnswer: -21*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -312*p - 2191. Give t(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 - -324. Sort -4, p, -1, -5 in ascending order.\nAnswer: -5, -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 5. Let t be d(0). Suppose 5*u = 3*m - m - 19, 0 = 4*m - 3*u - 31. Let p(h) = -h**2 + 6*h + 9. Let g be p(m). Put g, t, -1 in ascending order.\nAnswer: -1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2108*m + 53350. What is c(-26)?\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*b + 38 = 0, 3*b + 27 = g + 5. Let q be ((-2)\/6)\/((-2)\/78). Suppose -3*j - 1 = -q. Calculate the smallest common multiple of g and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77790932*v + 77791016*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q. Suppose -r = 8*r + 45. Let t(y) = 6*y. Calculate r*t(k) - 2*b(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 1 + 3. Suppose 2*a = 4*a + 20. Let y = m - a. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 9. Let z be b(10). Sort -4, -1, -475, z in descending order.\nAnswer: z, -1, -4, -475","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 2339 + 251 = 39*c. Calculate the greatest common divisor of 144 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25467?\nAnswer: 3, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:38 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -19*r**2 + 0*r + 0*r**4 + 0*r**3 + 200 + 82\/5*r**5. Find the second derivative of p(n) wrt n.\nAnswer: 984*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1918.4 + 1918. What is the smallest value in -2, -1014, -1, c?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z + 18*z - 4. Is 7\/6 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -98 - 73. Suppose 8*h - 2*k = c*h - 116, k = -3*h + 343. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*a + 2. Let r be (3 + a)\/(-3 - -4). Let t(y) = 3*y**3 + 2*y**2 - 2*y. Let j(l) = -l**3 - l**2 + l. Determine r*j(q) + t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 18. Let k be y(0). Suppose k = 5*x - 2. Solve 0 = -w + 9 - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -11, 12, 1027, -1 in decreasing order.\nAnswer: 1027, 12, 2, -1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*w + 5429581 - 17109544. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040516003 rounded to seven decimal places?\nAnswer: 0.0040516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/379 - 23095\/3032. Calculate the common denominator of h and 49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435923.\nAnswer: 3, 103, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75369, -301510, -678441, -1206186, -1884769, -2714214?\nAnswer: -3694545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31647500 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o + 2. Let x be q(-5). Suppose -x*s - m + 27 = 0, 28 + 3 = s + 4*m. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153, -1115, -3709, -8751, -17057?\n\"Answer: -136*r**3 - 10*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -7. What is the remainder when 45 is divided by (3 - 2)\/((-1)\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y + 368219 = -63925. What are the prime factors of y?\nAnswer: 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 49\/2?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1.677 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkveg. What is prob of sequence kg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-1 + 0)*1. Let p be ((-1)\/(-15))\/(x\/6). Put p, 1, 3\/4 in ascending order.\nAnswer: p, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 1\/3 (c) -3 (d) 1 (e) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4 + (-9 - 4 - 2)*(0 - 1 + 0)*(1 + 0 + 2 + (-2 + 0 + 0)*(0 + 1 + 2) - 2 - 2 + 2))*(0*g - 3*g - 4*g).\nAnswer: 518*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + f**2 - 4. Is 19 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/392 and -9\/112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - (15 + (-16 - -7) + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by (-8)\/(-3 + -1) - -61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4132666*y**3 + 4280216*y**2 wrt y.\nAnswer: 24795996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002791063 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*h**2 + 4*h**3 + 13*h**3 - 194*h**2 - 2*h**3 as m*h**2 + c*h**3 + t + b*h and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 31 - (5 + -1) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10883, 43688, 98357, 174884, 273263, 393488?\n\"Answer: -a**3 + 10938*a**2 - 2*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 8 + 1 + 0 + 2*r. Let s be y(6). Let g(j) = 5*j**2 - 40*j + 16. Let q(b) = -b**2 + 8*b - 3. Let o(u) = s*q(u) + 2*g(u). Determine o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -1\/6*x**4 - 1\/2*x**3 + 1\/15*x**5 + 0 + 2*x**2 + 0*x. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -69, -253, -565, -1005, -1573, -2269?\n\"Answer: -64*d**2 + 8*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 22570\nAnswer: 22570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 2*v + 3*v + (1 + 2*v - 1)*(-2 + 1 + 2) - 4*v + 4*v + v + 41*v - 7 + 30 - 68 + 21 as j + r*v and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925252?\nAnswer: 2, 3, 11, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*998.39.\nAnswer: 259.5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 204*w + 5882. Give v(-27).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6407, 6425, 6469, 6551, 6683, 6877, 7145?\nAnswer: 7499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76ca5 (base 15) in base 12?\nAnswer: -162548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 1. Give v(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + 3 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 38*o - 3049 = 40*o, 2*d - 2*o = 6094. Which is smaller: d or 3043?\nAnswer: 3043","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001401726 to 5 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 = -303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 18*h + 31 - 55)*(9*h + 5*h - 6*h) in the form v*h + n*h**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 11*b**2 + 10*b - 13. Determine t(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43749?\nAnswer: 3, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, p: 5, y: 1, z: 1}. What is prob of sequence plzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/11*(-7)\/(-63)*(-18)\/(-8)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14456138 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 18*g**3 - 20*g**2 - 4*g**2 + 27*g**2 to f*g + u*g**3 + z + j*g**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by 5559.\nAnswer: -104\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*g**4 + g**4 - 1 + 1 + (1 - 2*g**3 - 1)*(-3*g + 4*g + g))*(-5*g + 4*g + 7*g).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 3*r - 3*r)*(2*r**2 + 3*r - 3*r + (0*r + 0*r + 2*r)*(r + 0*r + 0*r) + 934139*r - 934139*r - 5498*r**2) to d + a*r**2 + i*r**3 + c*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 2480.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 4*s + 4. Give d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1378.3 - -1378.3000006523. Round m to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -0.4, -0.02, -0.1, -1\/5 in descending order.\nAnswer: 55, -0.02, -0.1, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g**2*o**3*s + 59*g**2*o - 26*g**2*s - 4*g**2 + o*s - 6*s wrt o?\nAnswer: -27*g**2*o**2*s + 59*g**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 0 - (6 + -20 + -29 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 52256*f + 4316577. Determine t(-83).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5*z**6\/6 - 23*z**2\/2 + 39. Find the second derivative of o(b) wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(4*sqrt(8))*4*-4)\/(((sqrt(162) - -5*sqrt(162))\/sqrt(6) + sqrt(27))\/sqrt(3)*4).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5881 - -5878. Let q = -1 + -3. What is the biggest value in r, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, p: 1, u: 4}. What is prob of picking 1 u, 1 p, and 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*n + 36, b - 3*n = -b - 38. Let s = b - -18. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Let u(a) be the second derivative of 5*a + 0*a**3 + 0 + 1\/2*a**2 - 1\/20*a**5 - 1\/12*a**4. Give u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. Suppose -2*x = 3*u - 302, v*u + 4*x - 196 = -2*u. Let b = 169 - u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l - 2. Let a be k(4). Suppose 5*u - 4*x + 126 = 0, 5*u + 4*x + a + 108 = 0. Is u\/8*(-100)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -134\/135 (b) 2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 7*z. Suppose 29*w = 30*w + 1, 3*l - 11 = 2*w. Let s(f) = f. What is l*m(d) - 21*s(d)?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voooovooooov. What is prob of sequence ov?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2440239\/17 + 143547. Solve a*o + 16\/17 + 14\/17*o**2 = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/((-16)\/(-84)). Let x be (-14)\/21 - (-520)\/6*y. Suppose 0 = -2*j + x - 70. What are the prime factors of j?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 258 = -8*k + 118 + 854 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 173 = 14*r - 17*r, w = 3*r + 185. Calculate the least common multiple of (-24)\/(-84) + r\/(-7) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52117872, 104235743, 156353614, 208471485?\n\"Answer: 52117871*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*t. Factor 17*g**t - 36*g**2 - 8*g**3 - 13*g**3.\nAnswer: -4*g**2*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15624 and 567?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u + 2. Let w be k(3). Let i(r) = 66*r - 90. Let o(h) = -36*h + 47. Let z(q) = 5*i(q) + 9*o(q). What are the prime factors of z(w)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (798*d**3 - 523*d**3 + 873*d**3)*(-4*d + 4*d - 4*d)*(2 - 3 - 1).\nAnswer: 9184*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378*l + 2 + 284*l - 2 + 327*l.\nAnswer: 1989*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 4*m**3 - 4*m**3 + 5*m**3 - 11*m**2 + m - 2 to s*m**2 + o + f*m + q*m**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 976000 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*x - 323*x**3 - 1819*x**2 + 1819*x**2 - 4 wrt x.\nAnswer: -1938*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15652300 divided by -40550\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3894, -3100, -2306, -1512, -718?\n\"Answer: 794*v - 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 3*p - 6, 0 = -2*k + 5*p + 16. Let c = 0 + 2. What is the second derivative of -c*m + m - 2*m**k + 0*m**3 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/(p\/(p*p**(-7\/4))*p))*p)\/p*p))**(10\/9)\/(p**(3\/4))**(2\/93))**(8\/3) assuming p is positive.\nAnswer: p**(-6856\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 9 (b) -3\/7 (c) 32\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 + 37*c**4\/2 - 313*c**3\/2 - 7323*c**2\/2 - 15165*c\/2 + 4725 = 0. Calculate c.\nAnswer: -15, -3, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*t + 7*t - 18, 5*t + 5*i - 15 = 0. Suppose -3*z + t*j + 13 = 0, z - j - j - 5 = 0. Let k(d) = -3*d - 2. What is k(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let u(l) = 1641*l**2 + 11*l + 8. Give u(j(w)).\nAnswer: 1641*w**2 + 11*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -1331, -1793, -2251, -2705, -3155?\nAnswer: -3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244385941.\nAnswer: 14407, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 6. Let v be j(-10). Let n = v - 31. Suppose -n*x + 10*x = 0. Is -4\/19 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3134 + 3138. Let i = -53\/4 + 13. Which is the nearest to -4? (a) g (b) -2.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 - 2*d - 3. Let i be u(-4). Which is greater: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 44. Let n = 80 - 78. Suppose n*t = -d + 142. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*n - 6*n + 15*n + 2*n**5 + (2*n**4 - n**4 - 2*n**4)*(-3 + 3*n + 3) + 15*n - 15*n - n**5.\nAnswer: -2*n**5 - 46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 34 = 26. Suppose -3*f - 4*a = -80, 35 - 170 = -5*f - 5*a. Let m = f + u. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.0342149 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17820, 17817, 17814, 17811, 17808, 17805?\nAnswer: 17802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 12) to base 8\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -14a570?\nAnswer: -14a580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - q**2 + 2*q**2 + (5*q + 4*q - 3*q)*(-q + 2*q + 4*q))*(-3*q + 4*q + q)*(3 + q - 3) to m*q**2 + g + n*q**3 + s*q + u*q**4 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.0975607 from -1660125.\nAnswer: -1660123.9024393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144969938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 3*d - 10 + 24)*(-7 + 7 - 4*d**3) + (-16*d**3 - 11*d + 11*d)*(d + 3*d - 2*d) to t*d + l*d**4 + s + y*d**3 + z*d**2 and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/2 - 5*w**2\/2 - w. Let o be 10*(0 + (-12)\/15). Is b(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241196571 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 - 54*f - 6. What is the remainder when d(8) is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 16, y: 1, p: 3}. Give prob of sequence yip.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10840 + 54229\/5. Let b(v) be the first derivative of -14 + 0*v**3 + 0*v**2 - j*v**5 - 14*v + 0*v**4. What is the derivative of b(t) wrt t?\nAnswer: -116*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649779 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2007 + 2022. Solve -3*r - w = 0, 2*u - 13 = 4*r + 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/8 + 41\/40. Let x = 15 - 12. Factor r*m**x - 2\/5*m**2 + 2\/5*m**4 - 2\/5*m + 0.\nAnswer: 2*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49259306.\nAnswer: 2, 24629653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363280901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, -1\/4, -2184, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - g**2 + g + 1. Let c(a) = 59*a**3 + a**2 - a + 2. What is -c(n) - x(n)?\nAnswer: -61*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154953881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/14)\/(3\/1)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0429, -1.7, 2\/9, 3, -2 in decreasing order.\nAnswer: 3, 2\/9, 0.0429, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/37, -0.5, -605682\/13?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:44 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 12*o**2 + 12*o + 14. Let w be n(15). Let q = w - 860. Let g(t) = -6*t**2 - 2*t. Let c(m) = 13*m**2 + 5*m + 1. What is q*g(d) + 4*c(d)?\nAnswer: -2*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54778935.\nAnswer: 3, 5, 3651929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*u + 1840*u - 512*u - 660*u.\nAnswer: 1039*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371514190.\nAnswer: 2, 5, 37151419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let o be (-2)\/3 - 6\/(-9). What is the units digit of o - (-1 + (-5 - w))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**2 - 6. Let c(w) = 5*w + 7*w - 13*w. Give c(u(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771 and 323499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*v - 212, -2*u - 2*u + 3*v = -180. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2172, -17423, -58856, -139569, -272660, -471227?\nAnswer: -748368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {x: 4, y: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 857348 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 169791.\nAnswer: 339582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*z**2 - z + 134*z**2 - 1 + 0*z.\nAnswer: -5*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 3. What is the units digit of i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2255.99 + 6.2188\nAnswer: 2262.2088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1829905 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 11*f**3 - 13*f**3 + 2*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 12. Let s = 22 + b. Solve q = -s*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6200*w**3 - 40*w**2 + 30*w?\nAnswer: -37200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/4 + w**3\/3 - 3*w**2\/2 - 2*w - 8. Give l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2708 and 47\/6093.\nAnswer: 24372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 250?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4 - (-2 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f**3 - 19*f**2 + 14 - 8 - 6 + 5*f.\nAnswer: -104*f**3 - 19*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3455 divided by 5\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -16888*q + 337763. What is u(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 20 = -20*g. Let l be (9 - 8)\/((-2)\/g). Let v be (-4)\/8*2 - l. What is the nearest to 0.1 in v, 2, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*g = 236588, 225336 + 484488 = 3*q + 3*g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f - 5 = -67*f - l - 4*l, 5*f - 7*l = -39 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42468 bigger than 42471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2. Let y(l) be the first derivative of l**2 + 32. Give y(x(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3310 divide 673184583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 2*h - 54, -4*n + 2*h = -58. Suppose 10*t - 2668 = -82*t. What is the remainder when t is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.92. Let q = v - 0.42. Let l = 5 - 4.8. Which is the biggest value? (a) 0 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5117*b*h*l + b*h - 3*b*l*r - b*l + 2*b*r + 5*h*l*r + 11*h*l - 14*l - 14*r + 24 wrt h.\nAnswer: 5117*b*l + b + 5*l*r + 11*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {p: 6, d: 1, e: 3, g: 5}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 21*x**2 + 381*x + 133. What is h(12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.005851449 and 273.2?\nAnswer: 273.205851449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 (base 12) in base 13?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 3192 - 3192.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118900*v**5 - 117*v**3 - 2*v**2 - 9*v - 647583?\nAnswer: -7134000*v**2 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 2, 45\/2, -0.09, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/172, 0, -0.4, -4, -466\/3 in ascending order.\nAnswer: -466\/3, -4, -0.4, 0, 1\/172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/112 and 25\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81764 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/13 + 28\/182.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b**3 + 2*b)*(-5 - 3*b + 2 + 2).\nAnswer: -12*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 9. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 13. Let u be d(-5). Suppose -2*m + 4*m - 96 = u*x, 3*x = 4*m - 190. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -2, -5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*d + 163 = 0, 0*d + 200 = 4*g + 2*d. Let t be ((-2)\/4)\/(2\/(-104)). Suppose 5*b + 2*w = 364, -g - t = -b + w. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 14 = b - 2*b, 4*b + 3*w - 10 = 0. Let k = -9 + 12. Solve 3*f - 11 = b*y, -f + 2 = 2*y - k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - 3*k**4\/2 - 2*k**3 + 3*k**2\/2 + 7*k\/4.\nAnswer: k*(k - 7)*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -30*w**2 - 6*w + 2. Suppose -3*g = -18 - 18. Let b be a(g). Let x = b + 35183\/8. Calculate the common denominator of -27\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 62443 = -11813. Suppose 0 = -5*g + 2*f + o, -4*f = g + f - 1216. What are the prime factors of g?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*l = -2 - 21, -5*o - 5*l = 145. Let h = o + 35. Solve 6 = -h*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 11923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 20. Let b(p) = 3*p**2 - 11*p - 60. Let j(t) = 4*b(t) - 11*i(t). Let a be j(5). Suppose u - a = -3. Solve -x + 2 = -u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 97*r - 195. Let l be k(-45). Suppose -b - 3*q + l = -14552, 3*b - 5*q = 48257. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17471203 to the nearest integer?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -34.59?\nAnswer: 3.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17078*p**2 + 57061 wrt p?\nAnswer: -34156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 - f**3 + 507*f**2 + 3585*f wrt f?\nAnswer: -20*f**3 - 6*f + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1028*z + 20519. Determine l(21).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1*(-109 - 0). Let x be (4\/(-10))\/(3 + (-62)\/20). Suppose 0 = x*u - 208 + 160. Calculate the highest common factor of m and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 28 = -5*b. Suppose 3 = -2*k + b. Suppose k*d - 7*d + 90 = 0. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2571549 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 345\/20 + 2\/(-8). Let u(h) = -1 - 4 + 3*h + 2. Let k(d) = -2 - 3*d + 4*d + 1. Determine y*k(l) - 6*u(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*p - 5. Let l be -7 - p\/(2 - 1). Let w be ((-18)\/27)\/(4\/l). Solve w + 3 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 - d**3 + 4*d**2 + 4*d = 0 for d.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/13, 0 in decreasing order.\nAnswer: 0, -4\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -5*n**3\/2 + 8*n**2 + 33*n. Let g be r(-5). Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*x - 16380 = 167*x - 77*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.032 + -0.968. Let x = -2 + -3. What is the nearest to p in x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134714 to the power of 1\/2, to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*a + 556*a + 315*a + 25024 = -261*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccmcccmccccc. Give prob of picking 2 c and 1 m.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaawwaaaaaw. Give prob of picking 1 w and 1 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-163 - -170) + (1 - 0) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 15*j + 34. Let v be u(-17). Suppose -4*z + 160 = -v*z. Calculate the remainder when z is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in microseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 10. Let o be 20 + (-13)\/((-39)\/(-9)). Let p(s) = -6*s + 30. Give o*d(u) - 6*p(u).\nAnswer: 2*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 6*y**4 + y**4)*(0*y - 4*y + 2*y) - 3*y**5 - y**5 + 2*y**5 + 2*y**5 + 2*y**5 - 3*y**5 - 2*y**2 + 2*y**2 + 7*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9333270 or -11\/2?\nAnswer: 9333270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d22 + c77?\nAnswer: 1a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*(-2 + 25\/8). Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*a - 3*t - 19 = 670*a, -t + 23 = 2*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97 and 41710.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -904\/3 - -1547\/6. Find the common denominator of 25\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43021729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-6)\/(-4 - -10) - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58 - 2*a**4 - 26 + 25*a**3 - 47*a - 32 wrt a?\nAnswer: -24*a**2 + 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i. Let f be (1 + 1 + -2)\/(-1). Solve i = 3*w - 6 - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 4, -139, 9 in decreasing order.\nAnswer: 17, 9, 4, 1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o - 1. Let y(i) = i + 216 - 216. Calculate c(f) - 5*y(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q. Suppose 2 = -q*w - 2*w. Is -118*w*3\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9731\/11 + -1556509\/1760. Find the common denominator of g and 22\/4*((-18)\/10 - -2).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 761.6 + -521.5. Let g = 240 - i. Put g, 1\/4, -25 in decreasing order.\nAnswer: 1\/4, g, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1765805 and 735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10*a + 36 = 4*p, 4*a - 18 = -2*p. Let d(w) = w**3 - 8*w**2 - 5*w - 22. Let u be d(p). Solve -16 = 3*l - 5*h, -5*l + 2*l = h - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -5, -7 in descending order.\nAnswer: 86, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*x + 13 - 68 = 0, -345*k + 316*k - 213 - 82 = -5*x for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:05 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/487442 and 35\/30622.\nAnswer: 29733962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-95)\/(-19) - (-3254 + -2). Solve -3248*j + 91 = -z*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 2 = p. Let o(i) = 3*i**2 - 14*i**2 + 9 + 12*i**2 + 3*i + i. Let g be o(-6). Calculate the greatest common factor of g and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 457716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 26. What is the highest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((-3)\/(-36))*(-57)\/(-342).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m + 3\/2*m**2 + 1 + 4\/3*m**3. Find the second derivative of b(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 905 + -1?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3978\/(-408))\/((3\/(-12))\/(3\/9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, j: 1}. Give prob of sequence wwj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009357677799 to 5 decimal places.\nAnswer: 0.00936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puvr when four letters picked without replacement from {u: 1, p: 1, r: 3, t: 3, v: 3, d: 3}?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5 (b) 3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3788 + -3831.93. Let s = 11 - -33. Let x = h + s. Sort 0.5, 0, x in increasing order.\nAnswer: 0, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-220)\/(-18) + 3*(-10)\/135. Find g, given that 618*g**4 + 39*g**3 - 633*g**4 - o*g + 9*g**2 - 21*g**2 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251 - 254. What is the closest to 0 in s, 5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*v = 8, 0 = m - 4*m - 2*v + 40. Suppose -2*b = -66 + m. What is the remainder when 47 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b. Let y(g) be the first derivative of -2\/3*g**3 + 3\/5*g**5 + b*g**2 - 2 + 0*g + 0*g**4. Find the third derivative of y(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*i)*(-4 + 14 + 3)*((1 - 5 + 3)*(0 - 3 + 5) + 3 + 1 - 3)*(-4 - 2 + 0) to l + b*i and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 78, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 + 6*z + 9. Let o be i(8). Let m(n) = n**3 + 9*n**2 + 9*n - 3. Is 16 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a832 (base 12) to base 16.\nAnswer: 106b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + g + 105, 4*z = g + 2*g - 65. Let h = -2985 + 17801\/6. What is the common denominator of h and z\/(-10) - 278\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 - 22) + -49 - (1 + -13 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (125\/(27500\/(-264)))\/(177*14\/140)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/15*-2)\/(96\/(-40)). Which is the fourth biggest value? (a) 0.36 (b) 2\/13 (c) u (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 - 167. Solve 4*t - 22 = 2*r, m*t + 2*r = 4*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 28 + 10 = l, 3*l - 31 = 5*g. Solve 17 - l = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 17. Suppose 5*w = -4*w + z. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -13*a + 40. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770377 is divided by 804?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*g + 9360 = 519*g for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103455*a**2 + 35*a**3 - 26*a**3 - 206917*a**2 + 103462*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 + 4*t - 2. Let c be j(3). Suppose 0*a - 5 = -a. Suppose -c - a = 5*p. Is 2\/7 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -2401\/8*j**6 - 12*j - 3087\/4*j**5 - 735*j**4 - 350*j**3 - 90*j**2 - 7. Suppose p(a) = 0. Calculate a.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*i + 9, 0 = 37*i - 34*i - b - 13. Solve i = 49*d - 50*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = -o - 22, -4*o = 4. Suppose 0 = r - 2*k - 1325, r - c*k = -5*k + 1313. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, g: 1, f: 2}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/110 and 89\/4180.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.032 (b) -1 (c) 1000\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/1281826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from {u: 2, c: 1, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from {i: 3, c: 1, r: 4, h: 1, u: 5}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2967, -8235, -16823, -28731, -43959, -62507?\nAnswer: -84375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 473, 907, 1637, 2669, 4009, 5663, 7637, 9937?\n\"Answer: a**3 + 142*a**2 + a + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6773\/6 - 1126. Find the common denominator of c and (7\/6)\/(5 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - 2 - (-98 + 93)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*t + 538, -4*t - 4*z + 655 = -417. Let x be t\/(-4)*32\/(-24). Let i be 8 - -21 - -2*(-1)\/(-2). What is the greatest common factor of x and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (10 + (-45 - -10) - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5780 and -37.37596?\nAnswer: 5742.62404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/8*(-8)\/18. Let w = s - -1\/12. Factor 0 - w*y - 3\/4*y**2.\nAnswer: -y*(3*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 - 11*t - 71. Let j(y) = -2*y**2 - 4*y - 24. Determine -4*b(x) + 11*j(x).\nAnswer: 2*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1, -6*v + 2*v + 939 = p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(s**2 - 4*s**2 + s**2) - 2*s**2 - 4*s**2 + s**2 - 3 + 3 + s**2 + (s**2 - 2*s**2 - s**2)*(1 + 5 - 2) + 2 - 2 + s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -931, -1866, -2791, -3700, -4587, -5446, -6271, -7056?\nAnswer: -7795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 19*c + 1800 = 0. Let o be 6\/(-21) + (-30)\/(-7). Suppose c = -o*x + 10*x. Solve -i - x = 3*n, -3*n + 3*i + 5 = 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let p = 14 - 15. Let n be (p + -6 + 7)*(-2)\/4. Let r(q) = n*q + q + 2 - 6*q + 3*q. What is i(r(d))?\nAnswer: -4*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 + -2)*(0 + -1). Let w be 26\/(-7) + c\/(-49). Sort -5, 0, w in descending order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*u + 6*u - 1109, -4*w + 2*u = -874. Suppose 0 = -7*z + 2*z - w. Is z >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - -7)*(-4)\/(-18) - -394. Let z = 394 - a. Let -1\/3*k**2 + 2\/3*k + 1\/3 - z*k**3 = 0. What is k?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/((p**(-2\/7)*p)\/p)))\/p)\/p*p*p**(3\/5)*p**2*p\/p**10)**(1\/23) assuming p is positive.\nAnswer: p**(-269\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7146.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b = 51*b + 49092. Suppose -b = -2*c - 4*u + 2079, u - 15443 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -285, -294, -305, -318, -333, -350?\n\"Answer: -i**2 - 6*i - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzzwzrzuuzuzzwrzzzu. What is prob of sequence uuwr?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11 = 21. Let o be (98\/14)\/((-2)\/4). Let g = -9 - o. Solve g = 3*x - z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18*j**2 - 376*j + 46. What are the prime factors of x(-20)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**3\/6 - 4*m**2 - m. Let r = -90 + 97. Let c(k) = -2*k**2 + 11*k + 16. Let i be c(r). Give j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -22?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -81. Solve -a + 9 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let v(t) be the second derivative of 0*t**2 + 0 - 2\/3*t**3 - 8*t. Determine v(i(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -1192, -1191, -1190, -1189?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3660.1\nAnswer: 1830.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**3 + 11*k**3 + 10*k**3 + k**2 - 7 - 34*k**3 to the form n*k + y + p*k**3 + m*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 525 - 523. Suppose 4*o + 4*l = p*l - 2, -5*l - 5 = -o. Solve o*n - 2*n = 5*j - 23, 0 = -4*n + 3*j + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17298.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/93 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 4\/(-6 + 2). Let k = -2 + z. Solve k = -4*m - 0*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 1925236*m - 310066680 = 0. Calculate m.\nAnswer: -481470, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 201222?\nAnswer: -202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1104620 by 20.\nAnswer: -55231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = -n + 3, -24 = -n - 5*q. What is the highest common divisor of 152 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/21 + (-7)\/(-3). Let r be (-4)\/((-6)\/9*j). Suppose 176 = r*s + 18. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Let k = -12 + 12.5. Let x = -8\/5 - -82\/45. Which is the nearest to q? (a) 4\/7 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 42*h + 391. Give t(-11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apaa when four letters picked without replacement from pvappavraavvvppv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-4) + 231\/(-21). Let r = -72 - -220\/3. Solve -4*v - r*v**4 + 8\/3 - 4\/3*v**2 + a*v**3 = 0 for v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 973600 - 597776. Suppose -f - 2*g = 375814, -f + 5*g = 2*g + s. Let r = 213818 + f. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b46 (base 16) to base 6.\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25085886 to the power of 1\/2, to the nearest integer?\nAnswer: 5009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5, -229 = 3*z + 5*w - 4*w. Let o be z\/104 - 1\/4. Let x be -27*(-4)\/114 - 1. Is x greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 402471952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -890*h**3*n**2*u**3 + 25*h**3*n**2 - 2*h**3*u**3 - 2*n**2*u**2 wrt u?\nAnswer: -5340*h**3*n**2 - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(7))\/sqrt(6))\/sqrt(2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -451950*a**2. Let s(l) = 2*l**2. Calculate s(u(v)).\nAnswer: 408517605000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -28*j**2 - 6. Let k(r) be the first derivative of 1\/2*r**2 + 55 + 0*r. Give a(k(l)).\nAnswer: -28*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9329890477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnfnaf. What is prob of sequence nfn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 59?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 - j**5 + 327*j**3 + 2603*j**2 wrt j.\nAnswer: -120*j**3 - 60*j**2 + 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 40215*z**2 + 80442*z.\nAnswer: -3*z*(z - 2)*(z + 13407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1878 = -3*j + 63*c + 2085, 3*c - 75 = -3*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 - (-10 - (-2964)\/(-360)) and (-26)\/(-32) + 2 + -1?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6 = 2*b, 4*b = 5*b + 5*x - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 15, -5\/2, -4, -4\/31 in descending order.\nAnswer: 15, -4\/31, -2\/5, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Let d = -1\/23 + -18\/115. What is the second biggest value in b, 5, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 3147*n.\nAnswer: -3*n*(n - 1049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 58, 121, 220, 361, 550, 793?\n\"Answer: u**3 + 9*u**2 - u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/60 - 7*m**4\/24 - m**3 - 3*m**2. Let q be p(-5). Solve 4 + 0 = q*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-392)*6\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(q - 3*q + q)*(34 + 42 - 5)*(-1 + 2 + 0)*(5 + 0 - 2) to the form y + b*q and give b.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612130 divided by -3?\nAnswer: -2870710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169692804 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23779924 divided by 5.\nAnswer: 23779924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -3 + sqrt(539) + 0 + sqrt(704) - ((1*sqrt(121))\/sqrt(11) - (sqrt(44)\/(sqrt(8)\/sqrt(2)) + sqrt(11))).\nAnswer: -3 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120212 (base 3) to base 10.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/5770556?\nAnswer: -7\/5770556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44896 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 25*g + 3. Let x = 50 - 25. Let a be b(x). Let y(q) = 6*q + 1. What is the remainder when 52 is divided by y(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 23*a**2 - 43*a - 18. Let i be g(-21). Suppose -4*o + 2*y - 268 = -6*o, 5*o - i*y = 654. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -427?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 4*x. Let b be c(-3). Suppose 0 = 3*h - 2*v - 5, -h - 4*v - 20 = b*h. What is the remainder when 37 - (h - -2)*-1 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 14*b = -28*b + 708. Let m(z) = z**3 - 11*z**2 - 17*z + 11. Give m(b).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3) + 0)\/((-1)\/6). Suppose -3*d = 4*z - 2*z - v, 2*z - 3*d = 16. Is 13 a factor of ((-78)\/z)\/(0 + (-6)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*i + 223*i - 81*i - 3492 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 11 - 4 = 0, a = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30156232 is divided by 568.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-12))\/(-3*29\/696*-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-133))\/(5\/(-140)*4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/(-6)*584\/(-3212).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 5*m - 3. Calculate r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v - 4 = 0. Suppose -20 = -r + 4*n, 0 = -3*n - 13 - 2. Let i = v - r. Is -0.1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose c*r + 0*r - 235 = 0. Calculate the remainder when r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.87 + -0.17. Which is the third smallest value? (a) 0.1 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186 - 69*v - 3*v**2 - 1986 + 124*v + 194*v.\nAnswer: -3*(v - 75)*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 23*o - 128. Is v(-34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17. Let u(n) = -6*n**3 + n**2 + 2*n + 1. What is u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:18 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15286? (a) -5 (b) 1\/7 (c) 468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536 and 337344?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttnntnnnynyunnntyt. What is prob of sequence utt?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -46, -106, -202, -346, -550, -826?\n\"Answer: -2*v**3 - 22*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247947.\nAnswer: 3, 7, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 14*t**2 + 34*t - 16. Let p be n(-16). Let u = 45 + p. Let b = 0.15 - 5.15. Sort u, b, -4\/3.\nAnswer: b, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -851\/4 - -214. Let q(f) be the first derivative of 0*f**2 + 0*f**3 + x*f**4 + 9 - 7*f. What is the derivative of q(j) wrt j?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16*0 + 404. Let p = v - 71. Suppose 3*r = 8832 - p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 11. Let t be r(-7). Suppose 595 = 43*u - t*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v - 2*v**2 - 21*v - 9*v in the form p*v**2 + f + q*v and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, i: 7}. What is prob of picking 2 i and 1 y?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15083676, -15083678, -15083680, -15083682, -15083684, -15083686?\nAnswer: -15083688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-205)\/82*3\/1092*-2 and 39\/16?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215920 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 3*z**2 + 3*z. Suppose 2*c = -3*c - 15. Let q(a) = 10*a**3 - 14*a**2 - 14*a. Give c*q(l) - 14*g(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 30 - (-71 + 28) - (0 + -73).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = 1. Solve 3 = d*c - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 1. What is the remainder when x(5) is divided by (-18)\/(-4) - (-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**2 + 260 - 59 - 70 - 62 - 69.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2\/5))**(-4)\/((g\/g**(-10))\/(g**(2\/3)*g)))**20 assuming g is positive.\nAnswer: g**(-1136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(170)\/(sqrt(50)\/(sqrt(5) - sqrt(605))).\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/240934, 22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008*-0.7.\nAnswer: -705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z - 13. Suppose -16*k = -12*k - 36. Let h(l) = 5*l - 6. Let f(m) = k*h(m) - 4*g(m). Give f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1310.\nAnswer: -3930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-15) + 294\/10 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652.7717 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 8*o**2 + 4*o - 7. Calculate c(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 - (2 - 0) - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 11*o**2 + 4*o - 9. Let u(r) = -12*r - 2. Let z be u(1). What is the remainder when s(-8) is divided by (-680)\/(-18) + z\/(-63)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25881165 and 90?\nAnswer: 51762330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 234 - 146 = 8*a. Let g(k) = -k**3 - 20*k**2 + 2*k + 7. Calculate g(a).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:44 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34475 rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11607, -23250, -34967, -46794, -58767, -70922, -83295?\n\"Answer: -6*m**3 - m**2 - 11598*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 4*a. Suppose -12*n + 8*n - 584 = 4*k, -4*n - 5*k - 589 = 0. Let f = 74 + n. Let t = f - -64. Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-4)\/24 + -1 + 1. Let y(k) = 18*k - 6. Let q be y(a). Solve 0 = -2*o - o - q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150480 divided by 40?\nAnswer: -28762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -177a89 + 4?\nAnswer: -177a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83793.89906 + -83793. What is r rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/20 - 3*n**4\/4 - 36*n**3 + 3*n**2 - 48*n. Find c, given that b(c) = 0.\nAnswer: -6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(6\/4038*1)*1. Suppose 4*g - 1779 = -3*j + 998, g - k = -5*j. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 27*j**3 - j**5 + 16*j**3 + (-4*j**3 + j**3 + 2*j**3)*(j - j - 2*j**2) + 2*j**5 - j**4 + j**4.\nAnswer: 5*j**5 - 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 483*z**2 + 516*z + 33 = 0.\nAnswer: -1, -11\/161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (6 + 1 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 23 = 8*a. Suppose -a*i - 858 + 3113 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 337, 654, 951, 1228, 1485, 1722?\n\"Answer: -10*o**2 + 347*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 70\/(-3))\/(3\/9). Let v = h - 54. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 5*i + 5, 5*i + 2 = -y - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588032, -588029, -588026, -588023, -588020?\nAnswer: -588017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79794 and 5999058?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/24 - -6) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357983 + 357983 - 1582*i**3.\nAnswer: -1582*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 216?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67554719)\/(-55) - 92\/115 - (-46)\/253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -19*r + 3. Let l(m) be the first derivative of 37*m**2\/2 - 7*m + 782. Calculate 5*g(u) + 2*l(u).\nAnswer: -21*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3466 divide 1623813715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15939205?\nAnswer: 5, 3187841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 68\/11 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/15)\/(2\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/21*((1001\/(-22))\/13)\/(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 - 2*a**2\/9 + 8*a\/9 + 8\/9.\nAnswer: -2*(a - 2)*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -32*d**4 + 364*d**3 - 1412*d**2 + 2016*d - 576 = 0.\nAnswer: 3\/8, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Suppose 1134 = 3*l - 5*k, 9*l - k + 769 = 11*l. Let c = -406 + l. Put c, 1, i in ascending order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633330 rounded to the nearest ten thousand?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3\/4 (c) -1 (d) -2957 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 260515.\nAnswer: 260515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6187275?\nAnswer: 3, 5, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62*a*k*s - 4*a*k - 10111*a*s + 28*k*s - 2*k + 27497*s wrt a?\nAnswer: -62*k*s - 4*k - 10111*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:11 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.718 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/9 in -0.4, 24, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001208541847 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {w: 2, s: 10, n: 7, o: 1}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 463560 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 0, 7459, 3 in descending order.\nAnswer: 7459, 3, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 - -1)\/3. Suppose 3*u = -4*q - 31, 0*q = -3*q + 4*u - 42. Let m(g) = g**2 + 10*g + 12. Let t be m(q). Solve 0 = 4*w - j*w + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4497, 21242, 49151, 88224, 138461?\nAnswer: 199862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274269?\nAnswer: 919, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1338)\/4 + 0)*136\/(-6). What is the greatest common divisor of d and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(2\/((-70)\/(-7)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2*j + 3*j**4 + (457 - 457 - 19*j**3)*(2*j - 2*j - 2*j) + 0*j**4 + 0*j**4 + j**4 in the form x*j**3 + n*j + z*j**4 + c + y*j**2 and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {i: 1, g: 1, b: 2, u: 2, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21636.999982439 + -21637. What is l rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 - (9 + -15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 3*t**6\/2 - 18*t**2 - 11. Find the second derivative of w(u) wrt u.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -3*j = 2*c - 15, 0 = -s*j - 3*c + 13 + 2. Let q = j + -1. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 - 7\/2*f**2 + 0*f**3 + 1\/24*f**4 + 2*f. Let y(c) be the first derivative of l(c). Let j(q) = -2*q**2. What is y(j(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in 0.1, -3\/4, -4, 8.85?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*g - 128*g = -147 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 23 + 1\/(30\/56)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 2)*(-2 - 2*m + 2) - 3*m - 2 + 2*m - 14*m in the form p*m + u and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 5}. What is prob of picking 3 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 34, 95, 170, 253?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 2*r**2)*((2 - 2 - 2*r)*(-r - 3 + 3) + 11*r**2 - 16*r**2 - 7*r**2).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -14 + 137 + -132?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -13. Let z = 6 + a. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Let y = -3 - -3. Sort y, 1, f.\nAnswer: y, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403\/155 - ((-2)\/5)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -118. Calculate the greatest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 + j**5\/15 - j**4\/24 + j**3\/6 - 25*j**2. Let f = 7 + -5. Suppose -z = f - 6. Give u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.04*-1079.5\nAnswer: -32428.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**2 - 23*w + 188. What are the prime factors of a(13)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-3 + 7) - (1 - (3 + 0))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30539 - ((-1)\/(-2))\/((-27)\/54).\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -0.47. Let w = -0.5 - 1. Let o = w + m. What is o rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -257)\/(4*3\/12). Let u = 67 - g. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103670 + -4658.\nAnswer: 99012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - 1) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2457*c**3 - 14*c**2 + 7*c. Let x(g) = 8598*g**3 + 48*g**2 - 24*g. Give 24*q(f) + 7*x(f).\nAnswer: 1218*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtw when three letters picked without replacement from {x: 1, w: 1, m: 3, r: 5, t: 1, a: 2}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = 3*s, -4*o + s = -s - 6. Let x = 7.9 - 7.9. Which is the closest to x? (a) 4 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(3)*-2) - ((sqrt(3) + 1)**2*-1 - -1*sqrt(75)).\nAnswer: 3*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 (base 10) in base 4?\nAnswer: -12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -142*y - 95. Let k be d(-2). What is the highest common factor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 + 332*t + 1827. Calculate y(-6).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249113844?\nAnswer: 2, 3, 7, 141221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-12) - (13041\/(-6))\/7. Calculate the greatest common factor of 496 and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -267*o**2 - 3*o + 2058.\nAnswer: -534*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -689, -695, -711, -743, -797, -879?\n\"Answer: -t**3 + t**2 - 2*t - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 8*c + 25. Give k(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-428)\/(-84) + 3\/((-189)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348524749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 2*z. Let n = 30 - 26. Let o(b) be the second derivative of 0 - 3*b + 5\/12*b**n - 1\/2*b**3 + 0*b**2. Calculate -3*c(v) - 2*o(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -63.22. What is the closest to r in 0, 2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 16 = -n, -5*v - 3 - 24 = -2*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 6 = 0. Let n = u - -23. Suppose 4*b + 3*x = n, 2*x + 2*x - 12 = 0. Solve 0*s = -s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 197\/3. Which is the third biggest value? (a) -0.4 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-99)\/110)*(-9)\/12\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.089, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmcccc. What is prob of picking 3 c and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1389255 and -40.\nAnswer: 55570200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 530 = -x, t - 4*x = -5*x + 267. Calculate the remainder when t is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399 - -403.54. Let i = 1.54 - x. What is the closest to -1\/4 in -1\/9, i, -4\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -5*m + 5*d, -d - 79 = -908*m + 905*m + 9*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17280022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u + 15. Suppose 3*p - 3 - 12 = 0. Let y(s) = s + 6. Let j be y(p). Let z be d(j). Solve c + z = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-560*i - 806*i - 1108*i - 1131*i)*(3 + 5*i - 3 - 2*i**2).\nAnswer: 7210*i**3 - 18025*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 474*a*f**2*v + 93*a*f**2 - 5870*a*f*v + 4*a*v - 7*f**2*v + 58*f - 2*v wrt f?\nAnswer: 948*a*v + 186*a - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15243 - 0.5?\nAnswer: -15243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (480\/25)\/3 + 2\/(-5). Suppose m - 4 = 3*l, 0 = -l - 2*m + 2 + y. Suppose -46 = -3*f - j + 132, l = -5*f - j + 296. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*sqrt(684)*-2 + 2 + sqrt(684) + sqrt(684) + 2.\nAnswer: -48*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/10 and -97\/19752678.\nAnswer: 98763390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, j: 2, w: 2, m: 5, c: 2}. Give prob of sequence cim.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.255+-58498378\nAnswer: -58498377.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11758 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 37*u**2 + 103*u + 24. Give n(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -9. What is the remainder when 7 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 18. Let j(i) = -4*i - p*i - 4 + 4. Let c(k) = k. Determine c(j(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/800281 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -0*x - 3*x. Let b be x\/(-5) + 2\/(-10). Suppose -8*h + b = -3*h. Solve j + 8 = -h*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335, -1931, -8071, -20017, -39701, -69055?\n\"Answer: -322*q**3 - 5*q**2 + 3*q + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, l: 6}. Give prob of sequence lhhl.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6330.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 6*o**2 - 439*o - 48. What is j(-24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1332 and 43\/3552.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 1\/13 (c) -51.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13450*o - 4566*o - 2137*o - 6658*o to the form k*o + p and give k.\nAnswer: -26811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57767.13 seconds to microseconds.\nAnswer: 57767130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 59*h**2 - 5*h - 21. Let i be s(-3). Calculate the greatest common divisor of 651 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 72, -15, -1\/4, 2\/5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -386c7?\nAnswer: -386ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(-34)\/(-119)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1208 - 6036\/5. What is the biggest value in 12\/17, -2, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, -6\/5, 148 in increasing order.\nAnswer: -3, -6\/5, 4\/5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/36 and -2\/6375?\nAnswer: 76500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x + 9. Let u(w) = w**2 + w + 1. Let v(j) = h(j) + u(j). Let y be v(-9). Which is the second biggest value? (a) 0.1 (b) y (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-12)\/18*(-1)\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-371)\/(-2) + -16)*(-106)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.091? (a) 1 (b) -2.6 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -397673, -397691, -397743, -397847, -398021, -398283?\n\"Answer: -3*b**3 + b**2 - 397671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 64*m**2 + 999*m - 12*m**2 - 12 + 5.\nAnswer: 52*m**2 + 999*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*t + 10, 25 = 5*p + 7*t - 5*t. Let g(y) = 5*y**2 + 100*y + 2595. Let x(o) = 2*o**2 - o - 3. Let n(m) = p*g(m) - 6*x(m). Factor n(v).\nAnswer: 3*(v + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29*48\/464*((-21)\/12)\/((-12)\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2829 - 2829. Solve i = 60*o - 51*o - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5630 in -1\/6, 3, -96, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 904227\/35 + -25837. Calculate the common denominator of v and 86\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476432374?\nAnswer: 2, 3, 13, 19, 173, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 divided by -3.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:24 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279980\/3 - 94263. Is z greater than or equal to -936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*u - 163*u - 946 = 0. Calculate the greatest common factor of 817 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*(k*k**(-1\/6)\/k*k*k)\/k)))**(-13))**(-3\/46)\/(k**(4\/9)*k\/(k*k\/k**(-2)*k)*(k**(-5\/3)\/k*k*k)\/k*k\/k**5*k) assuming k is positive.\nAnswer: k**(8095\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 16 = 2*g, 0 = 8*g - 7*g - c - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -6*c. Let -6\/5*m + 2\/5*m**c + 4\/5 = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -2.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c + 4 - 4 + 4 - 4 - c + (-4 + 0 + 2)*(-c + 15*c + 6*c).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9955*l + 2 - 10513*l - 15 in the form o + d*l and give d.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 25884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -16909?\nAnswer: -16891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200.32 + 201. Let z = y - 2.68. Which is the closest to -1\/25? (a) 1 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3 - 7312*z**2 + 14621*z - 7310 = 0.\nAnswer: 1, 7310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5641 + 5473 + n - 11518 to the form s*n + o and give o.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyooyoo. Give prob of picking 3 o and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 427727174 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 13328.844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**3 + 41*q**3 - 4*q**3 - 8*q**3.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7629 < -853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5089 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8398 (base 10) in base 8?\nAnswer: -20316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/53020 and -41\/1650?\nAnswer: 795300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 55 = 2*a, -a + t + 22 = 5. Let l be -1*15*(-4)\/a. Suppose -15 = -5*w - l*j, 5*w = -6*j + 2*j + 15. Solve f - 1 + 5 = 4*m, -12 = -m + w*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5247955322 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2327.1741 seconds to minutes.\nAnswer: 38.786235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-9) - 660\/495.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 8. Let u be v(6). Suppose -x = u*x - 3*c + 12, -20 = x - 5*c. Suppose 3*m + m - 104 = x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47840682 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p - 801. Let q(l) = 12*l + 533. What is 5*n(i) + 8*q(i)?\nAnswer: i + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 1, -5, -720, -3, -2, -1 in descending order.\nAnswer: 72, 1, -1, -2, -3, -5, -720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117118 is divided by 411.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 22.55. Let t = -0.88 + 1.03. Let p = m + t. Which is the third biggest value? (a) -4\/5 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3752 and 11\/20552.\nAnswer: 1376984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 1303*b**2 + 2609*b - 1305.\nAnswer: -(b - 1)**2*(b + 1305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10*r**2 - 9*r - 135. Let q(x) = 4*x**2 - 4*x - 68. What is -3*d(z) + 7*q(z)?\nAnswer: -2*z**2 - z - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805 + -95. What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(78))\/sqrt(6) + 3*sqrt(13) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(((-192)\/840)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.948347 minus -2668814?\nAnswer: 2668838.948347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 305.8 - 96.2. Let w = p + -210. Let f = -42 + 47. What is the nearest to -1.9 in -2, f, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4106548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0184121778 rounded to five dps?\nAnswer: -0.01841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4995408.\nAnswer: 2, 3, 11, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) -3524\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.712 * -0.04498.\nAnswer: -0.03202576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -22d0707?\nAnswer: 22d0714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 45*r**2 + 3*r + 3. Let h be c(-1). Let u be (-24)\/(-36)*h\/74. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.056 and -1212?\nAnswer: -67.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -16, 2, 38, 98, 188, 314, 482?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733418 * -3.\nAnswer: 2200254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -58, -97, -172, -295, -478, -733?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86346 and 7080372.\nAnswer: 7080372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)*(w**(13\/3)*w*w*w)\/w*(w**(-25)\/w)\/(w\/w**(-2\/5)*w) assuming w is positive.\nAnswer: w**(-1339\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6813.1 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*t = 3*r - 14879, -3736 = -r - 2*t. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -3*a, 2*h = -2 - 4. Let k(d) = -5*d + 0*d - 3 + 0*d + 4*d + a*d. What is k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8629 - -10939. Calculate the remainder when 2310 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5796792 to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 - 87*x - 237. Let y be m(-6). Calculate the greatest common factor of y and 4805.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p + 5. Let s be z(7). Let n be 40\/18 + 2\/s. Suppose 0 = n*y - 2*w - 8 - 14, -y - 5*w + 11 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 29*a - 7. Give c(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 9, 0.3, 0.4, 2\/451, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/(3 + -2). Let j be 15\/6 + t\/4. Factor j*c**3 + 2*c**3 - 6*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -145\/35457?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 633?\nAnswer: 6963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33698 + 33698.0000041786. What is s rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -5*f + 25, 2 = 3*q + f. Let o = -3 + -7. Let p be ((-16)\/10)\/(o\/25). Put -17, p, q in descending order.\nAnswer: p, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.156 + 1548945.\nAnswer: 1548931.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 167\/13, -4, 0.5 in decreasing order.\nAnswer: 167\/13, 0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7639?\nAnswer: 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*r**3 - 68*j**3 + 5208770*j**2*r**3 + 29690*j*r wrt r.\nAnswer: 12*j**3*r + 31252620*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 11*j - 4. Let d(l) = l**2 + 9*l + 3. Calculate -5*d(y) - 4*q(y).\nAnswer: 3*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/3, -63, -2, 3, 171 in descending order.\nAnswer: 171, 3, -1\/3, -0.5, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38006517 + 31.5.\nAnswer: -38006485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/120 - d**5\/3 + 3*d**3\/2 + 4358*d**2. Calculate g(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*d + 1272 = 0, 619 = -4*n - 3*d + 1889. Calculate the common denominator of (-24)\/(-9)*(-26)\/8 and (0 + -1)\/((-24)\/n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 6*i + 3. Let a(f) = -f**2 - 5*f - 3. Let x(v) = -v**2 - 15*v + 244. Let n be x(10). Give n*a(c) - 5*q(c).\nAnswer: c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 0*a + 30 = 0. Let k be ((-3)\/((-3)\/2))\/2. Let s = k + a. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 840, -4, 9, 0, 5 in decreasing order.\nAnswer: 840, 9, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6*-1)\/(2\/(-6)). Let o be 28119\/6669 - -1*1. Let c = 46\/9 - o. Is u < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -6814843?\nAnswer: -6814843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) + (36604\/28 - -9).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, -2\/3, -163307, -1?\nAnswer: -163307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 283296 and 12712.\nAnswer: 1983072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/8 + p**3\/6 - 2*p**2. Suppose -5 = -2*w + 3*w - x, -4*w = -2*x + 12. Determine c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:36 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004923502672 rounded to 7 decimal places?\nAnswer: 0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-2) - 13\/((-52)\/12). Let q be (x\/10)\/((-7)\/28). Factor -1\/5*h**5 - 2\/5*h**4 + q*h**2 + 1\/5*h + 0*h**3 + 0.\nAnswer: -h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/13332 and 35\/1551.\nAnswer: 626604","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*40\/(-16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -336786 in increasing order.\nAnswer: -336786, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -55ccb9 (base 16) to base 11\nAnswer: -31a0690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - -4) + 0 + 1. Let t = 20 + b. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 5. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**4 + f**3 - 6*f**4 - 2*f**3 - 2*f**2 as a*f**3 + o*f**2 + t + r*f + g*f**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 v when four letters picked without replacement from {f: 4, v: 6, z: 2, u: 1, o: 4}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 113, -0.5, -223, -1, 0.5?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:44 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60711*r**3 + 30505*r**3 + 30205*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-33) - (1 + 38\/(-6)). Suppose -q = 4*l + 11, 2*l + l - 5*q + 14 = 0. Sort c, l, -7 in descending order.\nAnswer: c, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660970 is divided by 307?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6910 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082832 divided by -10616?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 223 - 229. List the prime factors of t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4990?\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(343)*-2*-1.\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 8) to base 5\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -101*d + 2. Let a(t) = -2052*t. What is w(a(k))?\nAnswer: 207252*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -85386, -5.\nAnswer: -85386, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 120\/16*(-4)\/(-3). Suppose 3*z - 8 = s. Solve -4 = -2*q + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:58 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -14513610647982.\nAnswer: -14513610647981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 51*v - 4. Let w be r(3). Let f(k) = k - 4. Find the common denominator of f(-8) and w\/(-36) + (-4)\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 25624738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 8*p - 11 = 0. Let y = 11 + p. What is the tens digit of y\/((-10)\/(-2)) - (-32)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/15 + 276*x**2\/5 + 2*x\/15 - 276\/5 = 0 for x.\nAnswer: -1, 1, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353725985 to the power of 1\/3, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/307300 and 3\/1756.\nAnswer: 307300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85793 or 3431751\/40?\nAnswer: 3431751\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f. Let g be (f\/3)\/(2 + -4). What is the second derivative of -3*u**2 - u + g*u**2 + u**2 wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a + 3. Let l(d) = -2*d - 2. Let u(x) = x + 11. Let f be u(-8). Suppose 0 = -f*n - n + 8. Let y(r) = n*s(r) + 5*l(r). Factor y(c).\nAnswer: 2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 300.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7401461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 55150*r + 2*r**2 - r**2 - 6386 + 55148*r - 110298*r in the form o*r**2 + g*r + z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 415 + 90 = -b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -eda2b?\nAnswer: eda27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 841 and 12998405358.\nAnswer: 12998406199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 17*m - 17. Let s(p) = -p**2 + 6*p + 6. Let h(d) = 6*n(d) + 17*s(d). Let c be (-3)\/5 + 54\/15. Let l(o) = -c*o - 3 + 3. Determine l(h(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6522026 and 15323.\nAnswer: 71742286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 - 11*d + 7. Let n(s) = -3*s**2 + 6*s - 3. Let v(z) = -2*b(z) - 5*n(z). Let q be v(8). Sort -2, q, -5 in descending order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2868102?\nAnswer: 2, 3, 53113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 371 = -37*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -i + 2, 3*i + 26 = 8*v - 3*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 812, 1359, 1906?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25421 - -0.2?\nAnswer: 25421.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 17*x**2 + 55*x + 1144. Give s(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 12*f - 23. Determine g(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153537, -153491, -153445?\nAnswer: -153399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-18)\/12)\/(1\/6). What is the common denominator of (((-9)\/2)\/c)\/(33\/1100) and 46\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-6\/25))**(17\/5) assuming b is positive.\nAnswer: b**(102\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.05 + 0.05. Let s = v - -6. What is the nearest to s in 2, -6\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 82*p - 14*p)*(3 - 5 - 1).\nAnswer: 255*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 321394079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2072064609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 64 - 38*m)*(1 - 1 - 1)*(21*m**3 + 14*m**3 - 33*m**3) + 0*m**2 + 0*m**2 + 2*m**4 + (2*m**4 + 4*m - 4*m)*(5 + 1 - 4) + 2*m**4 - 2 + 2.\nAnswer: 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 1245 = 1114 - 2074 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 317*g**2 + 25591*g - 73947.\nAnswer: (g - 157)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -57*(-2)\/6 + -1. Suppose 4*t + u = -10, -5*t + 0 = 4*u + 7. Let s = t + w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -0*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 105 + 14*z**3 + 104 - 2*z - 6*z**3 to the form i + f*z**3 + r*z**2 + x*z and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 4. Let s = 22 + -18. Let z(m) = 21*m - 11. Calculate s*z(n) + 11*p(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 4*f - 55. Let u be n(6). Suppose u = x, -10*s + 2*x + 2 = -13*s. Are s and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9460790 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d905 + -133?\nAnswer: d7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 314*j + 7452. What is the hundreds digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*u**2*v**4 + 2*u**2*v**3 - 26*u**2 + 2*v**2 wrt v?\nAnswer: -432*u**2*v + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 355 + 1308 - 240 - 357 - 356.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a + 2*a + 3*a)*(1 + 2 - 1) + (15 + 5 + 0)*(-a - 2*a + 5*a))*(1 - 115*a + 60*a + 60*a).\nAnswer: 210*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let t(s) = -2*s**2 + 153*s + 27. Determine g(t(u)).\nAnswer: -4*u**2 + 306*u + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 81, 235, 513, 951, 1585, 2451, 3585?\nAnswer: 5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 - n**3 + 11798013*n**2 + 647732*n + 508 wrt n.\nAnswer: -12*n**2 - 6*n + 23596026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = 3*n, 0 = -l - 0*l + 2*n + 7. Suppose l*h + 2*h + 198 = 0. Is 15 a factor of (-4)\/(((-7)\/h)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -2\/3 (c) 3\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d. Let q(j) = -14*j**2. Give n(q(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-324)\/(-8)*(1 - 11). Let q = -200 - k. What are the prime factors of q?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 94*o - 4*r + 25 = 0, r + 3*r - 19 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18160168231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1614*c - 1615. Give o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2 (c) -0.16 (d) -591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j + 1. List the prime factors of q(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-63) + (-2294)\/333.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-810))\/(-2))\/(570\/342)\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 28. What is the tens digit of 125*(8\/o - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let s be d(0). Let b(a) = a**3 + 4*a**2 - 6*a - 5. Suppose 25*l + 11 + 114 = 0. Let v be b(l). Solve s = -v*y + 4*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*z + 15759 = 1049, 0 = 5*z - 10. Let 16*o**2 - 3710*o**3 + 18*o**4 - 2*o**5 + q*o**3 - 2*o**2 = 0. Calculate o.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-10)\/(-3)*1030\/206*21\/35.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -1079\/7?\nAnswer: -1079\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose -3*m + 4 = -t*d, 2*d - 3*d = -m. Suppose 0 = m*q + 26 + 14. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 4. Suppose -2*v - 3*s = 8, -4*s - 6 = -s. Let w be (-37)\/1 - (0\/v + -1). Let b be 2\/(-1)*90\/w. Calculate p(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20060405 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) -0.29804 (c) -2\/33 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -h - 5*d, 5*h - 4*d + 17 = 52. Let b(y) = 4*y**2 + 13*y - 1. Let c be b(-4). Solve h*z - 2*o - c = 0, -2*o = -z - 3*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -48*(0 - 6\/8). Suppose -3*r - 2 = -14. What is the greatest common factor of o and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, h: 3}. Give prob of sequence th.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 1. Let f be g(2). List the prime factors of -5 - -4 - f - -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 6 - 6)*(-2*j - 2 + 2)*(3*j - j + 3*j)*(2 - 2 + j)*(0 - 4 + 1) in the form r*j**3 + n + m*j + p*j**2 and give r.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 47\/3, 6, 1 in increasing order.\nAnswer: -3, 1, 6, 47\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 5 + (46 - 80)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 694.4*0.2\nAnswer: 138.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*u - 84. Let j = -39 - -42. Suppose 2*a - 4*a + 130 = 4*h, 5*h - j*a = 168. What is the remainder when h is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40631 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 3*k**2 + 304*k - 5. Calculate h(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/2520 + k**4\/12 - k**2. Let x(p) be the second derivative of s(p). Let m(i) = 0*i + i - 3*i. Give m(x(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/14 and 65\/812.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-10)*(-145)\/58. Solve -2*c - 6 = -p*i, -2*i + 7 = 3*c + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 - 2*t**5 + 4*t**3 + (3*t**3 - t**3 - 3*t**3)*(-2*t**2 - 3*t**2 + t**2 + (3 - 4 + 0)*(-7*t**2 + 3*t**2 + 3*t**2)).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3072419908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20) - (-69)\/(-12). Which is the nearest to 2\/9? (a) 0 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(1\/29)*v**2\/(v*v**(1\/9)))\/((v**8\/v*((((v**8\/v)\/v)\/v)\/v)\/v*v)\/(v**(-4)*v*v\/(v\/(v\/(v*v**(-1\/3)))))) assuming v is positive.\nAnswer: v**(-3317\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 25. Let a = d - -28. Let f = -18 - -34. What is the remainder when f is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 4*i**2 + 11*i - 4. Let x be k(-6). Suppose -3*a + 4*a - 2 = 2*t, x*t = 2. Factor -42*u**2 - 8\/5 - 25*u**a + 68\/5*u + 55*u**3.\nAnswer: -(u - 1)*(5*u - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132642.\nAnswer: 2, 3, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (8 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 - x - 1. Let b(r) = -3*r**3 - 9*r**2 + 9*r + 24. Let f(o) = b(o) - 2*z(o). Let a be f(-8). Solve 5*d = -17 + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75382 is divided by 24414.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(248\/(-480) - (-2)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/50 + i**4\/10 + 2*i**3\/15 - 19*i. Let h(n) = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28154043 to the nearest integer?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9*(-11 + -1372). Suppose 4*y = 2*u - 1848, -2*u + 9*y + k = 7*y. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 5*o**2 - 12 + 32)*(-6*o**3 - 50*o + 50*o).\nAnswer: -30*o**5 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(2\/9))\/j)\/j)**9*((j\/(j\/j**(-1\/3)))\/j)\/j**3 assuming j is positive.\nAnswer: j**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-1170)\/104)\/(2 + -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s + 3. Let f be d(4). Suppose -j = -4*q - 29, -f*j + 6*q - 3*q + 51 = 0. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 53, 47, 13, -55, -163, -317, -523?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39031982837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose 3*q = -i*q + 115. Suppose -v + q = -5*u - 0*u, -9 = u + 2*v. Let x(n) = n**3 + 5*n**2 + 2*n + 4. Determine x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 8869\/8 + 282\/752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -40, -3703, -2 in decreasing order.\nAnswer: 2, -2, -40, -3703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Let z = 22 - 30. Which is the smallest value? (a) 3 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1359520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1 (b) 3 (c) -38\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5311 by -60.\nAnswer: 5311\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 8*i - 3. Let t(f) = -f**2. Let u(v) = o(v) - 5*t(v). Let l be u(-7). Solve -1 + 9 = -l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*p - 5*g, g - 6 = 2*p + 4. Let y(k) = -k - 4. Let u be y(p). Which is bigger: u or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -643*d + 640*d - 33 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - (sqrt(9) + sqrt(9)*2)*1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*v = -54, -2*u + 39 = 3*u + 2*v. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/5 (c) 4 (d) 195 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 6*w + 10. Let j(y) = 4*y. Let v(n) = 5*n + 1. Give w*v(q) + 3*j(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 285697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5603038, 5603039, 5603040, 5603041?\n\"Answer: b + 5603037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(3*g**5 - g**5 + 0*g**5) + 2*g**3 + 164*g - 1 - 164*g - 2*g**5.\nAnswer: 2*g**5 + 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 4:47 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -37*g + 2163. Let m(i) = 6*i + 1. Calculate -6*m(h) - x(h).\nAnswer: h - 2169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 0.3 (c) -1883 (d) -2\/3 (e) -4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -28 + (-2 - (-6 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023755848 rounded to seven decimal places?\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 12, 19, 28, 39, 52?\n\"Answer: m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 44 = 4*m, 2*m - 1 = -5*r - 3. Let f = -7 + m. Which is the closest to 0? (a) -5 (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94.58299 millennia?\nAnswer: 94582.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-10))\/((-6)\/(-176)). Let z = w + -28. Let b = z - 8. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b = 31*b + 636. Suppose -3*y = -6, -n - b = n - 2*y. Let z = 243 + n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 2 = -22. Let v(p) = 2*p**2 - 7*p + 6. Let y be v(u). Does 13 divide (-4)\/((-4)\/31) - 1*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + -4 + -2*((-3*sqrt(320)*1 - sqrt(320)) + sqrt(320)*-1*-4 + sqrt(320))*-6)**2.\nAnswer: -1344*sqrt(5) + 46126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 5*b + 2. Let p(s) = s**2 + 3*s - 2. Let q be p(-4). Suppose z = -q*z - o + 7, 4*z = -o + 10. Does 5 divide n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from bbvvvbfbbvvvbvbbbbb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 793 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 30*b**3 + 41*b**2 + 41*b - 108. Let x(m) = -7*m**3 - 10*m**2 - 10*m + 25. Let k(j) = -3*l(j) - 13*x(j). Suppose -8*g - 25 = -3*g. Determine k(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 - 536*i - 18538 = 0. What is i?\nAnswer: -31, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 - 10*p + 12. Let a be z(-6). Let k(l) be the third derivative of 0 + 1\/6*l**3 + l**2 + a*l + 1\/8*l**4 - 1\/60*l**5. What is k(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -5, -3, -12, -3008 in decreasing order.\nAnswer: 51, -3, -5, -12, -3008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16003.\nAnswer: 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 1\/3519679?\nAnswer: 1\/3519679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6129 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1947\nAnswer: -778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 34. Let g(t) = -t**3 - t + 3. Let v be g(0). Suppose 0 = -p - v + 9. Calculate the remainder when r is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32203\/10 - -3213. Calculate the common denominator of ((-3)\/6)\/(4\/59) and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.037 to zero dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, f: 11}. What is prob of sequence vv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 5}. What is prob of sequence ftf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 68072\/14641?\nAnswer: 68072\/14641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6787\/14808)\/((-1)\/(-8))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1402 + -1042. What is the greatest common factor of 216 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11016 and -149\/510.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2)*2*(275\/10)\/(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*l + 7264 = 0, 2*k = 29*l - 31*l + 7270. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 - 6*k - 7. Let t be 15*(2 - 7\/3). Let n be b(t). Suppose -3*s = -5*s + 4. Solve -20 = -4*r - s*l - 2, -5*l + n = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y - 5*j + 18, -3*y + 2 = -j. Let g be 3 + y + 8\/(-4). Suppose g*i - 2*a = -0*a + 4, 0 = -5*i + 5*a. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 14) to base 3\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 5*q + 4. Let z be b(-4). Suppose z = -v - 0*s - 3*s + 8, -2*s = 4. Calculate the lowest common multiple of 18 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 62 = -4*y, -y + 23 = 4*j - j. Let d = -17 + y. What is the tens digit of (-6)\/(-9) + (-46)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t - 3. Let m be j(1). Solve -y = -3*y - 2*l - m, 12 = -4*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003843306845 to 5 decimal places.\nAnswer: 0.00384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 31*y**2 - 34*y + 26. Let j(g) = -g**3 - g**2 - g - 1. Let i(a) = -6*j(a) - m(a). Factor i(x).\nAnswer: 5*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 23\/4. Let d(l) be the first derivative of 0*l + u*l**4 + 0*l**2 + 3 - 5\/3*l**3. Find the third derivative of d(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406634436 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128, 244, 394, 596, 868, 1228?\n\"Answer: 3*a**3 - a**2 + 98*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1515 and 53\/2205.\nAnswer: 222705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*v**4 - 4\/9*v**3 + 2\/9*v**2 + 0*v + 0.\nAnswer: 2*v**2*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110391 - 64002. What are the prime factors of w?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -247 - -252. Let w be 20\/(-10 + y)*2\/(-36). Factor 2\/9*c**2 - 2\/9*c**3 + 2\/9*c - w.\nAnswer: -2*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 16, -3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7590 and 81420?\nAnswer: 895620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 44*s - 10*s - 12*s)*(-60*s + 60*s - 15*s**2).\nAnswer: 1050*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-26)\/(-10) - 5220\/9425.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*w**4 - 12*w**2 - 3*w?\nAnswer: 1512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 10 = 0. Solve -5*a + 2*q + 3 = 0, 6*a + r*q = 4*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:11 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*j - 4, l + 0*l = 4*j - 6. Suppose -l*q + 0*q + 734 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(-1)*-30. Let n be (-294)\/(-15) + 6\/i. What is the highest common factor of n and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000 (base 3) in base 4?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v - 1 + 0 + 1.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -4 + 0*f + 1\/60*f**6 + 3*f**2 + 0*f**4 + 1\/6*f**3 - 1\/30*f**5. Find the first derivative of h(o) wrt o.\nAnswer: 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0*v + 0*v**2 + 4*v - v**3 + 2 + 2*v**2. Is q(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i\/(i*i\/(i\/(i**(-10)*i)))*i)\/i)\/i))\/i**(2\/5))**(-2\/21)\/((i*i**(-1\/15)*i**(3\/2)\/i)\/(i*i**1*i\/i**(2\/9))) assuming i is positive.\nAnswer: i**(193\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g - m = 2, -5*g + 4*m = 31. Let u = 3 - g. Let q be -2 - (-2*u - 0). Calculate the greatest common factor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8256 - -8261. Let l(j) = -7*j**3 - 5*j**2 + 4*j + 4. Let h(b) = -8*b**3 - 6*b**2 + 5*b + 5. Give g*l(v) - 4*h(v).\nAnswer: -3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1*(-3 + 2)). Suppose 13 - 7 = -6*k. Calculate the remainder when 22 is divided by t\/(((-3)\/24)\/k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 25*w + 7127 + 40*w - 65*w)*(2*w**2 + 0*w**2 + 2*w**2) + 2*w**3 + w**3 - 2*w**3 as c*w + k*w**3 + p + j*w**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476*y + 388 = -2173*y - 8702 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 44. Let o be 26\/(-4) + (-3)\/(-6). Let r be (-56)\/o - (-6)\/9. Solve 5 = -3*g + a*q, -g + 5*q - r = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480325167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 679222 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.033 + -25. Let c = 2.133 - b. Let z = 2.10088 - c. What is z rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 2411132102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154874.\nAnswer: 2, 211, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 33 + 14 = -3*n, -4*n = -4*t - 36. What is the remainder when 4588\/93*(-3)\/t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 80208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7268 - -7265. Sort -2\/17, -5, o, 0.4, -0.0183 in ascending order.\nAnswer: -5, o, -2\/17, -0.0183, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/4 - 1485*q**4\/2 - 5835*q**3 + 14650*q**2 = 0. What is q?\nAnswer: -586, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 o when four letters picked without replacement from bbobbbbobbb.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -2\/3 (c) -25 (d) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 645.97 - 652. Let c = 6 + u. Let g = 0.03012 + c. Round g to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (109 + -3)) + -5. Let g = 110 + b. Let p(f) = 4*f**3 + 4*f**2 - 4. Let y(s) = 4*s**3 + 3*s**2 - 3. Give g*p(l) + 4*y(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:01 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -9 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238215961?\nAnswer: 8387, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 56, -1, 21, -4, 11 in descending order.\nAnswer: 56, 21, 11, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 2*a**2 - 5*a - 2. Let j(f) = f**2 + 5*f - 3. Let x be j(-6). Suppose 3*q + 22 - 1 = x*t, -3*t = -9. Let i be (q + 1)*(0 - -1). Calculate p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 + n**2 - 4*n**2 + 0*n**2. Let t(q) = -4*q. Determine c(t(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpppbpppppfpfpp. What is prob of sequence pbpf?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 117 - 119 - 4*j)*(-4 + 1 + 4)*(-3 + 7 - 2) as z*j + w and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 2. Let r be y(5). What is the third derivative of r*w**6 - 3*w**2 + 0*w**6 + 2*w**2 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1603 - -1602.8407. Let c = 0.11 - -0.05. Let a = c + v. What is a rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.9 + -71.9. Let w = s + 65. Which is the nearest to 1? (a) w (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1568 divided by 4\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 15*k**2 - 7*k + 46. Let j be l(15). Let f = j - -66. What is the smallest common multiple of f and 23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 14*a**2 + 27*a - 4. Let s be z(-13). Let f be (9 - 8)\/((-2)\/s). Suppose 0 = -h + q + f, q = 2*h + 3*q - 166. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -43*j**5\/5 - j**4 - 32*j**3\/3 - 5*j**2\/2 - 197. What is the third derivative of w(c) wrt c?\nAnswer: -1032*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 198*x = 64*x + 1275 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:50 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 2*k**2 - 1. Let c be a(-1). What is the least common multiple of 10 and 55\/77 - c\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let m(d) = -6*d**2 - 505*d - 1. Calculate m(w(s)).\nAnswer: -24*s**2 - 1010*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69118769*y**6 + 4528497*y**2.\nAnswer: -8294252280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8, -60*k + 64*k = 3*p - 106. Suppose 40*r = p*r + 154. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 3*c + 7*c, 0 = 5*i + c - 24. Let d be ((-2)\/i)\/((-8)\/20). Let x(k) = 3*k + 1. Let a be x(d). Solve -3*f = -n - 2*n - 3, a = 4*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 7*u = -2065. Let h = -142 + u. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 + 5*r**2)*(-6 + 2 + 3).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3600 divided by 200.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2 + 3*a + 28. Suppose -r + 0*r + 2*i - 13 = 0, 5*i = 3*r + 35. Is o(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(c**3 - 5*c**2 + 5*c**2) - 3071*c**2 + 588*c**4 + 3071*c**2.\nAnswer: 586*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -13*f**5\/30 + f**4\/4 + 7*f**3\/3 - 21*f**2. Let d(j) = -9*j**2 + 2*j + 5. Let m(t) = 17*d(t) - 6*s(t). What is m(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.84692 litres?\nAnswer: 38846.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24567030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*w + 16, w - 12 = 3*c - 8*c. Suppose 5*y + 3 = -2*j, -4*y = j - w*j - 8. Is 11 a factor of j\/(-4)*(40 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 112*s**2 - 234*s - 114. Determine n(-110).\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -254 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2734047 (base 10) to base 13.\nAnswer: 7495a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 15. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.20572356005865 + -5\nAnswer: -4.79427643994135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*i + 1012*i - 105 = -10*n, 0 = 2*i - n - 14 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-42))\/(-2 - (-2632)\/1302) and 11\/232.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31920 is divided by 486?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/18144 and -191\/88704?\nAnswer: 798336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 + -4 + 63 + (1 - 0) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-1\/6))**(-32) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7830 (base 10) to base 9.\nAnswer: -11660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 6*d = 3*k - 3*d, 4*d = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) + sqrt(48))*-3 + sqrt(33)\/(sqrt(11) + (sqrt(88)*5)\/sqrt(8)).\nAnswer: -647*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 + 6*l**2 - 6*l**2)*(10*l**2 + 4*l - 4*l) + 0*l**3 + l**5 + 0*l**3.\nAnswer: 51*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(343) + (sqrt(343) + 3)**2 + 0)*-4.\nAnswer: -1408 - 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 1. Let o(v) = 42*v - 18. Let d(r) = -18*g(r) - o(r). Let i(z) = 12*z. Calculate i(d(l)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1620, 2, -3, 0.514, -1\/6, 2\/7.\nAnswer: -1620, -3, -1\/6, 2\/7, 0.514, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 21*r - 152. Determine g(16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z**2. Let w(i) = 8*i. Let c(p) = -15*p. Let t(f) = 3*c(f) + 5*w(f). Let y(d) = d. Let j(m) = t(m) + 6*y(m). Calculate v(j(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 301 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-m + 6*m + 0*m) + (-m + 2*m + m)*(2 + 0 + 0) - 7*m + 19 + 5*m + 3*m.\nAnswer: 15*m + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/7 + 165*g**2\/7 - 1368*g\/7 + 4612. Solve d(w) = 0.\nAnswer: -114, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n + 366. Let r(w) = -17*w + 362. What is 4*a(z) - 3*r(z)?\nAnswer: -5*z + 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/17 + 6*v**4\/17 - 92*v**3\/17 + 144*v**2\/17 = 0 for v.\nAnswer: -9, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -12*q**3 - 107*q**2\/2 - 9*q + 2. Differentiate g(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:01 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.6 - 38. Let h = 4.62 + g. What is h rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260011 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {n: 11, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*j**2 + 796*j - 128104 with respect to j.\nAnswer: -126*j + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/2, -1, -2.7, -5, 265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o. Let g = 35923 - 35922. Let n(a) = -10*a**2 + 2*a + 5. Let z(r) = 10*r**2 - 3*r - 6. Let f(u) = 6*n(u) + 5*z(u). Determine g*f(i) - 3*v(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/5 + 3938*y**4\/5 + 147102*y**3\/5 + 668662*y**2\/5 + 207056*y + 509784\/5 = 0.\nAnswer: -1931, -33, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -8*c**5\/15 + c**4\/12 + 56*c**3\/3 - 116*c**2. Differentiate p(i) with respect to i.\nAnswer: -64*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let i(h) = -h + 4. Let v be i(y). Let c(m) = -7*m - 1. What are the prime factors of c(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00162073903 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -90348 divided by -283\nAnswer: 90348\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1811 + -1810. What is the nearest to 2 in j, -1\/3, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 19*y**2 - 10*y + 513. Let i be v(18). Solve i*f = 2*t + 5*f - 2, -3*t - 7 = -f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1377) + sqrt(1377)*-1*-4) - (2*(sqrt(1377) - (sqrt(1377) - 1*sqrt(1377))) - (sqrt(1377)*-1*2 - sqrt(1377))))**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.3 + -0.3. Let g = -110 - -98. Let a = u + g. Sort -1, a, 0.5 in decreasing order.\nAnswer: 0.5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-50)*9\/(324\/(-20))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.04. Let b = -0.6 - -1. Let h = b - 0.3. Put s, h, -2\/7 in descending order.\nAnswer: h, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - 69) + (1 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + k + 1. Let j(g) = 8*g**3 - 6*g**2 - 5*g - 2. Suppose 0 = -3*c + 3*q + 9, 113*c - 2*q - 10 = 115*c. What is c*j(o) - 6*p(o)?\nAnswer: -2*o**3 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/((-4)\/10). Let p(g) = -2. Let m(j) = -2*j**2 - 9. Let q(y) = m(y) - 4*p(y). Give q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 48*l - 5. Let j(f) = f**2 - 2*f - 1. Give -3*j(c) + u(c).\nAnswer: -2*c**2 + 54*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2849725 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5741 + -5738. Solve 8*h = -9*h - k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and -67\/2338.\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**30*s\/(s**36\/s))\/(s**(3\/5))**(18\/5) assuming s is positive.\nAnswer: s**(-154\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98 * -159.\nAnswer: -15582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2437 - -273. Calculate the common denominator of (-4)\/(-56)*4 + m\/(-168) and -97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 164*w + 818. Let y be b(-5). What is the fourth biggest value in 3, 2, y, 13, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581653*b - 961704*b - 878892*b.\nAnswer: -1258943*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 1504 + 2456. Calculate the remainder when 589 is divided by j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -49, -75, -103?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 + 24 = 0. Calculate the remainder when (-2)\/(((-9)\/w)\/3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 - 63 = -24*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.056323 to 1 decimal place.\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 47 (b) -2\/9 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148078 + 6*i**3 - 592343 + 148087 + 148088 + 148090.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 2164. Let r(a) = 2*a. Calculate r(j(l)).\nAnswer: 2*l + 4328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 327*r**3 + 306*r**2 + 1944*r = 0. What is r?\nAnswer: -2, 0, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14 = 5*v - 12, -4*d = -v - 4. Suppose -5*j - 10 = -0. Let i(h) = -h**2 + h + 2. Let k be i(-2). Sort k, j, v.\nAnswer: k, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+337202540164\nAnswer: 337202540164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 6*m**7\/35 + 11*m**6\/30 - 502*m**5\/15 + 592*m**4\/3 + 192*m**3 - 2*m**2 + 140. Find l, given that t(l) = 0.\nAnswer: -9, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 31*m - 12. Let v(t) = 2*t**2 - 11*t + 12. Let n be v(6). List the prime factors of u(n).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w**2 + 9*w + 24. Let n(q) = -14*q**2 - 9*q - 23. Let x(a) = 4*n(a) + 6*v(a). Let d be x(-16). Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 18*y**3 - 26*y**3 - 23 - 17*y**3 to l + q*y + r*y**2 + x*y**3 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2649702 and -91\/418?\nAnswer: 2649702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-20))\/(-6))\/(6\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.7, -0.0414, -2\/5, -2, -0.1 in decreasing order.\nAnswer: -0.0414, -0.1, -2\/5, -2, -23.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6012 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - -40553?\nAnswer: 40314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5279327 to two dps.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18752 + 2 - (-1 + 13 + -1)?\nAnswer: 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, -1, -0.1, 3\/5, 6\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - 0.00752.\nAnswer: -85.00752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378030 is divided by 189006.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.04, -444\/5 in descending order.\nAnswer: 3\/8, 0.04, -444\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6962 = 2*f + 3*f - 3*s, f = 4*s + 1389. Suppose -5*v + 4*k = 2*k - 2340, -f = -3*v - k. List the prime factors of v.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, p: 5, u: 1, x: 1}. Give prob of picking 1 u, 1 p, and 1 e.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.20000092. Round o to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v)\/v*v\/(v*v**(-3\/7)*v)*v\/v**(-1)*v**(-3\/2)*(v\/(v**2*v)*v\/(v\/(v*v\/((v\/(v\/((v*v**(-2\/11)*v)\/v))*v*v)\/v)*v*v)))**19 assuming v is positive.\nAnswer: v**(1137\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let j(n) = 2*n - 5. Let r be j(4). Put 4, z, r in decreasing order.\nAnswer: 4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 102 = -5*y, y + 2*y = d - 92. Let x = 126 - d. Let c = x - 5. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -156. What is the third derivative of 3*w**2 + p*w**6 - 16*w**2 + 858 - 856 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = -5. Let y = i - 55. Let x = y + 401\/7. Which is the nearest to -0.1? (a) -3 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -77 + (8 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*u - 15, 108 = 2*f - 6*f - 95*u - 584 - 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*10\/(-3). Suppose -3*k - 59 = 5*h, -o*k = -6 + 21. Let j be 2\/(-5) + (-44)\/h. Which is the third smallest value? (a) j (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14137 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1702 or 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-28))\/(16\/(-3136)*-28).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 5, 1\/8, -505?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 12. Let f = 9 - 11. What is the smallest value in b, 0.5, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - 5*z - 25, 0 = -3*l + 2*z + 14. Solve -2 - l = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8179, 8193, 8217, 8257, 8319, 8409, 8533?\nAnswer: 8697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/36 + (-4)\/(-18). Let b be j + (-44)\/12*-1. Suppose -4*z = 16, -5*i + 40 = -0*i - 5*z. Which is bigger: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86197403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060065.\nAnswer: 3, 5, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 6*b)*(2 + 338*b - 161*b - 175*b).\nAnswer: 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 187084543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/8 + (-9)\/12. Suppose -b*h = -0*h - 120. Suppose 0 = -3*t + 9, 4*q - t + h = 1. Let o(r) = r**2 + 7*r - 1. What is o(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.260996 + 1.12084. Let h = 0.86 - a. What is h rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24878016 is divided by 74?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61036 is divided by 2047?\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782, -1370, -1814, -2114, -2270, -2282, -2150?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 4. Give v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2456 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*a - 2*f = 10, 7 = -a - 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14 + 1 + 7 + -10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:13 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 26. Let w be q(8). Suppose -3*v + v + w*l = -450, 0 = -4*v - l + 895. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26556, -53073, -79590, -106107?\nAnswer: -132624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(325)*1 + 0)**2.\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 22 - 37 = 3*o, -4*o = -0*o - 5*i - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -51*t + 15. Suppose 0*w + 5*v = -5*w + 30, -4*w = 3*v - 22. Let h(o) = -13*o + 4. Calculate w*n(z) - 15*h(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5147448 divided by 14.\nAnswer: 2573724\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -5 + 13 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19229.\nAnswer: 7, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -36. Let b = 74 - r. What is the lowest common multiple of 4\/14 - (-96)\/7 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b - 6*b + 3*b)*(2*b - 3*b + 2*b) + b**2 + b**2 + 0*b**2 + (-15*b + 15*b + 14*b**2)*(2 - 1 + 3) as f*b**2 + q + m*b and give f.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/36*4*11\/16*(-648)\/2376?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36562 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by -38237?\nAnswer: 67\/38237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 10*y)*(31 + 81 + 196).\nAnswer: 1848*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -2154?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/4 (b) -1 (c) -9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.591923 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 537533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 45*r + 5. Let n(q) = -22*q - 2. Let l(v) = 2*a(v) + 5*n(v). Let u(h) = -2*h. Give l(u(k)).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(500) + 0)*5 + -5*(sqrt(45)\/(sqrt(9) - ((sqrt(81)*1 - sqrt(81) - sqrt(81)) + sqrt(81) + sqrt(81))))**2.\nAnswer: -25\/4 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13418 = -52*c + 54*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -28*g + 39. Let f(d) = 8*d. What is f(j(n))?\nAnswer: -224*n + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8805, -8786, -8767, -8748?\n\"Answer: 19*n - 8824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 9786?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 11*r - 39. Let m(c) = -4*c**2 - r*c + 2 - c**2 + 6*c**2. What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w - 110*w - 185 = 295 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -111*g - 3715. Give y(-34).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -358.9 - -359. Suppose 3 = -u - 0. Which is the closest to w? (a) 0.9 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-21)*33*117\/(-3861)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/(-8))*(-4 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 16772412294?\nAnswer: -16772412298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108792795935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v**2 + 90*v + 91. Give o(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2839.949 - -2830. Let q = 10 + i. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4372*f**2 - 91812*f - 2. Give u(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 42 = 2*t. What is the remainder when 103 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 + 5. Let x be (-1096)\/216 + 4\/54. Let j(v) = -5*v**3 + 6. Give x*j(s) + 6*y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123\/8 - -377\/24. Let w = 1 - -2. What is the nearest to 1 in w, -2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -11 - (-11 - -21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 8*w + 5. Let i be v(4). Let n be (-18)\/(-5) - i\/35. Let a = -55 - -57. Solve -n*f + a*u + 2 = 0, -6*u + 10 = -u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1437791, -2875591, -4313391, -5751191?\nAnswer: -7188991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let s be (56\/(-35))\/(g\/(-10)). What is the units digit of (28\/8)\/(2\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*q = -202*q + 17157 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*k + 3980 - 884 = -4*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 617 and 615 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**29*(i*i**(-1))**(-2\/29))**(-4\/3) assuming i is positive.\nAnswer: i**(232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**3 - 1. Suppose 3*i - 6 + 51 = 0. Let l be (-6)\/i - 6\/(-10). Determine y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 5) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 554, 496, 430, 350, 250?\n\"Answer: -z**3 + 2*z**2 - 57*z + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1103 = i, 3*h = 6*h + 3*i - 669. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(1\/2)))**(-3\/4))**(9\/8))**(2\/39) assuming n is positive.\nAnswer: n**(-9\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/6*(-14)\/3. Suppose 2800 = v*y - 154. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9128 divided by 2282.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/9 + 181*s**2\/9 + 79*s + 59 = 0. Calculate s.\nAnswer: -177, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2364955, 2364913, 2364797, 2364571, 2364199?\nAnswer: 2363645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0*q*q**(2\/13))**(-1) assuming q is positive.\nAnswer: q**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 11 = t + 2, -3*t + 2*b = 12. What are the prime factors of (-2 - t)\/(-4) - -504?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11cd (base 16) to base 15\nAnswer: -153c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14) - (-120)\/(-105)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 36*o - 6 = 3*s, -3*s = -4*o + 6. Put o, -10, -2, -5 in descending order.\nAnswer: o, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y)**(-6\/25)*(y**5\/y)\/(y*y**2) assuming y is positive.\nAnswer: y**(121\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 22*f**2 - 14*f - 18. Calculate the remainder when q(19) is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 6*n - 2*n + 0*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-12 + 3)) + 4. Let y = -9 + i. Solve 3*o - 8*o - 10 = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n\/(((n\/(n**(-9)*n*n))\/n)\/n)))\/(n**(1\/4))**(-30) assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348163 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(15\/3))\/(5\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 97510*c - 26 - 195033*c + 97514*c. Give g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170724441 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (-6 - 0) + -2 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6854 + -6749. Let x be (-118)\/(-8) - (-2)\/8. Calculate the highest common factor of x and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14379 * -2.2.\nAnswer: 31633.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.21 (c) 2\/5 (d) 0.06 (e) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -61\/25, 2\/11, 3, 4\/3, -3, -0.008?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*m + 24 + 24, 0 = m - 4*b - 16. Suppose 3*y = y + m. Solve -12 = 4*l + 5*k + y, 2*l + 5*k = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/4 + u**3\/3 + u**2\/2 - u - 115. Let m(k) = -4*k**3 + 6*k**2 + 8*k - 5. What is m(b) - 5*z(b)?\nAnswer: b**3 + b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -1 - -56 - (6 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-64))\/((-1)\/(-3)))\/(-2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 74, 88, 122, 182, 274?\n\"Answer: f**3 + f**2 - 10*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t + t)*(-2*t**2 + 2 - 2) + 3*t - 4*t - t**3 + 2*t + 2*t**2.\nAnswer: -13*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + y + 11*y - 66 + 66 + (1 - 1 + y)*(-9 + 0 + 1) + y - y - y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from ieaaaeaemaiaqa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111.58 - 111.69. What is the second biggest value in g, -22, -5, 4, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 + -4 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182646 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/3323?\nAnswer: -20\/3323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 8*u + 855 - 958 to the form m*u + x and give x.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3764 + -3622.45. Let b = -136 + y. Round b to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*v**4 + 4*k**2*v**3 - k**2*v**2 - 28*k**2*v + 551*k*v**3 - 693*k*v wrt v.\nAnswer: -24*k**2*v + 24*k**2 + 3306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34920?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 2534?\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9777, 0, -2, -3, 4, -4 in ascending order.\nAnswer: -9777, -4, -3, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 - 1843\/4. Let f(i) be the first derivative of 11 + 10*i + 0*i**3 + 0*i**2 - r*i**4. Differentiate f(n) wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 3*h - 13. Let t be x(-8). Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.2 (b) -3 (c) -5 (d) -172 (e) -19\/6 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2. Let v(s) = -165*s. Determine v(o(n)).\nAnswer: 330*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**5 + 100*c**4 + 660*c**3 + 1790*c**2 + 1975*c + 750 = 0?\nAnswer: -10, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -32. Let x = -0.9 + -0.1. Which is the closest to -1? (a) x (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543 divided by -33?\nAnswer: -2543\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -18. Which is the second smallest value? (a) t (b) 7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 5 - 5)*(-3*x**2 + x**2 - 8 + 5) + 4 - 2*x**3 - 4)*(-6*x - 3*x + 3*x)*(2 - 3 + 2).\nAnswer: -12*x**4 - 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 - 0.4. Let r = -35 + 69.2. Let y = 34 - r. What is the third smallest value in -1\/6, c, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1435910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r + 2*r)*(-7*r**3 - 7*r**3 + 5*r**3).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010010 + 1001111110010?\nAnswer: 1001000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.057 - 5?\nAnswer: -9.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94002111803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*f - 8. Let l = -752 + 750. Let i(r) = 2*r + 13. Let t be i(-7). Put l, t, 5, f in ascending order.\nAnswer: l, t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 - 8623378*j**2\/9 + 9295205976118*j\/9 + 269568225617098\/9.\nAnswer: 2*(j - 2155859)**2*(j + 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*n - 873 = -865, -12 = 5*q + 3*n. Solve -5*y = -2*m - 6 - q, 12 = -4*m - 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.11 (b) -0.03 (c) 2\/15 (d) 0.4 (e) 0.0537\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -0.02. Let x = 0.93 - l. Is -7 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -59305 - c - 2*c + 59306. Suppose -3*f = 3*l + 48, 2*f + 5*l + 32 = l. Let j = 27 + f. Let n(a) = -15*a + 6. Give j*y(r) - 2*n(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32. Let c(y) = 2 - 42*y + 44*y + o. Let h(t) = -t**3 + t**2 - 9*t - 9. What is -9*c(u) - 2*h(u)?\nAnswer: 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11024 and 6457308.\nAnswer: 25829232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 24*p = -8*p + 1959 + 1662 for p.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23\/3 + 7\/3. Let x = o + 11\/2. Let s = 3 - 3.2. What is the third smallest value in s, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105 - 114 - 141)*(0*j + 7*j**3 + 0*j) to u + i*j**3 + v*j + s*j**2 and give i.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 = 68*l - 234 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*l**3 + 2076*l**2 + 41*l**3 + 437*l**3 - 2076*l**2.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/17 (c) -0.4 (d) 0.1 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/15318 + 2604121\/934398. Is 2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 + 5*i**2 + 0*i**2)*(-5*i + 0*i + 3*i) to the form b + x*i + n*i**3 + r*i**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 + -3 + 3) - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -6, 44, 130, 258, 434?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -261703*x**2. Let n(u) = u + 21. Give n(l(m)).\nAnswer: -261703*m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, q: 9, r: 2}. Give prob of picking 1 r and 2 q.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != -37.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 703 = -2*a - 708, 2*t - 20 = -a for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/((-2548)\/(-147))*10*(-2)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 - p - 2. Let x(w) = -4436*w**3 + 5*w**2 + 5*w + 756. Let f(z) = 5*c(z) + x(z). What is the derivative of f(u) wrt u?\nAnswer: -13293*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let h = p + 3. Let a(z) = -22*z + 66. Let v be a(3). Put v, h, 3 in descending order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 129, 96, -57, -330?\n\"Answer: -60*n**2 + 267*n - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3203344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1167603, 1167863, 1168123, 1168383, 1168643, 1168903?\nAnswer: 1169163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -45?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 49. Let n be c(-1). Suppose -n*r + 29292 = -47463. What are the prime factors of r?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 369?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 - -116261\/336. Let x(o) be the third derivative of 0*o**4 + 0*o**7 + 0*o**5 - 1\/24*o**6 + 0*o**3 + 0*o + g*o**8 + 0 - 8*o**2. Factor x(c).\nAnswer: 5*c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*o = -2*a + 595*o + 6, 0 = a + 4*o + 1 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 852, 1856, 3246, 5022, 7184?\nAnswer: 9732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((9 - 14)\/((-220)\/8))\/((-8)\/(-20))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let x be (-141)\/235*5\/(-2). Let u(b) be the first derivative of 0*b - 3 - x*b**2. What is w(u(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1239?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41974 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2727 and 19440783.\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 + 1de37?\nAnswer: 1ddb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 524 - 524.2948. Round j to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -488\/5, 16\/11, 232\/19, -1\/3?\nAnswer: -488\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 - 85*m**3 + m + 61 wrt m?\nAnswer: 12*m**2 - 510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/7 - 16420755*x\/7 - 16420756\/7 = 0. What is x?\nAnswer: -1, 16420756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -8, 3, -2233 in descending order.\nAnswer: 3, -8, -13, -2233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 5, h: 2, c: 9}. What is prob of sequence vkhc?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.341232ug to kilograms.\nAnswer: 0.000000002341232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 11*m + 17. Give p(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -2735.\nAnswer: -117\/2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -92, -97, -104, -113, -124, -137?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342372 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 16. Solve 5*i = -v*r + 14, i = -2*r - 0*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g*g**(2\/3)\/g)\/g))*g*g**5*g**(2\/15)\/g**(1\/2))**(2\/75) assuming g is positive.\nAnswer: g**(21\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10 - 21 - 13*b + 13*b - 8*b**2. Let t(f) be the first derivative of -f**3 - 4*f + 2. Calculate -6*o(u) + 17*t(u).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/1298 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -557221, -1114350, -1671479, -2228608, -2785737, -3342866?\n\"Answer: -557129*a - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {s: 6, y: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 1, a: 3, d: 3}. Give prob of sequence al.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-6) - (-30)\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6972612 by 9644.\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2027 by -1.\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*y**2 - 243*y**3 + 202*y**2 - 196*y**3 + 125*y**3 - 84*y**3.\nAnswer: -398*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065287.\nAnswer: 3, 7, 98347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from {m: 4, t: 1, g: 6, r: 6}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - (sqrt(1700) - (sqrt(1700)*1)**2))) + -5 - (sqrt(68)\/sqrt(4)*2 + 1)**2.\nAnswer: -1774 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Is (-1)\/((y + 1)\/212) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*t + 18 = 0, -113 = 5*g - 5*t - 148 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1188)*-2)\/(sqrt(99) + -2*(sqrt(99) - sqrt(99)*3 - sqrt(99))))**2.\nAnswer: 1728\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3 + 0 - 5)*(2 - 2 + 2*a**2).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2033 and 19367?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*28\/8*-1. Suppose l*i - 2*i = 20. Suppose -i*s = -t + 13, 2*t - 3*s + 1 = 37. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 6. Suppose 4*f - 21 = z, -21*z + 17*z = f - 1. Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2995, 5997, 8993, 11977, 14943, 17885, 20797, 23673?\n\"Answer: -i**3 + 3*i**2 + 3000*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400330 rounded to the nearest 10000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/924*11\/(-2)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2920, -2917, -2914, -2911?\nAnswer: -2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.041 * 35.99.\nAnswer: 289.39559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2571784*0.09.\nAnswer: 0.023146056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 1431. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154528 divided by 439.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -582456*q**3 - 2*q + 637960.\nAnswer: -3494736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 31*i**2 - 2795*i + 90534. What is n(32)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10669 and 185?\nAnswer: 10854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16711 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(0 - 4) + 2*-1. Solve 3*b + d*w = 4*w - 19, 5*b = 3*w - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-8)\/9)*31040\/58200\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or 498?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/343*14\/(-2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 + 6*f + 1. Let b = 366 - 345. Suppose b*l = -68 - 16. Let d(o) = -2*o**2 + 5*o + 1. Determine l*d(c) + 3*j(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/5)*j))\/((j**(2\/11)*j)\/j)*(j*j\/j**7)\/j*j**7\/j*j*(j\/j**(2\/3))**(-15\/8)*((j*j*j**7*j)\/j)\/j**(-6) assuming j is positive.\nAnswer: j**(6861\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/(-166) - 21*28\/24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15320 + 61388 = 1508*y - 55996 for y.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((16\/40)\/((-8)\/90))\/(9\/(-1212)). Calculate the highest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/12 + s**2. Let u(v) = -2*v + 3 - 2 - 1. Let l(a) = -4*a. Let y(o) = 3*l(o) - 7*u(o). Determine m(y(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 3*v + 3. Let f be m(2). Let y = 14 + -11. Sort f, y, 4 in increasing order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -27 - (-7 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 129*m + 1417. Give c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = -4*i, 5*d - 2 = -2*i - 14. Is -15\/22 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72259 (base 10) to base 2.\nAnswer: -10001101001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126412 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 665251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:40 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53568 in 0.2, -0.2, -1.1, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d - 18. Let r(l) = -l**2 - 9*l - 6. What is the tens digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let n(x) = -153209972*x**2. Calculate g(n(j)).\nAnswer: 46946591040481568*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 22*a**2 + 23*a - 53. What is l(21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 264845384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:34 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 90*d**2. Let f(m) be the first derivative of 2*m**3\/3 + 1941. Give f(o(c)).\nAnswer: 16200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = 12*u - 3*u + 10*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663463 is divided by 94770.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 - 4*y - 21. Calculate l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -259, -280, -299, -322, -355, -404, -475?\n\"Answer: -y**3 + 7*y**2 - 35*y - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Suppose w - 71 + 71 = 0. Let b(a) be the first derivative of -4 + w*a + 5\/2*a**2. Calculate v(b(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -2, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 17644.\nAnswer: 158796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791 + 797 - (-53 + (8 + -3 - 2) + 2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n. Let c(i) = -7*i + 2. Let y be c(-4). Let u be (-12)\/y + 24\/10. Let t(b) = -2*b**2 + 28 - b**u - 28. Determine f(t(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -414810000 to the nearest 1000000.\nAnswer: -415000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1122 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 3325?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) -0.5 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.75 - 7.18. Let g = -252 + 255. Which is the third biggest value? (a) 5 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4)\/(5\/6*3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70)*-3 + sqrt(70)))*-3))\/(-3*sqrt(10)*3))**2 + -1.\nAnswer: -1775\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 735 + -731. Let n = -1 + -8. Let r = n - -9. Solve r*a + t = -2*a - 8, -2*a = -s*t + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 130*r + 254. Let z be c(-2). Solve 10 = 2*d - 3*j, -10*d + 11*d - z*j - 7 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -12 - (27 + (-52 - -26))) + 48?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, z: 2, k: 3, m: 3, f: 2}. Give prob of sequence fkz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*((1*sqrt(1331) + 3)**2 - 4*(1 + sqrt(1331))**2).\nAnswer: 110*sqrt(11) + 19940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2*p**2 + 0*p**2. Let w(i) be the second derivative of i**5\/60 + 3*i**2\/2 + 5*i. Let k(s) be the first derivative of w(s). Determine k(v(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 206753 = g, g - 2 = 1. Let m = -23547 + f. Suppose -j + 8897 = t, j = 2*t - 0*t - m. Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * -6295.\nAnswer: 15108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 126. Suppose 4*f - 5*c = -7*c + 112, -5*c = -4*f + 70. Give v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(-497*k**3 - 907*k**2 + 907*k**2) to l*k**2 + r*k**3 + g + o*k and give r.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k = -46*k + 225 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3491419 divided by -32?\nAnswer: 3491419\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 1 + 3*y**2 + 31176*y + y**2.\nAnswer: y**2 + 31176*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 6:34 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5922 times -100.83\nAnswer: -597115.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 2*q - 4. Let b(l) = 2*l**2 - 5. Let w(d) = 3*b(d) - 3*c(d). Determine f, given that w(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -117*l**2 - 2659*l + 162. Calculate j(-23).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 6*y**2 - y + 3. Let b(x) = -x - 6. Let m be b(5). Let c = m - -20. Calculate the smallest common multiple of z(-6) and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*q + 5*q - 2745, -5*n + 2700 = -4*q. What is the remainder when (n\/(-4))\/(-4) - 0 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c - 14. Calculate the least common multiple of 42 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 165*y**2 - 1751*y + 65. Calculate v(175).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 3*q**2 + 2. Let b be o(3). Suppose -b*n - n = -36. Calculate the greatest common factor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1535, 5629, 12461, 22031, 34339, 49385, 67169?\n\"Answer: 1369*d**2 - 13*d + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*v - 1405*v + 2*v**2 + 711*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 68 = 27*y - 30*y, -5*y + 3*d + 126 = 0. Solve -4*z = z - 20, y = w + 5*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**3 + 4. Let r be 0 - 4\/(-4) - -2. Suppose -x + 21 = 3*b, -x - 11 + 4 = -b. Let i(f) = 11*f**3 + 3 + b - r. What is 4*i(q) - 7*l(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10*949\/(-26) and -33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 5, x: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**6\/3 + 2*b**5\/5 - 13*b**4\/2 - 50*b**3\/3 - 12*b**2 - 4028. Let a(m) = 0. Calculate m.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.074 < 27\/4765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28809, -28512, -28215, -27918, -27621, -27324?\nAnswer: -27027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 5 - (-10 - -14). Suppose n = -6*i + 7. Let a(l) = -9*l + i + 9*l - l**2. What is a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*l - 4 = 0, 338*l - 337*l + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 17, m: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538656693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**4*u - 53*r**4 - 2*r**2 + 94*u + 3 wrt r.\nAnswer: 12*r**3*u - 212*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16848 and 32877?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -220 = -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 11 + (-46 - -51).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 1344495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3271869 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-18) + ((-72)\/24 - 3\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6098597783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 4.09. Which is the biggest value? (a) -5 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2211 - 2207. Solve -5*s - 10 = a, -a + 3*s = -2*a - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let j(d) = 5*d + 1. Let f(i) = j(i) - 6*x(i). Let r(k) = 2*k - 13. Let t(z) = -2*z**2 - 19*z - 31. Let l be t(-6). Determine l*f(w) + 6*r(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*s + 2*a + 14, 5*s - 5 = -3*a. Suppose 0 = -2*p - h + 73, -2*h - 230 + 72 = -s*p. What is the remainder when 150 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-14)\/4522*-19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3. Let f(n) = -n**3 - 50*n. What is -f(t) + 2*m(t)?\nAnswer: -t**3 + 50*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888310.\nAnswer: 2, 5, 211, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h**2 - 757 - 3*h**2 + 5*h**2 + 1526 - 750. Let l(g) = -5*g + 5*g - g + 3*g. Determine l(o(j)).\nAnswer: 4*j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-350)\/(-1050)*2\/(-5) + (-244)\/(-30). Let i(f) = 5*f**2 - 39*f. Let g(y) = 14*y**2 - 117*y. Determine a*i(q) - 3*g(q).\nAnswer: -2*q**2 + 39*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let f(u) = 12105602*u. Determine q(f(m)).\nAnswer: -24211204*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 4. Let j(p) = 4*p**3 + 5*p**2 + 6 - u*p + 0*p**3 - 2 - 3*p**3. Calculate j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 202, 52.\nAnswer: 31, 52, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 374886440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 7*j - 8*j**2)*(1 + 3*j - 1) + (-3*j**2 - 5*j**2 + 4*j**2)*(0 + 0 + 3*j).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.978 + 0.022. What is the closest to k in 0.4, 1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -116*q**3 - 3*q**2 + q - 87. Let n(o) = 232*o**3 + 5*o**2 - o + 172. Let i(m) = -7*d(m) - 4*n(m). What is the second derivative of i(b) wrt b?\nAnswer: -696*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, -38, -1\/7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149578447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4*-95*-4. Suppose 0 = -p - 4*m + 45, 0 = -3*p - 3*m + w - 5. Let l be 36\/1*300\/48. What is the highest common factor of l and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g - 661 = -115*g - 61 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-27)*45 - 1\/(5\/25).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*z, 3*z + 8 = 4*k - 2*k. Factor 7 - 7*g + g**2 + 13 - 12 + k.\nAnswer: (g - 4)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1931, 3841, 5725, 7583, 9415, 11221?\n\"Answer: -13*p**2 + 1949*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 3*s**2 + (-5*s + 0*s + 3*s)*(s - 1 + 1))*(4 + 8 - 3)*((2 - 2 + 3)*(0 + 1 - 4) + 2 - 1 - 2).\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-7)\/6)*(-35)\/105?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -352*k**2 - 65*k - 101. What is f(-3)?\nAnswer: -3074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -224284 divided by -224284\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201450 rounded to the nearest ten thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*p + 18, y = -y + 4*p + 10. Suppose 0 = -4*n - 0*n - 24. What is the remainder when 5\/(-15) + (-74)\/n is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from lsucklkccucdkcksc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 1, x: 10, e: 2}. Give prob of sequence ex.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, -18, -538, -29 in ascending order.\nAnswer: -538, -32, -29, -18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10210\/7 - 1456. Find n, given that -u - n + 1\/7*n**2 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s**2 + 37*s**2 - 20*s**2 + 14 - 3 - s in the form z + v*s**2 + q*s and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1353.78211855179?\nAnswer: -1353.78211855179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2. Let l(b) be the first derivative of -b**4 + 5*b**3\/3 + 4*b - 562. What is -l(s) - 5*y(s)?\nAnswer: -s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024963 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**5\/140 + 11*h**4\/28 - 4*h**3\/7 - 30*h**2\/7 + 105*h. Let s(o) = 0. Calculate o.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 u when four letters picked without replacement from ymyuyyyymmmmyymmmyym?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -2028236?\nAnswer: 2028236.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233 (base 14) in base 9?\nAnswer: 25158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 145*v**3 + 1080*v**2 - 8020*v + 6800 = 0. Calculate v.\nAnswer: -10, 1, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/19936 and -31\/189392.\nAnswer: 378784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -34. Which is the third biggest value? (a) m (b) 2\/25 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -23*l**6\/60 + l**5\/20 + l**4\/12 + 27*l**2\/2 + 14*l. Let a(r) be the first derivative of t(r). Does 13 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j + 24. Let f be a(-4). Suppose 14 + 25 = 3*h. Suppose 2*z - 3 = -4*w - h, 0 = -3*z + 4*w - 25. Sort z, 4, f in decreasing order.\nAnswer: 4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 s when four letters picked without replacement from {s: 6, a: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 1. Let s(o) = o - 1. Let g(v) = n(v) - 6*s(v). Let d be g(-7). Suppose 2*p + 0*p - 72 = d. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-39)\/(-195))\/(66\/(-10)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 27*c**2 - 51*c - 25.\nAnswer: -(c + 1)**2*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/6*i**3 + 0 + 7\/24*i**4 + 0*i - 12*i**2. Let j be 1*3*(-5)\/15. What is t(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/(sqrt(2) - -1*sqrt(162)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 58 - 23 - 214*a**2 + 2*a + 2*a as r + k*a + p*a**2 and give p.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 8*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/7 + 8912*s**3\/7 - 946368*s**2 + 235326784*s - 466878272.\nAnswer: -4*(s - 742)**3*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 7*p - 4*p + (21 + 29 + 2*p + 0)*(-1 - 3 + 1) to the form a + v*p and give a.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2403693\/145 - -16577. What is the third biggest value in 2, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 - 1934?\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 + 119. Let s = o + 68.7. What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 56\/(-10) + (-20 - -20). Let x = q + 149\/40. Which is the third biggest value? (a) -5 (b) x (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -1\/45*l**6 + 18*l + 0*l**2 + 0 + 0*l**3 + 0*l**4 + 0*l**5. Determine d, given that r(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*l + 3*l = 199, p - 53 = -l. Calculate the greatest common factor of 638 and p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 12*c + 9. Give o(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 104*b + 122*b + 432*b. Let r(j) = -3*j**2. Give i(r(h)).\nAnswer: -1974*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1aad + -4?\nAnswer: b1aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 149, 217, 285, 353, 421?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 25 = 163. Let m = -31 + t. Suppose m = 2*v + 3*z - 4*z, -3*z = 9. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23854, 23793, 23634, 23329, 22830, 22089, 21058, 19689?\n\"Answer: -8*d**3 - d**2 - 2*d + 23865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121322010 (base 5) to base 3.\nAnswer: -1002010112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let o(q) be the first derivative of 0*q + 16 + 0*q**2 + 10\/3*q**3. Determine h(o(l)).\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 = -4*f + 621 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2. Let d(t) = 23 + 2 + 2*t + 0 + 3 - 3*t. Give d(a(u)).\nAnswer: -4*u**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 - 273 + 532 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 266471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -2 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + q + 5 = 4*c, 4*q - 3*c + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 715754*0.3\nAnswer: 214726.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6745 or -6752?\nAnswer: -6745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3892, 25970, 62822, 114454, 180872?\n\"Answer: a**3 + 7381*a**2 - 72*a - 3418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(405) + -5 + 3 + sqrt(405).\nAnswer: -7 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10165 less than -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/2))\/c)**48)**(-43)*(((c\/(c\/c**4*c*c)*c*c)\/c)\/c*(c\/(c*c\/(c\/c**(1\/9)*c*c)*c))\/c)**(3\/4) assuming c is positive.\nAnswer: c**(12401\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66773248043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*l**3 - k**3*n + 36842*k*l**3*n + k*l**3 + 81354*k - 2*l**2*n wrt n?\nAnswer: -k**3 + 36842*k*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*s - 9, 3*i + 3*s - 9 = 4*i. Solve -4 = 4*a, u - 3*a + 7*a + 9 = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from hwhxhxxxx?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84208480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -292.3 - -183.5. What is k rounded to 0 dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/8417 + 8367\/42085. Suppose -t - 4 = -3*t. Find f such that 0 + q*f**t - 1\/5*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -830 and -830 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilcilgilllgli. Give prob of sequence ggl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/36)\/(1\/2).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 10*m**2 - 10*m - 1. Let g be p(-10). Suppose -2*l - 2*l + g = 3*z, -63 = -2*l + 3*z. Solve 2*r = 7*r + 3*f - l, 26 = 2*r + 5*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43807 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 0*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 910593905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 2*y - j - 65472, -3*j + 163636 = 5*y. List the prime factors of y.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.25 in -20, 0.01, -6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.04, -12\/17, -0.7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -83\/4 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 10e263?\nAnswer: 10e26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 649, -38, -1039 in descending order.\nAnswer: 649, -38, -1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 167. Suppose 21 + 35 = 2*r. Solve -91*u**2 + 5*u**4 + 40*u + 151*u**2 + r*u**z + 2*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 - (-8 - -6). Suppose 2*p - 50 - 48 = j. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 1082*j\/7.\nAnswer: -j*(j - 1082)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, k: 7}. What is prob of picking 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 5736?\nAnswer: -572c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -840.44.\nAnswer: 839.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by -21761.\nAnswer: 63\/21761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 3*w**2 + 3*w - 1. Let d be ((-2)\/(-6))\/(2\/36*-2). Determine c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 12:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11241 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 2. Let f be p(0). Solve -2*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13032339 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Suppose -b*w + 20 = w. Solve -4*a - o = -0*a - w, 0 = -3*a - 5*o + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 - 9 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 0 + 4 + 6 - 10.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 0.0895123453?\nAnswer: 4.9104876547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2723484 (base 12) to base 13.\nAnswer: 17b97a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8*(-3 + (-75)\/(-27)). Suppose 128*n = 125*n - 18. Which is the nearest to 1? (a) r (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -38 + -1 - (-195)\/65. Put i, -3, 4 in increasing order.\nAnswer: i, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 3, o: 4, y: 8}. What is prob of picking 1 t and 2 y?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 25. Let h(g) be the third derivative of -7*g**4\/12 - 37*g**3\/3 + 3299*g**2. Calculate 4*h(b) + 11*t(b).\nAnswer: -b - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21425671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8204.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12303, -12246, -12187, -12126, -12063, -11998, -11931?\nAnswer: -11862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 3*k**3 - 4*k + (0*k**2 + 10*k**2 + 2*k**2)*(4*k - k - 5*k)*(5 - 1 - 1).\nAnswer: -69*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -60*l - 5. Let r(y) = y + 1. Suppose 0 = 2*o + 19*h - 23*h - 20, 0 = -4*h - 28. What is o*r(i) - f(i)?\nAnswer: 56*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-45) - (-1)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3653 or -3654?\nAnswer: -3653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbmvqg. What is prob of sequence jg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673811 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110101101 - 101?\nAnswer: 1011110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(891).\nAnswer: 4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1860 and 1860.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:18 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6811, -12684, -18575, -24490, -30435, -36416, -42439?\n\"Answer: -s**3 - 3*s**2 - 5857*s - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 6. Let x(h) = -h - 6. Let f be x(s). Solve f*t + 10 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2882935 divided by 1\nAnswer: 2882935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 52*a + 48*a - 20, 0 = b - 5*a - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3325? (a) 5.25 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1\/3*b**5 - 13\/3*b**3 + 21*b**2 + 0*b**4 + 0*b + 0. What is the first derivative of n(i) wrt i?\nAnswer: 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - (-10 + -16 + 13 + 47)) + 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -1\/3, 0.4387?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3533 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 4\/7, 0.5 in decreasing order.\nAnswer: 86, 4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 3\/8 (c) -1.3 (d) 17 (e) 6 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 39*z + 5. Let f(l) = 2*l**2 + 68*l - 11. Let m(q) = -5*c(q) - 3*f(q). Give m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -38\/5. Let a be (-2 + 2)\/(-2 - 0). Solve -c*b**3 + 0*b + a - 1\/5*b**2 - 1\/5*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1034 + 1032. Let g(h) = 5*h**2 + 4. Determine g(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = 0. Suppose y = -2*w + 2 + 16. Calculate the remainder when (125 + -115)*(-5)\/(-2) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.165 times 0.5\nAnswer: 0.0825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 337. What is the remainder when g(8) is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493403.01831 less than 75?\nAnswer: -3493328.01831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1423 = -32*y + 35*y, -4*y = f + 346. Let s = 278 - f. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 6 + (-1 - 3) + (7 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2557, 1306, 5169, 9032, 12895?\n\"Answer: 3863*q - 6420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 616*v**2 - 43976*v - 914112 = 0.\nAnswer: -216, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 4. Suppose -14 = -2*n - 6. Let l(c) = 2*c + 4. Let s(q) = n*l(q) + 3*h(q). Calculate s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.989 + -51. Let v = 0.001 + f. What is the nearest to v in -1, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.75 - -3.7. Which is the nearest to -2\/9? (a) -3\/4 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 2*c**2 + 6*c + 30. Let y(i) = i + 8*i**2 + 2*i**2 - 1 + 2*i**2. What is the remainder when f(-3) is divided by y(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -76. Suppose 5 = 4*w + 69. Calculate the common denominator of 85\/2 and (x\/(-10))\/(w\/(-5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 0.6 (c) -4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 3, -81, -251, 1 in ascending order.\nAnswer: -251, -81, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -1101122?\nAnswer: 1100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*u**3 - 3335*u**2 + 3380*u - 60 = 0 for u.\nAnswer: 3\/166, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-3)*(-24)\/(-144))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6037\/528 + 126\/11. Let k(s) be the third derivative of 0 + 5\/16*s**4 + 25*s**2 - 35\/24*s**3 + 0*s + n*s**5. Factor k(f).\nAnswer: 5*(f - 1)*(f + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -6, -5209, -2 in decreasing order.\nAnswer: 4, -2, -5, -6, -5209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 78?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4968 = -122*k + 110*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 - 3 + 5*t**2 + t**3 + 4*t - 2*t - 12*t**2. Let s(b) = b**3 - 1. Calculate h(c) - 3*s(c).\nAnswer: -2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - w + 4*w = 18, -16 = -2*l - 2*w. Suppose -l = -2*i + 14. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-3) - 16*1 and ((-142)\/(-10))\/((-282)\/(-235))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e8 - 16bd9e?\nAnswer: -16c086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 96\/7 - 20\/7*r**4 + 184\/7*r + 2\/7*r**5 - 54\/7*r**3 + 8*r**2 = 0.\nAnswer: -2, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -2497506?\nAnswer: 53\/2497506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 17*n**3 - 12*n**3 + 2*n**2 + 24 + 12 - 3*n**3 as j + h*n**3 + d*n**2 + o*n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 19*s**2 - s - 4*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -6*r**4\/11 + 24062*r**3\/11 - 80148*r**2\/11 + 32040*r\/11 + 64112\/11 = 0?\nAnswer: -2\/3, 2, 4007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396078?\nAnswer: 2, 3, 251, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 929, -2, 0, -11, 2, 3, 8.\nAnswer: -11, -2, 0, 2, 3, 8, 929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 11*x - 10. Let i be d(11). Let u = 17 + i. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142702197 and 102003.\nAnswer: 142702197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 13*m**2 + m - 11. Let p be y(13). Sort -3, p, -8, -4 in increasing order.\nAnswer: -8, -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 64 + 61 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 13*h = 240. Let f(r) = -29*r. Let a(m) = -88*m. Give h*f(l) - 3*a(l).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o*o**0*o*o**(-2)\/(((o\/o**(1\/6))\/o)\/o))\/((o\/(o*o\/o**(-1)))**33)**50 assuming o is positive.\nAnswer: o**(19837\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:42 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l - 1920 = 0. Let z = l + 318. Let n = -5 - -2. Is z bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let r(x) = 6300*x. Give r(f(i)).\nAnswer: -6300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 10:18 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 5*m - 5. Calculate the remainder when d(-4) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = z - 0*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.48 and 445676292?\nAnswer: 445676292.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*w + 2*h - 23, 2*w - 3*h - 71 = 0. Suppose 2*u - 4*y = 38, -14 = -u + y + 10. Let j = w - u. Solve -4*l + 0*r = -r + 13, j*l + 8 = 4*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*b - 176 = 222*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 5*b + 38 - 26, 47*b + 147 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-2) + (2 - 5). Find the third derivative of -13*w - 5*w + t*w - 10*w**2 + 14*w**4 wrt w.\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96819 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/5*4\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4 - 44*j**3 + 72*j**2 = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = r - 0*r + 5, -2*r = 3*o - 12. Suppose 4*t = -4*g - 16 - 12, 4*t = -2*g - 12. Let d = o - g. Solve 4*i + d = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2031)\/225 + 1988\/74550\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**3 + 76*a**2 + 81*a. Let m(p) = 142*p**2 + 137*p - 45*p**3 + 26*p + 163*p**2 + 36*p + 126*p. Let d(k) = 25*g(k) - 6*m(k). Factor d(t).\nAnswer: -5*t*(t - 15)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - 22*m - 11. Let r be a(-8). Let x = r - -1979\/7. Do -0.084 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 + 11*c + 44. What is the hundreds digit of v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 14301?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 124 = -n + 38, -29*l - 2*n - 307 = 306 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.083. Let n = -0.450841 + 0.3778552. Let k = p - n. What is k rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**13\/r)\/(r*r**(-7)))\/(r**(-12\/7)\/(r*r*((r*r**(-9)*r)\/r*r)\/r*r*r)))**(1\/61) assuming r is positive.\nAnswer: r**(110\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 4*x + 9. Let d(i) = 4*i + 9. What is -4*d(c) + 3*s(c)?\nAnswer: 3*c**2 - 4*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**20)**(7\/6)\/((q\/(q\/q**21))\/(q\/(q\/(q**(-1\/13)*q)*q))) assuming q is positive.\nAnswer: q**(88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -14*x - 54 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1566719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4, 0 = -4*d - 2*u - 3*u + 6. Solve 4*j + d*b - 8 = 4, 0 = -5*j + 2*b - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:23 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61778102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723392 = o + 589049. Let q = o + 21149027\/16. Let w = q + -9370. What is the common denominator of -53\/20 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(3) + sqrt(55))*1)\/sqrt(11) - -4*((sqrt(80) - (2 + sqrt(80))) + sqrt(80)).\nAnswer: -8 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -113 + 43 + 76\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7 + 4*y - 3*y**2 - y**3 + 5*y - 5*y. Suppose 0 = d - 4*n + 26, 4*d - n + 21 = -8. Is j(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 v when four letters picked without replacement from xqvvqwnqnwsxww.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2\/(-6))\/(-1)). Let r(f) = 3 - z + 3*f. Let q(n) = 152*n - 72*n - 78*n. Determine q(r(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/4)\/k**(-4)*(k**(-1)\/k)**(-30) assuming k is positive.\nAnswer: k**(261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/10)\/g*g**4*g**(-1)\/g*g**(-8))**33)**(6\/17) assuming g is positive.\nAnswer: g**(-5841\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -620, -2451, -5504, -9779, -15276, -21995, -29936?\n\"Answer: -611*l**2 + 2*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoxpooxxrxoxoxoooro. Give prob of sequence rpro.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5476, -5466, -5442, -5404, -5352, -5286?\nAnswer: -5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Solve -4*y + 8 = -c*k, -y + 5*k - 25 = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 45. Suppose -5*l = 3 - s. Solve -l*p + 5*p = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228520 and 827312?\nAnswer: 814902320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 132. Let v be j + 1 + -6 + 5. Solve -i + v*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 times -0.4\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-30)\/105)\/(-1 + (-54)\/(-74)) and 7\/6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -664 (base 11) to base 2.\nAnswer: -1100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frjtcuj. Give prob of sequence tfr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.193396 seconds in minutes?\nAnswer: 0.0365566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:06 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4976, -9946, -14916?\nAnswer: -19886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1314*p**2. Let l(y) = 7*y**2. What is j(l(g))?\nAnswer: -64386*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 190*x**7\/7 + 47*x**3 - 154. Find the third derivative of u(v) wrt v.\nAnswer: 22800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484784473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/8602867 and -11\/11060829.\nAnswer: 77425803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571491 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 864 - 116 = 19*b + 554 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -7 (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*v + 233 - 233)*(204*v + 926*v + 464*v).\nAnswer: -6376*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (5 - (-7)\/(-4)). Suppose 0 = o*a - 7*a + 100. Suppose -g = -9 - a. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1249 - 1501 + 4987 + 5219)*(4*g - 6 + 6) to l*g + h and give l.\nAnswer: 29824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*w = -2100, 5*a + 1113 = -5*w - 997. Let g = a + 432. What is the remainder when 50 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 7*l + 2*l - 10 = 0, c - 6 = l. Suppose h = 2*o - o - 6, 5*h = c*o - 21. Factor -s**2 - 9*s**4 - 4*s**3 - s**5 - 3*s**5 - 6*s**3 + 4*s**o.\nAnswer: -s**2*(s + 1)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 130?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*a - 4560 = -7*a, 0 = -3*p + 4*a - 2739. Let d = -408 - p. What are the prime factors of d?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 6*p + 2541*p**2 - 2497*p**2 + 71 + 5*p as j + d*p**2 + z*p and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-12) + 2\/(-4). Let g = -3.1 - -3.29. Let r = g - -0.01. What is the nearest to i in -3, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425 - 10527 = 47*h - 3141 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 872 in 0, -0.5, 4\/7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (98 - 97)*((-178)\/(-5) + -1). Suppose -2*g - x = -73, 6*g - 3*g + x = 109. Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - u, u = 3*m + 16. Let t(b) = -b - 33. Let v(f) = -17. Give m*v(q) + 2*t(q).\nAnswer: -2*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/228 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 1018140. Let b = 158140 - j. Round b to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i + 89. What is the hundreds digit of y(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-1)\/7 + -1. Which is the third biggest value? (a) o (b) 2\/23 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, 2\/11, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(((sqrt(3) - sqrt(108)) + 4 - -5*sqrt(12))**2 - (sqrt(15)\/sqrt(5)*-2 + sqrt(600)\/sqrt(8))).\nAnswer: -460 - 185*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from iizizzdcizz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005618989 to 6 dps.\nAnswer: 0.005619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 707547467 and 4202?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/403 + 1201\/1612. Let z = 51.31 + -51.26. Which is the nearest to -0.1? (a) z (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(-4 + sqrt(32)*1))**2 - (sqrt(60)\/(-1*sqrt(10)))\/(2*(sqrt(3)*1 + sqrt(3)))).\nAnswer: -1533*sqrt(2)\/2 + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/5 + 580*k - 210250 = 0 for k.\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:19 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 10. Let n be i\/(-1 - -3 - 1). What is the third derivative of 0*p**2 + 0*p**5 - 2*p**n + 2*p**2 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 27\/(-3))\/2. Let b be 1\/f + (-189)\/(-49). Suppose -b*k - k = -5*h - 150, 0 = -3*h. What is the least common multiple of 33 and k?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2 + 34*g + 28. Suppose 4*b - 22 = 2*b. Let z(k) = 3*k**2 + 11*k + 9. Let n(p) = b*z(p) - 4*o(p). List the prime factors of n(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 7\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10 + 15. Let h be ((-13)\/39)\/((-40)\/12 - -3). Suppose -21 = -g*o - h. Solve -o*q = -4 + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -3.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/28)\/((-3)\/(-7)). Suppose 0 + 20 = 4*a. Let z(s) = s - 1. Let c be z(a). What is the closest to 0.1 in 3, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/6)\/((-7)\/777)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 - 18513315*l + 18513312 = 0.\nAnswer: 1, 6171104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 421 + 439. What is the remainder when 2085 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) 0.2 (d) 0.0278 (e) 0.4 (f) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)\/x**45)**(1\/9) assuming x is positive.\nAnswer: x**(-226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 29 - 16. Solve -2*z + h = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n. Suppose -3*h - 57 = -3*t, n = -5*h - t - t - 116. Let d = h - -37. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 13) in base 3?\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 61*v + 36. Determine s(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375605784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)**(1\/10)*(t*(t**(-2\/11)*t)\/t*t*t)\/t**(-7))\/(t**(3\/2)\/t*t**(1\/4))**(7\/3) assuming t is positive.\nAnswer: t**(355\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 4 (c) 3\/2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 430*w**2 - 9245*w.\nAnswer: -5*w*(w - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 16*a**2 - 294*a - 79. Calculate g(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65434000 rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -3550, -11878, -28070, -54748, -94534, -150050?\nAnswer: -223918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1447\/6 + 240. Let w = -37683 - -37682. What is the smallest value in w, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 4 = 0. Suppose -p - 5*d = n, p - 4 = 5*p + 4*d. Let z be -2 + 1 + 4\/(-8)*-2. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 142, 2\/3, 1, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 5. Let s(q) = -3*q - 3. Let p(z) = d(z) + 2*s(z). Let u be (-63)\/12 + 2\/8. Determine p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19838678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/6*(3672\/(-48))\/(-51)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13733 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -457877753\nAnswer: -45787775.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 246575, 493151, 739727, 986303, 1232879?\n\"Answer: 246576*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3936.435 centuries?\nAnswer: 4723722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Suppose 2*u = s*u - 300. Suppose 0 = -k - 4*k, 0 = -5*g + 2*k + u. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + (sqrt(64)*1 + sqrt(64) - sqrt(64)))*3*5)\/((sqrt(72) + -1*sqrt(72) + sqrt(72))*3 - sqrt(72)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/(1\/21). Let o be 33\/(-15) - (((-16)\/(-156))\/2 + (-59134)\/195). What is the highest common factor of c and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 136394*q**2 + 137146*q**2 - 921*q + 2 wrt q.\nAnswer: 1504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = 5*l - 14, 3*s + 3*l - 18 = 0. What is the second derivative of 0*a**2 - s*a**2 + 0*a**2 - 3*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -148*b**2 + 52*b + 133. Let m be i(-4). What is m rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -15*s. Let y be u(-1). Let w = -12 + y. Suppose 0 = -2*c + 3*c - w. Solve -5*l = c*t + 4, 2*l + 10 = -3*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/(-39)*(-401877)\/42 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 4*r)*(1737*r - 1123*r - 1171*r - r - r + 4*r - 4 + 4 - r + (0 + 1 + 0)*(-5 - 2*r + 5)).\nAnswer: -1116*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/51 - -133\/34. Determine p so that -5\/3*p**2 - m*p - 5\/3 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 123*p**3 - 481*p**2 - 597*p - 238.\nAnswer: -(p + 1)**2*(p + 2)*(p + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a11 (base 13) to base 11\nAnswer: -130a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -3*x - 6*p + p, 0 = 3*p - 3. Let m be (-1 + 3)*x\/(-6). Suppose 3*r - m = 15. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-16)*-20*10\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33347538 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oemm when four letters picked without replacement from {m: 7, o: 6, e: 6}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42.06 and 40?\nAnswer: 82.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83488.\nAnswer: 2, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 875687036*s - 875687036*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 29 - l**3 + 3*l + 15*l + 20*l**2 + 2*l**3 + 30 + 4*l. Let k be s(-19). Calculate the greatest common divisor of 13 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**3 + 3*x**2\/2 + x - 3. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696651113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 7. Let f be 40\/4*t\/(-4). Solve 0*g = -f*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 146. Sort h, 2\/17, -0.2.\nAnswer: -0.2, 2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100549.\nAnswer: 100549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/8*(-1)\/(-5). Let n = 9 - 10. Let o = 0 + -0.1. Which is the second biggest value? (a) f (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 38*p + 3. Let a be l(19). Let g be (-4)\/a*(-5)\/(-30). What is the closest to g in -5, -1\/5, -46?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:28 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*z - 3, 0 = -3*r + 2*z - 31 - 0. Let x be r\/12 - (-2)\/6. Let s = 8 + -15. What is the smallest value in s, -5, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**3 - 18*y**3 - 27*y**3 + 70*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -318, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 39 = g, -g = -2*g + 4*x + 59. Suppose 0 = -g*k + 44*k - 2. Suppose 6*n + k*n = 128. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81 and 1196.\nAnswer: -96876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 36. Let u be m(16). Let o = u + 14. Solve 6*x - 3*t = 2*x - 17, -4*t = 5*x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 + -0.51. Put 0, u, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/20*(-290)\/29. Solve 0 = d*u + q - 12, -3*u - 4*q = -9 - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -2\/19, -31\/7, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2610 and -9\/406.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31906343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 27 + (-3 + 2 + 3)*(4 - 1 - 5) + 6 - 4 - 1)*(-2*b + 4*b**3 + 0*b**3 + 0*b**3).\nAnswer: -124*b**3 + 62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54906*o**2 - 38720*o?\nAnswer: -109812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 67*z - 4. Let u be (-8)\/14 - (-50)\/14. Let p be b(u). Suppose 0 = 3*w - 379 - p. Does 32 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddsddsdddsd. Give prob of picking 1 d and 1 s.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4953*s + 5528. Let g(p) = 1645*p + 1843. Let a(o) = 8*g(o) - 3*x(o). Differentiate a(j) wrt j.\nAnswer: -1699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:22 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -174 + 174 + 24*b as q + s*b and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 21*i = -104. Suppose -8*y = -48 + i. Suppose -4*x + 4*t - 24 = 0, 21 = -0*x + 4*x + y*t. Is -96 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 565*k**4 - 2700*k**3.\nAnswer: -5*k**3*(k - 108)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.364 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 25 = 5. Suppose 12*u - 13*u = 2*c - 101, -x*c = 3*u - 288. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + 8*h + 17. Let i(b) = -8*b**2 - 7*b - 15. Let r(d) = 4*g(d) + 5*i(d). Let q(v) = 5*v**2 + 3*v + 8. What is -5*q(f) - 6*r(f)?\nAnswer: -f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101610, -406396, -914364, -1625508, -2539822?\nAnswer: -3657300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 16. What is the remainder when r(3) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232.5 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 28*t**2 + 16*t + 35. Let n(c) = -141*c**2 - 81*c - 168. Give -24*k(y) - 5*n(y).\nAnswer: 33*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 40, 52, 82, 136?\n\"Answer: o**3 - 7*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 88, 124, 142, 136?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/13 - -29*(0 + 3 - 2). Solve j - q = 5*n, n - 5 + 11 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5554 + -3895. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 14) in base 6?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-15))\/(2\/370). Let i = r - -401. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 + 2. Let f be v(2). Factor 2*b**2 - b**2 + f*b - b.\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 383?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 = 5*s - 231. Calculate the common denominator of ((2850\/(-40))\/(-19))\/(-1) and 0 - -2 - s\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27636 - 16322. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69806 and 6916?\nAnswer: 12704692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 + 36475*u**2\/2 - 332624643*u\/2 + 332588169\/2.\nAnswer: -(u - 18237)**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 15176 = -72170. List the prime factors of u.\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -39*z**2 + 77*z - 18. Let u(l) = 1210*l**2 - 2387*l + 561. Let m = 301 - 488. Let j(k) = m*s(k) - 6*u(k). Find the second derivative of j(r) wrt r.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8484.856969 and -0.04?\nAnswer: 8484.896969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 920037.4ng?\nAnswer: 920.0374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -26 + 15 + 2 - -25.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1249 and 1263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*h**3 - 14466*h**2 + 4*h - 184958729 wrt h?\nAnswer: 117*h**2 - 28932*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -300 - -304. Which is bigger: a or 52\/11?\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 5*o**2 + 15*o + 3. Let r(y) = -2*y**3 - 6*y**2 + 15*y + 3. What is -5*r(z) + 6*v(z)?\nAnswer: -2*z**3 + 15*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 - 335 = -2*d. Let u be 1 + (-11 - -11 - (d + -128)). Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 4*t. Let x(i) = -3*i**2 - 14*i. Let a(u) = 7*s(u) - 2*x(u). Let j(m) = -3 + 16*m + 3. What is a(j(h))?\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a + 16. Let r be (-3)\/(9\/6 - 0). What is the tens digit of 0\/(a\/r) - -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1224) + sqrt(1224) + sqrt(1224)*-6))\/(sqrt(32)*6 - -1*sqrt(50)).\nAnswer: -72*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -998, -1087, -1242, -1463, -1750?\n\"Answer: -33*b**2 + 10*b - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 6 - s**2 + s - 6*s - 3*s.\nAnswer: -2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-256)\/20)\/(-8) + -1. Let k(i) = -i**3 + 2*i**2 + 5*i - 4. Let t be k(3). Suppose -t*l - 1 = -3*l. What is the nearest to l in -1, y, -0.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/5)*t**(2\/21)*t\/t**(-2\/31)*t**(-27) assuming t is positive.\nAnswer: t**(-79553\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 + -117.94. Let r = t - 0.06. Let w = 23 - 23.5. What is the second biggest value in r, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from dgdqgdggdggdgd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -7 - 1. Let k be 5\/20 + 315\/4. Let a = 84 - k. Put n, 0, a in descending order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*l - 1, w - 4*l - 5 - 2 = 0. Let d be 0\/6 - 26\/2. Let o = -8 - d. Solve u = -4*h + 2 - 12, -o = 2*u + w*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213110 (base 4) to base 6\nAnswer: -15352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -974.48 and -0.2.\nAnswer: 194.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -4*u - 273. Solve 83*q - 82*q - u = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/46*4 - 50814\/(-194787).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 12:43 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/21)*q**0*(q*q\/((q\/(q**(-2\/5)*q))\/q))\/q*q**4 assuming q is positive.\nAnswer: q**(598\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 55 + 195. Suppose -s = -r - 3*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**3 - 7*k. Suppose -x = -3 - 3. Let c(q) = 4*q**3 - 6*q**2 + 4*q + x*q**2 - q. Determine -7*c(l) - 3*n(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Suppose 4*x - 11 = 4*p + 1, -3*x = -2*p - 9. Sort f, -5, x in ascending order.\nAnswer: -5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/15 (c) 1\/3543 (d) -1\/4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3+-301140.9128041\nAnswer: -301137.9128041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**6\/1140 + 3*p**5\/190 - 9*p**4\/76 + 9*p**3\/19 - p**2\/2 + 20*p + 2. Let l(a) be the first derivative of o(a). Factor l(d).\nAnswer: -2*(d - 3)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vedv when four letters picked without replacement from edeeeevveveedve?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/5)*f*f*f)**10*(f**(2\/25)*f*f)\/(f\/(f*f**6\/f)) assuming f is positive.\nAnswer: f**(1227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v - 18. Suppose 27 = 26*f - 17*f. Let x(p) = -p + 1. Let g(z) = f*x(z) - r(z). What is the derivative of g(y) wrt y?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/119364 and -157\/136416.\nAnswer: 954912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 902738309 * 5\nAnswer: 4513691545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*u - 2268 - 4971 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)\/(t\/t**(-4))*t**4*(t**0*t)\/t*(t**(-1\/4))**(-38)\/(t**(-1\/4)\/t*t)**(-1\/44) assuming t is positive.\nAnswer: t**(1671\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.18033.\nAnswer: 0.18033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*r = 1, 21 = -5*j + r + r. What is the common denominator of -5\/12 and 0 - j - (-640)\/(-90)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 65*a + 186.\nAnswer: (a + 3)*(a + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -388, -519, -612, -667, -684, -663?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 263533 - 263533. Let b be (-2 + 1)\/(2\/(-6)). Let m = b - 1. Sort -4, j, m, -3.\nAnswer: -4, -3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1118 + 22339\/20. Find the common denominator of v and -15 + 12 - (-266)\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 948 = -3*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, 543, -2, -6 in ascending order.\nAnswer: -6, -5, -4, -2, 4, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 - 2*b + 20. Let s be q(9). Let u = s + 2. Solve -4*d + u = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2, 3, -8, 4\/9, 10.6 in descending order.\nAnswer: 10.6, 3, 4\/9, -1\/7, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.3 + -4.6. What is the second biggest value in 3\/7, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(52)\/sqrt(4))**2 - (-4*sqrt(130))\/sqrt(10)) + sqrt(117)\/(-4*sqrt(9)*6)*-3 + 2.\nAnswer: 33*sqrt(13)\/8 + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -32. Let w be (4 + 14)*189\/14. Calculate the highest common factor of x and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 128 = 48. Suppose -m*x - 16*x = -15080. Round x to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 16*t + 32. What is the remainder when 28 is divided by v(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1564966*p**2 + 1625*p - 532.\nAnswer: 3129932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30877?\nAnswer: 7, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 14*i**2 - 99*i + 1037. Determine g(12).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.3 - 114. Let q = 0.26 + -0.26. What is the fourth smallest value in 1\/4, q, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.125, -37, -0.08?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 28. Put -5, 0, g, -4 in ascending order.\nAnswer: -5, -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 4598650?\nAnswer: 4598647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -7*y**4\/12 + 22*y - 5. Let t(g) = -15*g + 2. What is t(s(q))?\nAnswer: 105*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/16 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -28d?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38455080 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1088 and 179792.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*h - 10, 16 = -2*i - 7*h + 2*h. Let v be (-17 + 2)*16\/20. Let y be ((-8)\/(-10))\/(v\/(-60)). Calculate the highest common factor of y and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -3*s**8\/7 + 29*s**4\/12 - 21*s. Find the third derivative of c(k) wrt k.\nAnswer: -2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)*h*h)\/h**(1\/3)*h**12*h**(5\/8))**(2\/71) assuming h is positive.\nAnswer: h**(55\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4653 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13791562\/1563 + -229969681813\/26086470. Let w = 12\/1669 - x. What is the common denominator of -113\/10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvuvuuuuj. What is prob of picking 1 v, 1 u, and 1 j?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -129*-2*(-1)\/6. Let i be 3\/((-3)\/w) - 2. Suppose 8 - i = -3*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -29. Suppose 58*f - 6 = 57*f. What is the third derivative of 25*t**2 - 3*t**w - 16*t**6 - 12*t**6 + f*t**6 wrt t?\nAnswer: -3000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37254292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 34*t - 21. Let q(c) = -17*c + 11. Let n(j) = 5*q(j) + 3*z(j). Let d be n(-2). Let h = 37 - d. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*x + 72, 7*p = 5*x + 2*p - 150. Let v = -21 + x. Let j = v - 3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 - 17 = 0. Let i = c - -18. What is the greatest common divisor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.043 - 75.143. Let q = p - -74. Suppose 5*i - 3*i = -v - 7, -5*i - 25 = -5*v. Sort i, -1\/5, q.\nAnswer: i, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -44*y + 58 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1454 + 2?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -282880080 divided by 2544?\nAnswer: -111195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -424 - -433. What is the closest to 0 in -4, -0.4, 2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -282019, -564040, -846061, -1128082?\n\"Answer: -282021*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/7 (c) -11754 (d) 1\/2 (e) 8\/9 (f) -0.52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - (-795)\/6. Let i = -8 + y. Suppose -107 - i = -4*v. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j + 3. Let t(f) = 29*f + 2. Give -2*h(v) + 3*t(v).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(152) + sqrt(152))*6)\/(6*(sqrt(64) + -1*sqrt(64) - sqrt(64))\/sqrt(8)).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.27 - -2.47. Let h = -0.02 - -4.02. Which is the second smallest value? (a) 3\/4 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 355216\/3*s + 0 + 118008*s**2 + 1\/3*s**4 - 397*s**3.\nAnswer: s*(s - 596)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 17, 3, 8 in decreasing order.\nAnswer: 101, 17, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -957838*f*r**3 - 6*f*r**2 - 2*f*r + 21213 wrt r.\nAnswer: -5747028*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*c**3*r**3*s**3 + c**3*r**3 + c**3*r**2*s - 2*c**3*s**3 - 3*c**2*s**2 + 96*r**2*s**2 + 1 wrt s.\nAnswer: -1362*c**3*r**3 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (6\/2 - 11). Suppose f - 2*l = -16, -g*l + 26 = -5*f - 78. Let n be 1290*4*(-20)\/f*2. What is n rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 1. Let g(p) = -10*p. Calculate g(j(q)).\nAnswer: 20*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*r = -r - 8, -r = i - 4. Let g = i + 4. Suppose -g*w = 2*h - 44, 0*h + 5*h = -4*w + 98. Solve 2*y - y = 5*a - 15, 4*y + a + h = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/50 and 99\/610?\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.0795 take away -19196?\nAnswer: 19266.0795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047\/117 + ((-2)\/(-4) - 266\/28).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - (-2 + 3 + sqrt(171) + sqrt(171))**2.\nAnswer: -685 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = -2*r. Suppose -3*c = r - 20. Is 4 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*a*j**3 - 628075*a*j - a - 22488*j**2 wrt j.\nAnswer: -210*a*j - 44976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 34*g + 10. Is b(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d + 16. Let c be s(-5). Let b be ((-48)\/c)\/(-5 + 216\/42). Suppose 4*f - 87 - 585 = 0. What is the highest common factor of f and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Let u(q) = q**3 - 5*q**2 + q - 4. Let v be u(b). Solve 5*y - 4 = v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klhpm. Give prob of sequence ph.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -167100 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let b = 0 + 0. Suppose 5*r + 3 - 13 = b. Let v(y) = -2*y**2 + 2*y**2 + 2*y**r. What is v(a(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444744 and 10440.\nAnswer: 2223720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78850 and 36518?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((sqrt(117) - (sqrt(117) + (sqrt(117) + sqrt(117)*4*3 - sqrt(117))))\/sqrt(9) - 1*(sqrt(104)\/sqrt(8) - sqrt(13))*-2).\nAnswer: -12*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 23 + (22 - (82 - -23) - 10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 5:54 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 23*d**4 - 50*d**3 - 5*d**2 + 1911. Let i(v) = -12*v**4 + 26*v**3 + 3*v**2 - 955. Let p(q) = 5*i(q) + 3*j(q). Find the first derivative of p(b) wrt b.\nAnswer: 36*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -589 + 376. Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1666 - -5645. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 634, -719, 4, -1, -8, -5 in increasing order.\nAnswer: -719, -8, -5, -1, 4, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 - 13 - 12)*(-4*v + 5*v - 4*v) in the form m*v + u and give m.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 3\/4, 0.13, 2.597?\nAnswer: 2.597","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*c + 11302 - 11247, -6*c - 4*t + 58 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 345, 515, 683, 849?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w**2 - 7*w. Let b(i) = -11*i**2 + 5*i. Let n(h) = 7*b(h) + 5*r(h). Let l(o) = -4*o - 166069 + 2*o + 166069. Calculate l(n(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:22 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**3 + 7. Let w(s) = -1330*s - 2654. Let t be w(-2). Let v(n) = n**3 + 1. What is t*l(k) - 42*v(k)?\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/60 + s**4\/4 - 2*s**3\/3 + 11*s**2 - 2. Let i(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 - 2*u. Let d(v) = -v**3 + 3*v**2 + v + 3. Let t be d(3). Let s = -4 + t. Let i be 0\/5 - s*2. Give c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 69*q**2\/4 - 1358073*q\/2 + 4368738 = 0.\nAnswer: 148\/23, 39358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114aaa (base 11) to base 13.\nAnswer: 64cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:07 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 30*m + 2. Let w = -20 - -5. Let a be u(w). Solve 4*k = 3*d + 4, a*k - 6*d = -2*d + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u - 5, 3*x - 3*u = -261. Is -81 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 3*t**3 - 69*t**2 + 0 + 0*t**4 + 0*t + 23\/60*t**5. Find the first derivative of x(n) wrt n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 take away -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 3*k - 3*k + k + 4 - 4 + (0 + 1 - 3)*(-3*k + 3*k - 2*k) + 7*k - 6*k + 6*k + 154*k + 123*k - 77*k as u*k + p and give u.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, f: 7}. Give prob of sequence fk.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(77)\/(sqrt(1331) + 1*sqrt(1331) + sqrt(1331) - sqrt(1331) - sqrt(1331)))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13636 is divided by 4544.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 4*x - 2. Suppose 3*b = 4*r - 2 - 8, 2*r = b + 4. Let a be s(b). Solve a*v - 18*v**5 + 14*v**5 - 8*v**2 + 8*v**4 - 2*v = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/4 - 11*k**3\/2 - 36*k**2 - 137*k - 1. Factor m(f).\nAnswer: -3*(f + 3)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 4, -13, -42, -83, -136?\n\"Answer: -6*h**2 + 13*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-127 - -48) + 95 + -40\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -1*sqrt(153) - sqrt(153))**2.\nAnswer: -3696 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 2*o + 4. Let p be a(-2). Let u = -2 + 8. Let j = u + p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 408, 410, 412, 414?\n\"Answer: 2*k + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 435 + -379. What is the remainder when 216 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2558519 + -3455481. What is d rounded to the nearest one hundred thousand?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 823 and 25.\nAnswer: 20575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9448 minus -0.0430862822?\nAnswer: -12.9017137178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 11.4?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3417 - -0.2147. Let v = 1.03 + k. What is v rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((4 + sqrt(448))*2 - (sqrt(448) + -1)**2*-5)*4 + -2.\nAnswer: -1024*sqrt(7) + 36046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112724 (base 9) to base 16.\nAnswer: 10849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t - 5*h = -5, 0 = 2*t - h + 1. Let f = -83 - -83. Solve t = -f*l + l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i - 17. Let z(l) = -216*l**2 + 2. What is z(n(o))?\nAnswer: -13824*o**2 - 58752*o - 62422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-17 - 9 - 10)*((3 - 2 - 2)*(l - 5*l - 2*l)*(-2 - 3 + 4) - 3*l + 3*l - l) to the form s + x*l and give x.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*2\/(-56)*-4. Let u = 2 - 0.7. Let t = 2.7 + u. What is the closest to -1 in t, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/((-63)\/84)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 at most -3419\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*d - 97 = 0, -5*o - 2*d - 6 + 129 = 0. Let r = o - -15. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 130, 146, 168, 196, 230, 270?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-18)*(2 + 0))\/((-9724)\/(-561)). Is -1.1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.71 - 4.29. Let o = -0.4 + 0.2. What is the biggest value in o, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23653167*c**3 + 93203*c**2 - 11 wrt c.\nAnswer: -141919002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7035, -14021, -21007, -27993, -34979?\nAnswer: -41965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1655997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**3\/3 + 2*z**2 + 11*z - 26. What is the tens digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2511 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5499 and 541017.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699.321g in nanograms?\nAnswer: 5699321000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*k - 1053 = 0, t + 4*t = -5*k + 1035. Let q = -100 - -142. Let b = -23 + q. Calculate the highest common divisor of t and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/3857776 and 69\/8.\nAnswer: 3857776","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - 4*u**2 - 4*u - 3. Let s be o(-2). Let t = -38 - s. Calculate the greatest common divisor of 117 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvfdqfiiivfddv. Give prob of picking 2 f and 1 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**3 + 2*z**2 + 6*z + 1. Suppose -3 + 9 = 2*d, -3*w = 3*d - 27. Suppose 0 = w*v + 24 + 12. Let k(i) = i**3 + i. Give v*k(r) + o(r).\nAnswer: 2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = -m - 26, 13 = 2*t - 15*m + 11*m + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53121774767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7\/(-105)*-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igloqqqoq. What is prob of sequence qloq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*m**2 + 9*m**2 + 2*m + 715 - 710 + 25*m**2 + 0*m**4 + 3*m**4 as y*m + n*m**3 + o*m**4 + d*m**2 + w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 17*m**3 + 3*m**2 - 10*m**2.\nAnswer: -17*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40058 - 4*o - 19987 + 35*o - 20071 + 38*o.\nAnswer: 69*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-7))\/(-21)*(-6)\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425838 to the power of 1\/2, to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05052 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s - 97*s + 2005 = -3447 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*c**2 - 110*c**2 - 4*c**4 + 20*c**2 + 418*c + 30*c**2 + 31*c**2 to the form n*c**4 + f*c**3 + l*c**2 + k + z*c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 14 = 2*j - 3, 5*n = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) 0.4 (c) -5\/4 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -50*w - 72 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (-8)\/((-24)\/15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44490 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 241307487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330184)\/1740916 - (-4)\/23?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(10\/4))\/((-3)\/15). Suppose c + 16 = -3*c. Suppose 0*u + 3*d = u, -1 = -u + 4*d. Sort n, c, u in decreasing order.\nAnswer: n, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*h + 0 + 21*h - 2 - 387*h to the form d*h + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 0*u**4 + 2*u**4 + (2*u + 0*u - 3*u)*(-9 + 9 + 3*u**3) + (-5*u + 5*u + u)*(1 - 1 - 2*u**3).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(152) + -1*sqrt(152)*2 + sqrt(152))\/sqrt(8))*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2 - 1\/2*u**4 + u + 3\/2*u**2 + 0*u**3. List the prime factors of o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 475475*x**2 + x + 117276.\nAnswer: 950950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 - -180. Suppose -g*i + 0*i = -28. Solve s - 3*s - 3*r + i = 0, 0 = s + 3*r - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020252 times 8?\nAnswer: 0.162016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*d - 3356 = -3344, 2*v - 12 = -10*d for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 0 - -94 - 0. Suppose -7*w = -6*w - t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 0*n + 654. Let k = n + -107. Let u(i) = -2*i**2 + 4 + 3*i**2 - i - k*i. Give u(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 3. Let z(a) = 1431*a**2 + 1977*a + 14. Let r(l) = -5*s(l) - z(l). What is the second derivative of r(q) wrt q?\nAnswer: -2872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3006 + m**2 + 186*m - 2367 + 1495 wrt m?\nAnswer: 2*m + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.19. Let f = -3.2 - x. Which is the smallest value? (a) 0.3 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.96 + 46. Let w = 0.8 - -0.2. Let a = w + p. Round a to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1016464*j**2 + 9*j - 5. Let t be ((-8)\/(-18)*3)\/(14\/21). Let r be x(t). Suppose r = -3*w - 284131. What is w rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - 3 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 18*h + 5. Let t be y(4). Suppose t + 23 = 5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961322677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -60. Suppose 0*h = u*h - 72. What is the remainder when 23 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39558 is divided by 2969.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -653, -980, -1307, -1634?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259689*t - 260850*t + 12771 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x**4 + 33968*x**3 - 82989*x wrt x?\nAnswer: -60*x**2 + 203808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 13*m - 9. Suppose 6*g + 16 = -32. Calculate n(g).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2a?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - v**3 + 4*v**3)*(-4*v + 4*v + 2*v) - 4*v**2 - 320*v**4 - 298*v**4 + 671*v**4 to f*v**3 + u + w*v**4 + q*v**2 + l*v and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 9. Let h be l(7). Let p = -8 + 12. Suppose h*i + 12 = p*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 19 = 61. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**5 + 410*y**4 + 2161*y**2.\nAnswer: 540*y**2 + 9840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73834 and 123213.\nAnswer: 135780726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/7, -152, 2 in decreasing order.\nAnswer: 2, 1\/7, -0.1, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o**2 + 1\/3*o**3 + 0*o + 1. Let s(h) = 4*h + 2*h - 4*h. Determine s(a(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1684 (base 13) to base 15.\nAnswer: -eb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1854)\/198 + ((-4320)\/(-264))\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86574814.\nAnswer: 2, 43287407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:33 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*(sqrt(84) + 3*sqrt(84)) + sqrt(84))\/(sqrt(432)*-6 + sqrt(12)))**2.\nAnswer: 4*sqrt(7)\/5 + 107\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 - 0 - (1 + -3) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**7\/1260 - 5*m**4\/12 - 5*m. Let s(x) be the third derivative of f(x). Let a(y) = -8*y. What is s(a(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2) + 1 - 0. Let p = 23.8 - 22. Let m = -0.2 - p. Put -5, m, c in ascending order.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 5, f: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/2 + 229\/42. What is the common denominator of -76\/27 and c?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(2057) - (0 + sqrt(2057) + 1)) + (5 + (sqrt(2057)*-2 - sqrt(2057)) - 6*(sqrt(2057) + -1)) + 0) + -2)**2.\nAnswer: -73656*sqrt(17) + 6002056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k\/(k\/(k**3\/k))*(k*(k\/k**(-1\/3)*k)\/k)**(1\/85))**50 assuming k is positive.\nAnswer: k**(-7580\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c - 61345 + 60785 = 0 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 0*n**2 + 1 - 1.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -2. Suppose -3*l = -5*l + 24. Let k = a + l. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + 7 + (-444)\/(1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 467344676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2 - sqrt(121))*-4)\/(sqrt(121)\/(sqrt(55)\/sqrt(5))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -4\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 1 + 0*u**2 - 7*u**2 + (-4*u + 2*u + u)*(u + 0*u - 3*u) as d + z*u**2 + w*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w. Let z(v) = -2*v**3 - v**2 + 4*v + 13. Give 4*k(a) + z(a).\nAnswer: -2*a**3 + 3*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) -6 (b) -4 (c) 0.3 (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 1, t: 1, b: 2}. Give prob of picking 1 q, 1 b, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2. Let a(v) = 2*v**2 - 15*v - 1. Calculate -a(o) - 3*m(o).\nAnswer: -2*o**2 + 15*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*s**3 + 124*s**2 + 1312*s - 1344.\nAnswer: -4*(s - 4)*(s - 1)*(23*s + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssyssy. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) - 2*sqrt(1458) - sqrt(1458))\/sqrt(6).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168905 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2867 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -750118*f**3 - 781313*f**2 + 3*f.\nAnswer: -4500708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1215*j**3 - 1671*j**2?\nAnswer: 7290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*j**2 + 49*j**2 + 46*j**2 - 278*j**2 + 44*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/4, 16727, -7, -10 in decreasing order.\nAnswer: 16727, 3\/4, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + 88. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 0.6, 3, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 - 84*q**2 - 2112*q + 44528 = 0. Calculate q.\nAnswer: -23, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/7 - 3838*a**2\/7 + 7670*a\/7 - 3834\/7 = 0.\nAnswer: 1, 1917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 131 - 136. Let l = 86 - 85.5. Put l, -0.5, 16, j in ascending order.\nAnswer: j, -0.5, l, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1933, -5, 1 in descending order.\nAnswer: 1933, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 372, 1287, 2684, 4557, 6900, 9707, 12972?\n\"Answer: -b**3 + 247*b**2 + 181*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -0.39. Let n = 0.6 - 2.6. Which is the biggest value? (a) q (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48136218, 48136244, 48136270, 48136296, 48136322, 48136348?\nAnswer: 48136374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2684377, -2684277, -2684177, -2684077, -2683977, -2683877?\n\"Answer: 100*b - 2684477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 422 = i - 2*i, -1673 = -4*i + 3*v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 + 674 + 443*p + 97*p - 337 - 2*p**2.\nAnswer: -2*p**2 + 540*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3391988 litres in millilitres?\nAnswer: 339.1988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 593430 divided by -5\nAnswer: -118686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:36 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 23*r**2 + 194*r**3 - 119*r**3.\nAnswer: 75*r**3 + 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c**2 + c + 1. Suppose -1 + 3 = -2*x. Let d be o(x). Let k be d\/52*(0 - -10). Solve 3*s = -k*b - 3, b - 3*b + 1 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 - (87 + 5)) + -80.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*-1*(-2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3224?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 10 + 3*x**3 - 11 + 2*x in the form z*x**3 + t*x**2 + p*x + a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.021*1789047\nAnswer: -37569.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-3\/5)*i))**(-31)\/(i\/((i**2\/i)\/i))**(-9))**14 assuming i is positive.\nAnswer: i**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = 5*l. Find g such that 243*g + 42 + 39 + 33*g**4 - 4*g**5 + 138*g**3 + 270*g**2 + l*g**5 + 5*g**5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -7, -7, -5?\n\"Answer: p**2 - 5*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -2.109.\nAnswer: 2.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -75 (b) 2\/13 (c) 2 (d) -1368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2188?\nAnswer: -1\/2188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 18, -1, -2 in descending order.\nAnswer: 18, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 62*x**2 + 64*x - 63*x**2 - 28*x - 36*x. Let t(u) = 24618*u. Determine y(t(c)).\nAnswer: -606045924*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q + 22. Let b = -7 + 18. Let s(a) = 7*a - 11. Let w(r) = b*s(r) + 6*i(r). What is w(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1 + 6. Let i(f) = -2*f + 6. Let h(x) = -3*x + 7. Let n(a) = -3*h(a) + 4*i(a). Give n(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 - 9 = 0, -35 = -5*v + 3*i. Factor 2*r**5 + 4*r**4 - 16*r**2 - 24*r**3 + 32*r - 4*r**4 + v*r**4 + 2*r**5.\nAnswer: 4*r*(r - 2)*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496095 - 774431 = -2951*f - 7215*f - 20108 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*r - 1. Let n = -72 - -42. Let v be (-1 - -2)*(n\/25 + 1). Which is the nearest to -2? (a) r (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 3, u: 2, p: 2, f: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575538891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.3 + -7.6. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.311 + -5.689. What is the nearest to 1 in g, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**4 + 5*p**3 + 6*p**2 + 6*p - 6. Let l(j) = -5*j**3 - 5*j**2 - 5*j + 5. Let t = 2 - -4. Let d(n) = t*l(n) + 5*o(n). Factor d(a).\nAnswer: 5*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 2}. Give prob of sequence eaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvvfffffff. Give prob of sequence vvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -7, 0.6, -4, -9 in decreasing order.\nAnswer: 1.5, 0.6, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k - 272. Suppose -y = -4*o + 68, -15*y - k = -3*o - 10*y. Calculate the remainder when 60 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from vypxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 12. Determine m(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 6*g - 4. Let p be l(2). Let j be (15\/(-5) - p)*-1. Let t(m) = 4*m**2 - 4*m. Determine t(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450.8185cm to kilometers.\nAnswer: 0.004508185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12343*b**6 + 4439*b**2 wrt b.\nAnswer: 1481160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = 35*v + 150. Let o = 2 - 1.5. Let b = 61 + -184\/3. What is the closest to v in b, 5, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*s + 122999960. Suppose 3*u + s = 4*u. Suppose 2*d = -d - 4*a - u, -d + 5*a = 20500025. What is d rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w - 29*w - 218 = -342 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/18*(-7)\/(385\/10208). Calculate the highest common divisor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -103. Let i be (g\/40)\/((-9)\/(-12)). Determine q so that 1\/3*q**i + 0 - 1\/3*q**5 + 0*q**2 + 0*q + 0*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1569291 is divided by 465?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*i + 44 - 67*i - 64*i - 120*i**2 + 461 with respect to i.\nAnswer: -240*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:25 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244188 is divided by 6975.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 - 109*z - 152. Let p be m(-14). Solve 15 = 5*j + 4*o, 2*o - p - 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 divided by -6851\nAnswer: -222\/6851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 - 8*o + 6. Let d be c(-8). Suppose 5*h - 31 = n, d*n - 2*n = -5*h + 26. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 139*j = -430*j + 13375 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 4*z - 9. Let l(q) = -5*q**2 + 12*q - 27. Let b(a) = -8*d(a) + 3*l(a). Let k be b(10). Let g = 212 - k. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r - 3*r + (-1 - 2*r + 1)*(2 - 5 + 1) - 37*r + 894 - 894.\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 5*f - 14. Let v(t) = 6*t - 13. Let l(i) = -13*i + 26. Let g(p) = -2*l(p) - 5*v(p). Let b(m) = -m + 4. Determine f*b(n) - 2*g(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -0.3 (c) -0.1 (d) 1\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 251, 501, 851, 1301, 1851?\nAnswer: 2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgzlleq. Give prob of sequence zl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 53*v - 229. Let k(x) = -2*x**2 - 27*x + 114. Let g(s) = 5*k(s) + 3*q(s). List the prime factors of g(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/3 + 803*v**2\/3 - 18976*v\/3 + 18172\/3 = 0. Calculate v.\nAnswer: -826, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(-8\/7)*c*c))*c*c\/c**(-9)*c**(-3\/10)*c*c*c**(-2\/3)*c assuming c is positive.\nAnswer: c**(2917\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -44. Let x(m) = -m - 2. What is x(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 4*f**2 - 8559*f + 34239. Calculate x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174240 - 1320*j - 5\/2*j**2.\nAnswer: -5*(j + 264)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2\/7 + 101154*d - 708057 = 0.\nAnswer: 7, 236019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**4 + 929*y**2 - y - 928*y**2 + y**4 - 16 + y**3 to v*y**4 + w*y + m + g*y**2 + x*y**3 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*g + 25 + 6)*(4 - 4 + 2) as s*g + b and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490)*-3)\/sqrt(10) - sqrt(49))\/(-3*sqrt(343) + sqrt(343))*4.\nAnswer: 8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*j + 18, -5*f - 2*j + 45 = j. What is the third derivative of 5*m**2 - 10*m**2 - 6*m**2 - f*m**3 + 2*m**3 wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59740726 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*q - 1049009 = 68*q + 84*q. List the prime factors of q.\nAnswer: 13, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -264*v + 13. Let k be y(-5). Suppose 0 = 4*z - 5*x - k, 15*z = 12*z + 4*x + 1000. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.76624*-37\nAnswer: -139.35088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*n = -6, -4*r + 6*n + 33 = 9*n for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -315 (b) 5 (c) 0.24 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121081 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((0 - -1)*-63)\/((-5)\/5) is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118221 and 2140779?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let l be (13 - 15)*1\/2. Sort j, l, -5 in descending order.\nAnswer: j, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15118.\nAnswer: 2, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 4:55 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {w: 1, f: 1, h: 5, v: 2, g: 6, i: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-16)\/10. Suppose h - 1 = -5*c, 0*c + c - 5*h - 21 = 0. Let w = s - c. Put -4, w, -5 in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 20. Let o be 525\/450 - 380\/(-24). Solve 3 = -j*s - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 25. Let h = -15 + s. Which is the second biggest value? (a) 1\/4 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10705242 - 167182242. Round z to the nearest 1000000.\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*r**2 + 11*r**2 - 2*r**4 + 2*r + 4*r**2 + 9*r**2 + 2*r**3 in the form v*r + o*r**2 + z + x*r**3 + k*r**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/38399 at least as big as 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4283150, 1\/10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80392 - -310540. Suppose 3*i - 4*v + l = 917164, v = 3*i - 687004. What is i rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 196, -0.06, -2\/3, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4)*3\/(-45)*-6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17637 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 - 8*w + 8. Let l be h(4). Suppose 13*m - 45 = l*m. Suppose -a - 2*z = -m, -a + 4*z - 15 = -2*a. Solve 0*u = a*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + 3 + (sqrt(343) - (sqrt(343) + 0)**2) + sqrt(343)))*1.\nAnswer: -14*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - (2 + 0)) + -2. Suppose 4*n + m*n - 318 = 0. Factor -5*u**3 + 3*u**4 - 59*u**2 + 3*u**5 + 3*u + 0*u**4 - u**3 + 3 + n*u**2.\nAnswer: 3*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2*q + q - 33*q**2 + 26*q**2. Let r(o) = 2*o + 35. Determine r(w(h)).\nAnswer: -14*h**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10328 and 1.3617219.\nAnswer: -10326.6382781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a0a (base 14) to base 3.\nAnswer: 11200220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(4*p - 2 + 2 + (4 + 1 - 4)*(-2*p - 2*p + 3*p) - 3*p + p + 0*p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001114 (base 5) in base 7?\nAnswer: -160400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18298*f + 295*f - 8177*f + 4482*f.\nAnswer: -21698*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b2b581 - -4?\nAnswer: -11b2b57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 55 = 80. Sort k, -2, 42, -5 in ascending order.\nAnswer: -5, -2, k, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-370)\/(-45) + 2\/(-9))\/2. Let l be ((-2)\/w)\/((-1)\/2). Let x = 1.6 + -2. Which is the second smallest value? (a) -0.1 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189506.392 + -188871. Let k = -633 + d. Round k to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777666623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -774 - -774. Suppose w = o - 3*d - 30398, 2*o - 35074 - 25712 = 4*d. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59798 - 59797.99975981. Round n to 6 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Suppose l + 6*t - s*t = -20, -3*t - 15 = -3*l. Suppose l*c + 20 = 5*c. What is the remainder when 11 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 7, -5, 0.5, 0.8, -0.1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 = a - 3*l + 1085, 3*a + 47 = 5*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = -d + 33 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 212\/13, -6, -0.5, 13.61 in ascending order.\nAnswer: -6, -0.6, -0.5, 13.61, 212\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**2 + 0*q + 5\/4*q**4 - 3 - 5*q**3. What is the third derivative of y(u) wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 264\/(-26) - 164\/208*100?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 131*x**2 - 474*x - 208. Calculate p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let h(z) = 27*z + 1. Determine h(v) - 2*p(v).\nAnswer: 29*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 3*w - 7, 0 = 2*d - 4*w + 6. Suppose d*g - 558 = -g. Let n = -85 + g. Solve n = -l - 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -68*u**3 + 2*u**2 - 23*u + 21. What is m(1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3650, 14582, 32802, 58310, 91106, 131190?\n\"Answer: 3644*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1 + 4 + -2). Let m(o) = o + 863. Is m(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/42 - (-1135)\/(-195)) + (-2)\/(-13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6588*c**2 - 26114.\nAnswer: -13176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2167, -4564, -6961, -9358, -11755?\n\"Answer: -2397*u + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44950, 44934, 44918?\n\"Answer: -16*z + 44966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 4074523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39108 or 1?\nAnswer: 39108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 61*y = 26*y + 240 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229141 is divided by 420?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -171, 1 in decreasing order.\nAnswer: 1, -0.07, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 2*o + 1. Let m be j(4). Suppose -5*b + 5*k + 15 = 0, 3*b + 3*k = k + m. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -138*(-4 + 20\/15) and 322.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*t + 3*h, -232*h + 237*h + 19 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkc when three letters picked without replacement from kkikbbkc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476 - 229825*r**3 + 972 - 493 + 229793*r**3.\nAnswer: -32*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h. Let s(u) = 3*u - 24*u + h*u. Let g(o) = 3*o. Let l(d) = -7*d. Let q(k) = 5*g(k) + 2*l(k). Calculate s(q(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 9 = 4*w. Let i be ((-78)\/15)\/(w\/(-20)). Find the second derivative of -d**3 - 6*d**3 + 5*d**3 - i*d - 4*d**3 wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 20. Calculate the greatest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 - (-7 - -10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.2888 to one dp.\nAnswer: 36.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19562?\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1255 (base 14) to base 11.\nAnswer: -245a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 + 7 = -2*s, -s + 22 = -5*z. What is the nearest to s in -2\/9, -1, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*s**3 - 2)*(s - s - 2*s) + s**4 - 13*s**4 - 2*s**4.\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.2 (b) 2\/11 (c) -20 (d) -3.72 (e) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137.64 - -137.54. Which is the nearest to -18? (a) i (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006887223783 rounded to 6 decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -877.9 + -270.1. Let n = -1147.998966 - w. What is n rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 10872 + 10876 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1103 or -1100?\nAnswer: -1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 367 = -4*d, 3*d - 373 = -3*x + 4*d. Let k = 202 - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 2*n**4 - n**4 + (-3*n + 0*n - 2*n)*(2*n**3 + 2*n - 2*n) in the form v*n**2 + b*n**3 + p*n**4 + l*n + i and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 + 5*q. Let p(l) = -l**3 - 6*l**2 - 3*l + 4. Let b be p(-5). What are the prime factors of i(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.2+-5.8054\nAnswer: -9.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*(-8)\/((-2048)\/(-40))*-2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35204\/(-9478) + (-20)\/(-7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-9)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txclxrte. What is prob of picking 1 c and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*z + 3632 = -643 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -32.991. Round w to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f + r = -112, 0 = -4*f - r + 423. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**3*(m**(-1)\/m*m)\/m*((m**1*m*m)\/m)**(-1)*((m**0)**(-2\/97))**(5\/18) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {g: 3, h: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.172 + 0.172. Which is the third biggest value? (a) 2\/9 (b) h (c) 1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, -5, -34.\nAnswer: -54, -34, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -505+-1171027333128\nAnswer: -1171027333633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -10\/7, 2\/49?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2190141 times 1.6\nAnswer: -3504225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075\/(-3225)*(-102)\/(-10)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65554422 (base 7) in base 8?\nAnswer: -25356367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5*t - 15*a**2 + 2*a*t - t wrt a?\nAnswer: -40*a**3*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 144524 * -26\nAnswer: -3757624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/3 - 48*y**4 - 598*y**3\/3 - 252*y**2 - 304*y\/3 = 0.\nAnswer: -2, -1, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 2, 31, 82, 161?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2030745.99 from 62526.\nAnswer: -1968219.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1531051687 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19637 - 4893 - 10660 + 4314 + 147)*(-3 + 7 - 1)*(-3*v + 2*v + 0*v) as l + n*v and give n.\nAnswer: 92187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/(-30))\/((-17)\/6120)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2236 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 108 + -29 + -52.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4552 = 53*u + 4498 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:12 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*1)\/((-5)\/((-20)\/(-3))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -804, -833, -896, -1005, -1172?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 60. Let r = p - -33. Suppose -r*t + 572 = -181. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 + (38 - 63))\/2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012893 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -265, -305, -347, -391, -437, -485?\n\"Answer: -p**2 - 37*p - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 15 - 7*n - 2*n + 3*n. Let d be i(-7). Factor 2*b**2 - d*b + 3*b**2 + 4 - 3*b**2.\nAnswer: 2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdand. Give prob of picking 1 d and 1 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s + 2. Let m be h(3). Suppose m*w - 2 = -0. Let x = 168 - 2182\/13. Which is the closest to w? (a) x (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -444*v + 8078. Give h(18).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52625, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (3 + (6 - 12)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = d + 5, -8*z - 16*z = 4*d + 92 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3424 and 576?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*r + 873. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*h - 4559, -g + 4571 = -218*h + 222*h. What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 434.5 + -435.5. What is the closest to i in 7.3, 1, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:42 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*n + u - 2*u, 0 = -3*n + 5*u + 128. Suppose -2*z + n = -0*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 44. Calculate the common denominator of -45\/4 and 134\/(-44) + v\/(-30).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3206*m + 10034*m + 8672*m - 2962*m = -877660 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2300132 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:55 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.07, 1516, -3 in decreasing order.\nAnswer: 1516, 2\/5, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - z - 3)*(10719 - 3714 - 4634) to the form n*z + f and give n.\nAnswer: -2371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + n + 3, -r + 2*n + 3 = 6. Is r greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458776042.\nAnswer: 2, 729388021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -4, 1\/5, 12 in descending order.\nAnswer: 39, 12, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k - 43. Let y be m(6). Suppose -1091 = -y*f - 101. Suppose -62 = 4*i - f. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049091 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 5*h)*(h - 4*h + 2*h)*(38 + 213 - 101).\nAnswer: -600*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-1\/3)*k*k*k**2)\/(((k*k**(1\/6))\/k)\/(k**3\/k)) assuming k is positive.\nAnswer: k**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*-2*2)\/(4*(sqrt(75) - -1*sqrt(75) - sqrt(75))))**2.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 759 - 759.01. Let t = -1753 + 10459\/6. Let z = -29\/3 - t. Which is the second biggest value? (a) -2 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 15. Let c be b(13). Let t be 7 + ((-6)\/3 - c). Suppose 0 = -5*u + 15, -3 = q - 3*u - 1. Calculate the greatest common divisor of q and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10979318 is divided by 5489652.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 50. Suppose 4*k - 13 = l. Let g = -1 - -1.1. Which is the nearest to -1? (a) 1 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-z + 0 + 0 - 2*z - 2*z + 3*z + (-4*z + 2*z + z)*(0 + 2 - 1) - z - 2*z + z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t + 6. Let p(u) = 10*u - 3. Let v(a) = 11*p(a) + 6*q(a). Let j = 3 + 0. Calculate v(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2960*f**2 + 5100*f**2 - 1 + 1.\nAnswer: 8060*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 982, -3, 1, -4, -348, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:57 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4788, -19065, -42836, -76101, -118860, -171113?\nAnswer: -232860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i + 12. Let a be z(6). Suppose -91 - 65 = -13*k. What is the greatest common divisor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(19 - 4). Is -8 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 4\/7, -12, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 2*g**2 - 52*g + 301. Let a(b) = -2*b**3 - 2*b**2 + 65*b - 302. Determine 4*a(x) + 5*f(x).\nAnswer: 2*x**3 + 2*x**2 + 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.108241 + 19\nAnswer: 19.108241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81479 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 25245?\nAnswer: 50490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26834 and 0.5.\nAnswer: -26833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 6*j + 4. Let x be 6\/(-45) - (-219)\/(-45). What is t(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taastmtgmttaas. Give prob of sequence mama.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/60 - 11*r**5\/60 + 5*r**4\/24 + r**3\/2 - 2*r**2. Suppose 121 + 89 = 42*m. Let a be q(m). Solve s + 1 = a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(-1 + sqrt(175) + sqrt(175) + (sqrt(21) + 2*sqrt(21))\/sqrt(3)) - ((2*sqrt(448) + -5)**2 + 5 + ((sqrt(448) - sqrt(448)*2)**2 - sqrt(448)))*-6.\nAnswer: -1047*sqrt(7) + 13618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-six ninths of a hour?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/2*(-35)\/25. Let l = -24 - u. Let k = -8 + 7. Sort k, l, -4.\nAnswer: -4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*o + 193 + 9*o**4 - 3*o**4 - 60*o + 125*o - 4*o**4 to u*o**4 + r + s*o**3 + y*o + d*o**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 109 - 104. Let o = 21 - 40. Let l = y - o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -1\/5 (c) -0.03 (d) 0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -1269363.\nAnswer: -23\/1269363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**4 + l**2. Let a(j) = -5*j**4 - 2*j**4 + 2*j**2 - 3 - 1 - j**4. Let g(c) = a(c) - 2*h(c). What is the derivative of g(m) wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 = 63. Find the common denominator of 121\/18 + z\/(-15) and -25\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from tjttjjuutgtt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72835838*g**5 + 2*g**3 + 10742*g**2 + 112*g - 3?\nAnswer: -4370150280*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -759*v**2. Let q(d) = -16*d**2. Give q(i(a)).\nAnswer: -9217296*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349 - -84. Let s = -264.999904 - c. What is s rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 3)*(4*w + 0*w - 6*w) + w - 8*w - w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 501734893 a multiple of 3767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)*((m\/m**1*m)\/m)\/m*m)\/(((m*m**(-1\/3)*m)\/m)\/m**(-7)))\/((m\/(m\/m**(-5))*m*m**(1\/5)*m)\/(m**(1\/2))**(-10\/19)) assuming m is positive.\nAnswer: m**(-5753\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 25 + 2 - (-24)\/1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 smaller than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 2*q, 0 = -5*s + 5*q + 215. Let x(o) = -4*o**2 + 31*o - 48. Let a be x(5). Suppose 2*k + a = s. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407817 + -2266.75518.\nAnswer: -410083.75518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 + q - 1. Suppose 22 = -5*o - 98. Let r be o*(-2)\/(-8)*-2. Suppose -2*h + 3*v = -3, 3*h + 0*v - r = -3*v. Give j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*m = 49, 5 = -3*m + 17. Suppose -t*x = -10*x - 63. Calculate the greatest common divisor of 77 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 5*c, 3*s - 6 = 5*c + 6. Calculate the common denominator of 3\/s*(-678)\/(-45) and (-7)\/(-7) + 242\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.90864 + -96.73. What is v rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-105))\/(2826\/2027655).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4116778 is divided by 546?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5)\/((6\/(-9))\/1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 63176*n**2 - 3*n - 126480*n**2 + 63241*n**2. Let r(x) = -24*x. What is r(w(o))?\nAnswer: 1512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 44, 55, 62, 65?\n\"Answer: -2*b**2 + 21*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(0 + 2 + 2 + 4*sqrt(567)) + -5)**2.\nAnswer: 1728*sqrt(7) + 145188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 283\/99 - 29\/11. Calculate the common denominator of v and 83\/94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l + 36 - 86 = 146 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/21*((-3)\/6 - 1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sids when four letters picked without replacement from ssdsssssi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 393000 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18171, 16453, 14735, 13017, 11299, 9581?\n\"Answer: -1718*y + 19889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j**2. Let h(f) = -1059 + 1059 - 5*f**2. Give l(h(i)).\nAnswer: -450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3265411179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 14.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 164*m**3 + 628*m. Let n(g) = 15*g**3 + 57*g. Let y(q) = -32*n(q) + 3*s(q). Find the second derivative of y(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 27. Let g be r(-9). What is the units digit of (-7 - -2) + g - (-8)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3054 = 2*a + 5*u, a = 313*u - 310*u + 1538. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -47*c**2 - 2*c - 2. Let k(m) = -147*m**2 - 7*m - 8. Give -6*k(s) + 21*t(s).\nAnswer: -105*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j*j**(-1\/3)*((j\/(j**(-5)\/j))\/j)\/((j*j*j**4*j)\/j))\/(j**2*j*(j*j**(-3))\/j*(j**(-2)*j*j)\/j**(2\/7)) assuming j is positive.\nAnswer: j**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 71*a - 4680. Solve -32*j + 19*j = a for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 73. Suppose -3*h + 3*i + 15 = 0, u*h = -0*i - 3*i + 13. Suppose h*p = 23 + 77. Calculate the remainder when 47 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145908 divided by 36477\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*j**4 + 2*j**3 + 261*j**2.\nAnswer: -6024*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g - 2*g - 12*g)*(-1 - 3*g + 1)*(-3 - 2 + 2) - 15*g**2 + 353*g - 353*g.\nAnswer: -222*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -27*x**3 + 7*x**2 - 157*x - 478. Determine p(-3).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**5 - 3*x**4 - 1945*x**3 - 2*x**2 - 4*x + 5 wrt x.\nAnswer: 240*x**2 - 72*x - 11670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 195\/2*l + 387\/4 + 3\/4*l**2 = 0. Calculate l.\nAnswer: -129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 186295744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108315?\nAnswer: 3, 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23 and 984977767?\nAnswer: 984977790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(931) - sqrt(931)) + sqrt(19) + 5.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308\/79 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487616*s**2 - 40 - 487606*s**2 + s - s to m*s**2 + v*s + z and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983055.\nAnswer: 3, 5, 131, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444114 is divided by 74018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117381?\nAnswer: 3, 11, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.03 + -0.03. Let r = s - 23. Which is the closest to -1\/4? (a) -1 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**21*y)\/y)\/y)\/y**28)\/(y**(13\/5))**14)**(-40) assuming y is positive.\nAnswer: y**1776","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8497881 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/4 + 1474505*n\/2 + 2174164995025\/4 = 0.\nAnswer: -1474505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78235716?\nAnswer: 2, 3, 13, 501511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -375267 + 4?\nAnswer: -375263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:50 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:40 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-1 + (-1 + -1 + sqrt(300) + sqrt(300))*-4)**2.\nAnswer: -1120*sqrt(3) + 19247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 + 2*q - 8. Let x(z) = -z**2 - z - 1. Let r(t) = -n(t) + 6*x(t). Let f be r(4). Solve 6 = 4*j - u, -4*j + 2*u = -f*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0599 - 0.9401. Which is the nearest to x? (a) -8 (b) 1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -7 + 27. Suppose 10*p - 3*p = 56. Calculate the least common multiple of d and (-9)\/(-72) - (-55)\/p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 14550*o. Let q(c) be the first derivative of 2*c**3\/3 + 2649. What is t(q(f))?\nAnswer: 29100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*w + 19 - 35, 0 = -3*w - 3*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2\/55, 0.12, 1?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 8*f - 1. Let i be (84\/8)\/(f\/2). Let m = -12 + i. What is the highest common divisor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffkfffkffffff. What is prob of sequence kfff?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 5*w - 5. Let m be x(-6). Let j = m + -63. What is the highest common factor of j and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132857 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2927\/388 - 20\/97. What is the common denominator of f and -17\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*p + 138 = -220*p - 54 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17951 + 17951 + 3571*i to the form h + j*i and give j.\nAnswer: 3571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0559 - -362.0559. Let t = 362.4 - d. Which is the third smallest value? (a) -0.01 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24980279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068967140?\nAnswer: 2, 3, 5, 7, 179, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) 1 (c) -0.08 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 756, 774, 810, 870, 960?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 4. What is s(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k - 3. Let y be w(-4). Suppose 1 - 6 = -y*l. Solve -2*g = 2*t, -4*g + 5*t - l = 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -9*h**2\/2 - 5*h + 251. Determine i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-45) + 32\/18. Let h(x) = -x**2 - 5*x + 2. Let y be h(-5). Solve -y*k + 18 = 3*k + w, v*w + 3 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.472 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unugg. Give prob of picking 2 g and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 28. Let k be 290\/35 + (-4)\/14. Suppose -5*p + k*p - 24 = 0. Does 10 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-2))\/(2*33\/(-88))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - j - 3*j**2 + 13*j**3 + 4*j**4 + 0*j**2 - 17*j**3 to the form w*j**4 + h*j + f + z*j**3 + t*j**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 944*k**2 - 317*k**2 - 358*k**2 + 18 wrt k?\nAnswer: 538*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1, 13, -5.\nAnswer: -5, -1, 3, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + (-3957)\/15. Let d be (3\/2)\/(2\/u). Calculate the remainder when d\/(-7) - 20\/70 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -58. Let g = 21 - y. Suppose 179 = 5*u - 2*q + 2, 3*u = -g*q + 103. Is 34 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(160) + sqrt(40))\/sqrt(4))\/(-1*sqrt(32) + -2*sqrt(8))*-3.\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -b - 3. Suppose 4*u + 3*y + 1 - 41 = 0, 5*y + 8 = b*u. Calculate the remainder when 14 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50040 divided by -12510\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -826\/23. Suppose -1738 = -3*u - 2*m, -3*u + 1737 = m + 2*m. Let z = 584 - u. What is the closest to -1 in a, 5, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 9*r + 60. What is a(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -65*v + 2. Let n(i) = 32*i - 1. Determine -5*n(o) - 2*w(o).\nAnswer: -30*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (116 + -66)) + 17 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - z + 66 = 3*z, -5*o = 2*z - 58. Suppose o*f - 10 = 10. Sort 0.4, 3\/4, f in increasing order.\nAnswer: 0.4, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 9*j + 0*j)*(-2 + 2 - 1) + (2*j - 2*j + 2*j)*(-6 + 1 + 1)*(0 + 0 - 2).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 21 = -2*f + 26, -5*f = 5*c + 5. Solve 3*v - 6*v = -6, f = 4*m - 2*v - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r**4 - 17*r**4 + 45*r**4)*(0*r - r + 6*r).\nAnswer: 55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*a - 2 + (-2*a + 3*a - 2*a)*(-4 + 3 + 2) + 288 - 146 - 149 + 4*a + 8*a - 8*a + 3*a in the form f + s*a and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 1514183580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 507\/(-258) + (16 - 13) and -49\/4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22330 and 880.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 29. Suppose 3*p = -y - 4*y - 1155, 5*y - 5*p + 1115 = 0. Let t be ((-3)\/(-2))\/(y\/(-16)). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(14\/21)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - (-9)\/3) + 5. Suppose -s*i = -0 - 9. Solve -3*a + 12 = -i*j, 0 = -3*j - 0*a - a - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179439101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 - 3*y - 1. Let x be (5 - 2)*11\/3. Let o(r) = -4*r - 13. Let d be o(-4). Suppose -5*k + 7 + 3 = -4*l, d*k = -l - x. Determine n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -514 + 521. Suppose -l = 6*v - 73. Solve -3*w = 4*t - 8, -3*w = -3*t - w - v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145791261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**3\/2 - 2*m. Let g(n) = -7*n. Let x = 3 - 7. Let k(t) = x*g(t) + 9*d(t). Let f(u) = 2*u**2. What is f(k(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/52 - 224\/(-273).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.57 + -6.5. Let x = -1.04 + -0.16. Let n = 0.2 + x. Which is greater: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 97. What is the remainder when b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 5*r**2 - 21*r + 30. Determine x(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 5) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*u**2 - 4*u + 7*u - 8*u**2.\nAnswer: 245*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1\/5, -2, 140.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*q + 171*q + 2*d - 31 = 0, -3*d = q - 22 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -5*d + 7*c + 16, d - 5*c = -16. What is the third biggest value in d, -97.6, -2?\nAnswer: -97.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17642997 divided by 1\nAnswer: 17642997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9*g + 184. Does 40 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 1\/3*t**3 + 0*t**5 + 0*t**4 + 0*t + 2*t**6 + 0*t**2 + 13. Find the third derivative of q(s) wrt s.\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -242\/5 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/24)*(m*m*m**(3\/13)*m)\/m*(m\/(m**(2\/11)*m))\/(m*m**(3\/4)\/m) assuming m is positive.\nAnswer: m**(4601\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(5) + 4)**2 + 0.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 99, 138?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-313.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1078 and 1500522.\nAnswer: 1501600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:22 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147779564 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2954289 and 5577.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5304 (base 9) to base 14.\nAnswer: 15c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-75)\/(4 - 7). Suppose -d - 1 = -v. Let g = 24 - d. Solve 3*s - g*u = -17, -u + 5 + 5 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 4, h: 6, j: 1}. Give prob of sequence jttt.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5800444 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-2)\/(-3))\/(10\/2265))\/(57\/1881) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -224530, -1796572, -6063550, -14372932, -28072186?\n\"Answer: -224578*c**3 + 4*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.21 * 269311.\nAnswer: -595177.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -369, -956, -1575, -2232, -2933, -3684?\n\"Answer: -m**3 - 10*m**2 - 550*m + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 46. Let g = 18 + b. Let a = g - 0.1. What is the third smallest value in -2, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 119272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343179972 is divided by 11833792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**30*y)\/y)\/y)**8*(y\/((y*y**31)\/y*y*y)*y)**(-50) assuming y is positive.\nAnswer: y**1798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*s + 23 = 0, 1350*y - 1341*y + 5*s = 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(700\/(-30))*2037\/(-108) and -17\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*b + 19 = 0, 4*s = 6*s - 5*b - 16. Let r = -15 - -18. Solve 5*i = -3*h - 1, -r*i + 2 = 2*h + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 252*b**2 - 2*b - 2. Determine v(1).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/14)\/((-18)\/140). Let a(v) be the first derivative of 5*v**4 + 5*v**2 - 2*v**5 - 2 - 2*v - u*v**3 + 1\/3*v**6. Factor a(i).\nAnswer: 2*(i - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 174 = -x, 0*x + x = -2. Suppose 2*s = 3*s - y. Suppose 2*l - s = -4*c, -4*c - 10 = c. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 864 - 859. Factor -1\/2*t**s + 1\/2*t**3 + 0 + 0*t - 1\/2*t**2 + 1\/2*t**4.\nAnswer: -t**2*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15846 divided by -178.\nAnswer: 7923\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(3*(-2)\/(-15)). Suppose -f*m + 0 = -5. Let l = -0.5 - -5.5. Which is the nearest to 0? (a) l (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8708282*r + 4616*r**2 + 0 - 4697*r**2 + 8708282*r + 0.\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/144 and 31\/11849628.\nAnswer: 142195536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-6))\/(31 - (-1638)\/(-54)). Solve 5*p - 17 = -3*y, a*y + 0*y + 5*p - 16 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 6. Let r be p(5). Suppose -r = -5*i + i. Sort i, -1, -3, 0 in descending order.\nAnswer: i, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 9*f + 3*r + 48, -42 = 2*f + 7*r for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*1)\/(-2*sqrt(5)*3).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5 = -5*p + p, -7 = 3*b - 2*p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9082 + 9520 + 7941 = -1397*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/8456 and 24\/5?\nAnswer: 42280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4742\/33 < -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/20126 and -45\/1421.\nAnswer: 986174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6654599 and 2851971.\nAnswer: 19963797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -3, 10780\/9, -2\/11, 2\/57?\nAnswer: 10780\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/2 + 131449*l**2\/2 + 4320695599*l\/2 + 64780861335\/2 = 0.\nAnswer: -65717, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * -0.073.\nAnswer: -0.000949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 20. Suppose b = 4*x - x. Suppose 4*d - 37 = -5*s, -s = s - x. Solve 3*a = -11 - 1, 4*l = -d*a - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96739 and 116?\nAnswer: 11221724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m. Suppose m = -6*i - 21 + 129. What is the remainder when 179 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = 63. Let p(b) = -w + 3*b - 10 + 10. Let f be p(7). Solve f*r = -4*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*m + 73*m = -2. Suppose 0 = -m*w + 10, -4*z - w + 92 = -21. Let l be 403\/3 + (-6)\/(-9). What is the highest common divisor of l and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227701350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -277, -617, -1093, -1705, -2453, -3337?\nAnswer: -4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1511390 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -65*z**4 + 14005*z**3 + 231395*z**2 + 445355*z - 690690 = 0.\nAnswer: -13, -46\/13, 1, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020544 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - 39*k**4 - 2*k**2 + 40*k**4 + 5*k**3 - 10*k as q*k**3 + p*k + a*k**2 + s*k**4 + j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**4*x**2 - 1129133*o**3*x**2 + o - 4952320*x**2 - x wrt o?\nAnswer: -60*o**2*x**2 - 6774798*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849, 848, 847, 846, 845, 844?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.982171 meters?\nAnswer: 0.009982171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617*t**3 - 2619*t**3 + 1074*t**3 + 3*t - 3*t.\nAnswer: -5162*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p + 6. Let k be q(-6). Suppose o = -3*o + k. Let f = -5 + o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s + s)*(-1 + 1 + s) - s**2 - 5*s**2 + 5*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = 2*s. Find y such that -12*y**s + 16*y**3 + 6*y**2 - 11*y**2 - 8*y - 11*y**2 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-6) - 3)\/(-1)*2. Is b equal to 1\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6802, -6743, -6684, -6625, -6566, -6507?\n\"Answer: 59*l - 6861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 508, -385, -2116, -4883, -8884, -14317, -21380?\n\"Answer: -33*w**3 - 221*w**2 + w + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 36. Suppose -2*w + 138 = 5*l, -l - v = -3*w + 158. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321960 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + n**2 + 1 + 0*n + 1. Let x be v(-6). Find the second derivative of 8*q**x + 0*q + q - 6*q**2 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798 is divided by 158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -667 + 361. Let s = u + 309. Factor 0*v**2 + 9\/2*v - 3\/2*v**s - 3.\nAnswer: -3*(v - 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3478 + 5096. Let k = -1618.0003108 + d. What is k rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/90 and 19\/1620.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 17*r - 7. Let y be z(-6). Let p = 523 + -353. Let a = y + p. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2. Suppose 0 = l + 5*w - 42, 2*l + 126 = 7*l - 3*w. Let c be (l\/18)\/(1\/(-2)). Give i(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5073*b + 2412. List the prime factors of z(-4).\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-4)\/(-14)) + (-4518)\/63. Suppose -3 = 4*k - k. Is 9 a factor of (g\/(-10))\/(k\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 6*r - 23*r - 9*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -124, -399, -942, -1843, -3192, -5079, -7594?\n\"Answer: -15*l**3 + l**2 + 5*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.027 (b) -4\/9 (c) -27 (d) -3 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10362657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 5, -1\/26, 0, 2\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 0.5.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-28))\/(250\/(-80)*4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c)**9*(c**(4\/7)*c)**(-15) assuming c is positive.\nAnswer: c**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33121 - 3?\nAnswer: -33130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017170 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 31*w - 11. Let i be a(3). Suppose -5*b + i = 5*c - 98, 2*b = c + 84. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Let z = -9.3 - -9.212. Let b = -0.088 - z. What is the biggest value in w, -0.29, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 2*t - 5*v, 3*t + 79 = -2*v - 26. Let r = t + 47. Suppose 8*y + 90 = 9*y. Calculate the greatest common divisor of r and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o**3)*(-3 + 0 + 4) + 0*o**2 + 0*o**2 - 2*o**3 + (-42*o + 52*o - 64*o)*(-6*o**2 + 3*o**2 + 0*o**2).\nAnswer: 158*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-13 - -122) + -107 - (-1 - 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2553*q + 850*q - 3*q**3 - 564 + 849*q + 857*q + 4*q**3 to the form a*q + x*q**3 + c*q**2 + p and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -21*r + 1. What is h(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201 (base 3) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = -v. Let x be (-6)\/(-15) - 13\/v. Find the second derivative of -24*r - r**5 + 37*r + 0*r**x + 0*r**3 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -15352 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/13 - 22*b**2\/13 - 35864*b\/13 - 35840\/13 = 0?\nAnswer: -128, -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(40)\/(-3*sqrt(8)))**2 - (sqrt(5) + sqrt(405) + -2) - 4*(-3*sqrt(25))\/sqrt(5)*-6.\nAnswer: -81*sqrt(5) + 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/6485, 1, 1\/10?\nAnswer: -2\/6485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236676 and 2112.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 4. Let v(x) = -6*x - 20. Let s(t) = 5*n(t) - v(t). Let r(f) = 3*f. What is -4*r(q) + 14*s(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -348533190 to the nearest one hundred thousand.\nAnswer: -348500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkpkk. What is prob of picking 2 k?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-399)\/14))\/(1\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10456444*c + 9571775 wrt c?\nAnswer: -10456444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 + 68 = 17*i. Let r(a) = -a**2 + a - 5. Let p be r(-4). Let y = 59 + p. What is the highest common divisor of y and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(72)*-4 - sqrt(72))*-1 + 0)**2 + (0 + sqrt(72) + sqrt(72) + -5*-3*sqrt(72))**2)*-1.\nAnswer: -22608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2 - 1 - 3*p + 1 + 2*p. Let h be j(0). Suppose -4*t + 14 = h*s, -3*t + 21 = 3*s + 2*s. Solve 2 = t*q - 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((3\/6)\/1). Suppose 9 + 33 = -y*l. What is the tens digit of 12\/10*(-2170)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11799*p - 11091*p + 35693*p - 9825*p + 3452 wrt p.\nAnswer: 2978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-28))\/(20\/70). Let r = -14 + 30. Let u = r - 12. Sort u, b, -3.\nAnswer: -3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - t - 15 = 0, 3*x + 10 = 4*x - 2*t. Suppose -3 = -x*p + 5. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c + 303. What is the remainder when 183 is divided by t(10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 21853?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 6. Let b(i) = -6*i + 11. Let r(w) = 5*w - 11. Let p(a) = 5*b(a) + 4*r(a). Let d(v) = 11*j(v) + 6*p(v). Let n(y) = -y. Calculate n(d(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -131*k + 530. Calculate n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 + 6*v - 31. Give f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/8)\/b)\/b**(-4\/3))**(-18) assuming b is positive.\nAnswer: b**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:30 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(90)\/sqrt(48))\/(-6*(sqrt(10) + sqrt(360))).\nAnswer: -5*sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-154)\/20 + (-1)\/(4\/12) and 29\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15212 (base 15) in base 3?\nAnswer: -10110020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0 - s**3 - 2*s**2 + 0*s - 1\/24*s**4. Let d(w) = -w**3 + 5*w**2 - 5*w + 1. Let t be d(4). Determine q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f = -62*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6371 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101479*b**3 - 7487*b**2 wrt b?\nAnswer: -608874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:31 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 955*u + 7960 = 0. What is u?\nAnswer: -8, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 782977.7 weeks in hours?\nAnswer: 131540253.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 481*m - 1 = 483*m, 0 = 4*t - 3*m - 74 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1628 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 820, 0, -6, -5 in descending order.\nAnswer: 820, 4, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/345325 and 187\/414390.\nAnswer: 2071950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16) + (-13 + -1 - -2 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67480066?\nAnswer: 2, 811, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6103.4mg?\nAnswer: 6103400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dunu when four letters picked without replacement from undnunnnnnnuuuunnnuu?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k + 2077 + 653 = 0. Solve -17 + k = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2453)\/7 - (-57)\/133)*2200\/5500\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggfggpgg. Give prob of sequence pf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12331646 to the nearest 100000.\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16098775, 32197557, 48296339, 64395121, 80493903?\nAnswer: 96592685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.09 (b) 20 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 71. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 6. Let d be i(-3). Suppose d = -8*y + 3*y + 10. Is 2\/3 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let a be q\/(3*(-2 + 3)). Let c(f) = 1 + a - 3*f - 2. Give c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 57*f + 744. Let s be w(-35). Let r(v) = 2*v**2 + 8*v + 3. Let g be r(-6). Let b = g + s. Solve 0 = 5*h - 3*l - 4 - b, 3*h - 3 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**8\/336 + k**5\/15 - 4*k**2 + 10*k. Let z(r) be the first derivative of i(r). Find the third derivative of z(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1766*v - 2966*v - 3559*v - 2023*v in the form b + l*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 639349.2um?\nAnswer: 639349200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - s + 3. Suppose 4*r = 11 + 1. Suppose -3*i = 4*j + 4, -i = -6*i + r*j + 3. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 29 = 5*t, -t + 0 = z + 5. Let j be z\/4 + 4\/16. What is the smallest common multiple of -12*(j - (-6)\/4) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 23. Let x be k(-5). Let g(v) = -v**3 + 11*v**2 - 11*v - 8. Is g(x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10857865, -10857862, -10857859, -10857856, -10857853, -10857850?\n\"Answer: 3*r - 10857868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35516727 (base 8) to base 7.\nAnswer: 123034501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25721 to the nearest one hundred.\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 11*l - 13*l + 50*l - 10*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.2 + -33. Suppose -k = -3*i + k - 6, -5*i - 3*k = 29. Which is the second biggest value? (a) x (b) i (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i + 67. Let o be s(-3). Find the second derivative of -67*t**5 - 39 + 41 - 6*t + o*t wrt t.\nAnswer: -1340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -411490 greater than -411489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i + 5. Let l be f(-4). Suppose l = -4*c + 9. Let q = c + 30. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61965603 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 104, 159, 218?\n\"Answer: 2*r**2 + 45*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 352.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 10. Suppose -3*d + a*d - 42 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 325, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*o**4 + 302873*o**3*t - 219383*t - 22 wrt o?\nAnswer: 24*o**3 + 908619*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 359*n - 1425*n + 349*n + 360*n + 2*n**4 - 2*n**3 + 354*n + 8 in the form r*n**4 + o + m*n**3 + w*n**2 + u*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/10 + u**4\/6 - u. What is the third derivative of g(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d**(-18))\/((d*d\/d**(-3))\/(d*d*d\/(d*d\/((d**(-16)\/d)\/d)))) assuming d is positive.\nAnswer: d**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2402, -2423, -2444, -2459, -2462, -2447, -2408?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 - 0)) + -205 + 210?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33021 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 - 1449505?\nAnswer: -1449499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 33 = -1. Find the common denominator of 58\/65 and 26\/78 + k\/(-60)*-542.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1654290 divided by -2970\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h - 3. Let v be (1*-14)\/(-2) - h. Let w be (-8)\/4*v\/(-4). Solve -w*o + 5*o = -2, -3*o = -m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/217 - -1081\/434. Let j = a + -3. What is the nearest to 1 in j, 3\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0813 + -5.\nAnswer: -4.9187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4937 - 0.4\nAnswer: -4937.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f + 6. Let y be l(-5). Suppose -11*p + 5*p + y = 0. Put -1, p, -5 in ascending order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6040.1 - -6543. Let s = -503 + w. Which is the closest to s? (a) -1\/6 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/29))**(1\/6) assuming w is positive.\nAnswer: w**(1\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, -4, -19, -50, -103, -184, -299, -454?\n\"Answer: -l**3 + l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053470601 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 6*w + 5*r - 135, 0 = 8*w + 3*r - 103 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -56, -2\/23, 5.\nAnswer: -56, -2\/23, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110211 - -143?\nAnswer: 110404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 436522914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -23 + (-155490)\/(-7446)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315 + 0?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2613481823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 2. Let z be h(-2). Suppose 0 = 3*n + 4*u - 4, 2*n + z*u = 6*u - 4. Solve n = -0*x + 2*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55338351?\nAnswer: 3, 29, 636073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 385.26 - 268.93. Let p = -245 + 362. Let l = p - k. Round l to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989637375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from ppppfpepaapanf.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 25*x**2 + 16*x - 147. Calculate p(10).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 + 240. What is the second derivative of -2*f - 104*f**3 + 41*f**3 + 80 + y*f - f**2 - 51*f**3 wrt f?\nAnswer: -684*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakaccikkicukikuauu. What is prob of picking 1 u and 2 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -280*m + 619. Is w(-39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 - 447*b**4 + 2328*b**3 + 2676*b**2 - 14880*b - 14784 = 0?\nAnswer: -154, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10955*s - 197194. Give c(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 minus -661.118748935?\nAnswer: 118.118748935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 540 - 494 - (2 - -28)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 7. Let v be x(9). Let p = 23 - -9. Calculate the highest common divisor of p and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0322 in 4, -1, -4, 15.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than or equal to 148\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - p**4 + 124784*p**2 + 2*p**3 - 2 - 124792*p**2 + p as k*p**2 + j*p + q + d*p**3 + s*p**4 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) - -57 - 0. Suppose 3*q = -5*g + 136, 2*q - s = -3*g + 23. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 34.4. Which is the nearest to 1\/4? (a) -1 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/64, -59.9, -4, 0.4, -0.2, -14, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m - 8. Let f(i) = i**2 + 6 - 6. Let v(p) = p**2 - 4*p + 4. Let h(w) = m*f(w) + v(w). What is h(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2745696 milligrams in grams?\nAnswer: 0.0002745696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144597053 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19505b5 (base 12) in base 7?\nAnswer: -63206246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.196252637 plus -18577?\nAnswer: -18575.803747363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3712466 to 3 dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8248 + 8263. What is the remainder when 761 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1218 - -1214. Are -89 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + 3*f, -3*f + 1 = 4*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 2*j - 15, -b + 20 = 2*j. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 11 = 2*g, -3*g - 9 = -4*j - 43. Factor 1\/5*l**g + 81\/5 + 18\/5*l.\nAnswer: (l + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492412?\nAnswer: 2, 19, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 112143373253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42193916 divided by 2.\nAnswer: -21096958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 131. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1))\/z**(-2\/13))\/(z**(1\/16)*z**(-10)) assuming z is positive.\nAnswer: z**(2723\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -23*g**2 - 6*g + 270. Let n(y) = -25*y**2 - 6*y + 274. Calculate 12*l(b) - 11*n(b).\nAnswer: -b**2 - 6*b + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*6\/72 + (-227)\/(-2). Suppose 21 = 5*z - j. Calculate the highest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -77*u - 16*u - 2 + 1. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/7)*b**(-3\/2)\/b)**(1\/20) assuming b is positive.\nAnswer: b**(-5\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 98482.5 nanometers?\nAnswer: 0.0000000984825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 0, u = -3*x - 6 + 13. Differentiate 2 - x - 2 + 4*h**3 with respect to h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 66, 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122801 is divided by 61366?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 0.2 (c) -8\/3 (d) 0.11 (e) -0.3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619390*w - 6*w**2 - 7*w**2 - 1619391*w - 5*w**2.\nAnswer: -18*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(950) - (sqrt(950)*-4 - sqrt(950))))\/(sqrt(50)*6 + 6*sqrt(32)).\nAnswer: 25*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 1, -13\/14, -2\/7, 0.1, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5*o - 3. Let q be s(3). What is the second derivative of 80*k**3 - 171*k**3 + 73*k**q + 10*k wrt k?\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*y - 9 - 11, 74 = 5*y - 4*k. Calculate the smallest common multiple of 8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-2 - 1 + 1)*(0 + f + 0)*((2 - 2 - 1)*(-2 + 2 + 2) - 3 - 1 + 2 + (-5 + 2 + 4)*(2 - 1 + 0) - 1 + 2 - 3).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -22, -3, 7 in increasing order.\nAnswer: -22, -3, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-11)\/6 - (-11333)\/42. Suppose 2*n = -n + 3*d + k, 4*n - 342 = -2*d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3432, -3329, -3160, -2931, -2648, -2317, -1944, -1535?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 431, 585, 753, 941, 1155, 1401, 1685, 2013?\n\"Answer: v**3 + v**2 + 144*v + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.0829124 and 281.\nAnswer: 274.9170876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y - 4. Suppose -24 = 2*z + 4*s, -s - 16 = 2*z - 7. What is the units digit of z\/y - 78\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 2*q**2)*(12*q + 18 - 18) + (-1 + 0 + 0)*(-4*q**3 - q**3 + 2*q**3).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*n**2 + 16*f*n + 1865*f + 86596*n**4 + 2*n wrt n.\nAnswer: 2*f + 1039152*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171)*-1 - sqrt(171)) + 0)*4 + -2 + sqrt(171) + 0 + 2 + 1 + sqrt(171))**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -19\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -33*f**3 + 6*f + 6. Let g(n) = -n - 1. What is 6*g(x) + z(x)?\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532 - 2*g + 532)*(-12*g - 8*g + 48*g)*(3*g**3 - 2*g**3 - 4*g**3).\nAnswer: 168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxx when three letters picked without replacement from dxddxxdxdxddxx?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 - 12?\nAnswer: -11.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/197, -5748, -4\/7.\nAnswer: -5748, -4\/7, -2\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -10\/9 (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c - 5. Let t be f(0). Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4333206 is divided by 3388?\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209)*2 - sqrt(209))\/(-2*sqrt(44)\/sqrt(4)).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - a. Let s(u) = 45*u**2 - 2*u - 2. Let i be s(-1). Let y = 46 - i. Give h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7570068?\nAnswer: 2, 3, 11, 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 570676 divided by 5?\nAnswer: 570676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**2 + 10*f + 90. Let o(u) = 5*u**2 - 4*u - 44. Calculate 2*c(s) + 5*o(s).\nAnswer: 3*s**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 96\/(-20))*(-105)\/2. Let n = 48 + k. Suppose -n*j + 3*j + 18 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2669357000 rounded to the nearest 1000000?\nAnswer: -2669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 16. Let o be n(-4). Let l be (-15)\/(-6)*4\/5. Suppose -2*i**2 - i**4 + i**4 + l*i**3 - i + 2*i**o - i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191762175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3393264, 3393220, 3393174, 3393126, 3393076?\nAnswer: 3393024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018451306 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 2. Suppose 3*q = 3*r + 18, -3*r = 7*q - 2*q + 18. Let f be l(r). Suppose 0*c = c - f. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 3*d - 342. Let o(y) = y**3 + 4*y**2 - 2*y - 7. Determine o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14380953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-54) - 2\/3. Suppose l = -2*m - m - 2*o + 20, -3*o = -12. Solve m*k - 2*n - 10 = -k, -5*n = -4*k + 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8425.237 litres to millilitres.\nAnswer: 8425237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99180335 and 6130.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 1. Let s(x) = -5. Let j(u) = u - 27. Let q(z) = -j(z) + 5*s(z). Determine 5*p(t) + 2*q(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:19 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -503*t - 236. What is the thousands digit of j(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxccccnxccfccccxxx. Give prob of picking 2 c.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 63*q - 634. What is f(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608851 is divided by 8052.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2 + 3. Let y be 0 + ((-14)\/(-2) - h). Is y less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - (6 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.656045ml?\nAnswer: 0.007656045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v\/((v*v**(-4\/25)*v*v)\/v))\/v*v))\/v)\/v)**(-10) assuming v is positive.\nAnswer: v**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644419.\nAnswer: 17, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -32.9\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125489481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*(-1)\/(-2)*1. Let w = 135 + -78. Let k = w + c. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -3*t. Let u(n) = 2*n**2 + 12*n + 2. Let f be u(-6). Suppose t*p = 13 + f. Let v(b) = -2*b. Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 - 232.202. Let d = j - -0.202405. What is d rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 16 (b) -1\/3017 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -14. Suppose 2*c = t + t - r, -4*t = -5*c - 2. Suppose 0 = 2*b - 4*p - 118, -t*b - 2*b + 295 = 5*p. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71766 and 177714.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 882*u**2 - 12714*u - 11830.\nAnswer: 2*(u - 455)*(u + 1)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*4*(-11)\/(-792)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -288236 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 72100000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -69.5. Let l = i - 4.4. Which is the nearest to l? (a) 0.1 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8377 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let q(z) = 2 - 3 + 4. Let i(s) = s - 3. Let r = 2 - 5. Let f(w) = r*q(w) - 3*i(w). Determine f(c(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 6963, 27859, 69653, 139311, 243799, 390083?\n\"Answer: 1161*b**3 - 1163*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 1. Let r(l) = 16*l + 4. Let j(x) = r(x) + 3*s(x). Give j(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696.503 times 0.07?\nAnswer: 48.75521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = -5*f, 0 = 2*z + 5*f - 48. Suppose 2*p - 5*k - 1 = -29, -4*k - z = p. Is -1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -15\/91, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(7) - (sqrt(7) + -2)*2)**2 + 3).\nAnswer: -31 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7869130 divided by -82.\nAnswer: 95965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442106 is divided by 3180.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74239 is divided by 256?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u + 3*l, 2*l - 4 = -4*u. Suppose 0 = 2*r - 0*r - 24. Calculate the smallest common multiple of u and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12310020 to the nearest 10000.\nAnswer: -12310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 86. Let n be 2\/4*(-1)\/(-2). What is the closest to -5 in -5, v, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269140.\nAnswer: 2, 5, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -3, 1\/5651 in decreasing order.\nAnswer: 1\/13, 1\/5651, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -537579970 divided by 5\nAnswer: -107515994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 98 = 2*v + 2*v, 2*r + 3*v + 37 = 0. Let t = -11 - r. Solve -5*y + 15 = -2*a, 0 = 5*y + a + a - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256480 and 12366?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -381230 and 6.\nAnswer: -2287380","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.961? (a) 2\/5 (b) 1 (c) -1\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**5 - 135*z**4 + z**3 + 2365*z**2 - 1.\nAnswer: 240*z**2 - 3240*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-341) + (-117364)\/3782.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 378.574 years?\nAnswer: 0.378574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:10 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3272, 12, 0, -17, 3, -23 in decreasing order.\nAnswer: 12, 3, 0, -17, -23, -3272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7442 is divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 32 = -8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -35*m. Let g(x) = -370 + 348 + 597*x**2 - 599*x**2. Calculate g(z(w)).\nAnswer: -2450*w**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5886272 to the nearest integer?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 + 4*m - 1. Give q(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 110?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 1349, 1356, 1363, 1370?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*i**3 - 10*i + 37*i - 27*i.\nAnswer: 723*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**7)*f**(2\/3)*f*f**(-2)*((f*f**8)\/f)\/f*((f\/(f**(1\/6)*f))\/f**(4\/5))\/((((f**(-4)*f)\/f*f*f)\/f)\/((f**(1\/7)\/f)\/f)) assuming f is positive.\nAnswer: f**(969\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -23376 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - b**2 - 55*b**3 - 3*b + b**4 + 57*b**3 + 2 to the form h*b**3 + t*b**2 + r*b + s*b**4 + z and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t - 1. Let p be m(-4). Let v = p + 10. Let g = 36 + v. Solve g + 0 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*m = -76 + 60, 5*m + 2 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -16\/1059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -631?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 663185250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 215. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4722a (base 15) to base 2.\nAnswer: 110111010100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-35 + 18 - (7 + -4))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21661250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - 135. Let p = 149 + w. Solve -2*j - 2*q = 12, 0 = -j + 2*q + p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 774*b**2 + 11386*b - 27. What is k(15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:29 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-4 - (-2 + 0)) + (179 - (143 + 44)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47740, -47764, -47788?\nAnswer: -47812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.808 - -0.192. Let h = -5\/21 + 4\/7. Let v = -31.9 - -32.2. What is the nearest to h in m, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.64 - 0.64. Let z = 13 - r. Let o = -2.99886 - z. What is o rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 33. What is the thousands digit of 128028\/(-47)*(3\/t)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174543560 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 271, 231, 165, 67, -69, -249, -479?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 16*m - 25. Calculate b(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 3, i: 2, g: 6, a: 6, r: 2}. Give prob of sequence rv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - m = -6*m + 18, 6 = 5*h - 3*m. Let n(c) = 0*c**2 + 5*c**h + 2*c**2 + 0*c + c - 2*c. What is the units digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 65*u**2 + 6*u - 3. Let c(s) = -136*s**2 - 10*s + 7. Determine -3*c(p) - 7*f(p).\nAnswer: -47*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c - 19 - 13*c + 24*c as m + o*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48896 + -30712438?\nAnswer: -30663542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + y**3 + 0*y**3 - y**2 - 24 in the form i*y**2 + x*y**3 + o + w*y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xby when three letters picked without replacement from {w: 1, x: 6, y: 1, b: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**6\/360 - b**5\/120 - b**4 - 7*b. Let i(q) be the third derivative of a(q). Let t(r) = r. Give i(m) + 4*t(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5222*w**2 - 10463*w**2 + 5244*w**2 + 1697*w to the form i*w**2 + b + m*w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yisi when four letters picked without replacement from yvgvisli?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.106 - -0.106. Let o = 0.4 - 0.2. Let l = 2.109 - 0.109. Sort l, o, y, -2\/9 in descending order.\nAnswer: l, o, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 5*u**2 - 2*u + 4. Let l = 7 - 10. What are the prime factors of m(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 29 - -11 - 19\/(-17)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j + 13. Let z be l(6). Let y = 80 + -143. Let b be (-4)\/(-3) - 1365\/y. What is the highest common divisor of b and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + (27 - 31) + (-3 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-828)\/(-240) + (-4 - 0). Let m = -1\/20 - k. Which is bigger: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -9916?\nAnswer: 23\/9916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6281 + -4?\nAnswer: 627c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 43947*v. Let t(f) = -2*f**2. Determine t(c(w)).\nAnswer: -3862677618*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybik when four letters picked without replacement from kcikkybckycfckycbcb.\nAnswer: 5\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, b: 2, j: 2, v: 1, l: 1}. What is prob of sequence gglg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/6)\/((-6)\/(-357)*33\/(-176)). Calculate the highest common divisor of n and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 20. Calculate the greatest common factor of 30 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, l: 5, h: 5, m: 1, n: 1}. What is prob of picking 1 l, 1 h, and 1 n?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.006 + 12.006. What is the closest to -2 in -2\/13, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 181*z**2 + 590*z - 452. Calculate p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 249*g - 592. What are the prime factors of k(13)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*a + t, 3*a - 1 = 2*t - 0*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -975976 times 0.5?\nAnswer: -487988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 1. Let y(z) = z**3 - z**2 - 7*z + 1. Let q be y(-2). Let n(t) = 16387*t - 6*t**3 - q - 16390*t + 0*t**3. Give n(i) - 3*w(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-72))\/(2\/(-12))*(-3549)\/182?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 3*c**2 + 5*c - 3. Let k be (-25)\/(-10) + 2\/4. Let w be j(k). Solve 0 = -0*b - 4*b + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7523.\nAnswer: 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 85 = -9*m. Let s(n) = -68*n**3 + 11*n. Let f(o) = 23*o**3 - 4*o. Let r(z) = m*f(z) + 6*s(z). What is the second derivative of r(b) wrt b?\nAnswer: -102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24957 divided by 3\nAnswer: 8319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -145*a + 3357. Let g be c(28). Is -3 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 10365?\nAnswer: 10370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5962.717nm in meters?\nAnswer: 0.000005962717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 1. Let b = 968 - 967.8. What is the nearest to -1\/2 in 0, b, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 3, -3\/2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -224, -433, -616, -761, -856?\n\"Answer: 2*n**3 + n**2 - 226*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32849?\nAnswer: 107, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 2\/3*r**3 + 1\/2*r**2 + 6*r + 0 + 7\/12*r**4. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9712*u**2 - 2764*u + 22358134 with respect to u.\nAnswer: -19424*u - 2764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + k + 3915 = 0, -2*k - 3919 = f + 3*k. Let v = f + 6853. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14275 - 199935\/14. Find the common denominator of w and -61\/1150.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356912515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Let t be s(0). Suppose t*b - 51 = -5*p, -p = -2*b + p + 58. Calculate the smallest common multiple of 4 and (-8)\/b - 256\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 23696667?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3349126*q**5 - 9*q**4 + 52*q**2 + 29347*q?\nAnswer: -200947560*q**2 - 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*j - 7433, n + 143*j = 146*j + 1837. Calculate the remainder when n is divided by 610.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 518881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*k + 3355 = 7*u, 2*u + 5*k = 2225. Calculate the common denominator of (-2)\/3 - (-1850)\/u and -34\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 8. Let j be m(-11). Suppose 5*c - 536 = -4*k, j*c + 3*k + 2*k - 319 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 231230?\nAnswer: -231234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 - 1042*z**2 + 16190*z - 15150 = 0. What is z?\nAnswer: 1, 15, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94357\/7 - 13432. Let w = -48 + t. Are w and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p - 81*p - 12*p - 926.\nAnswer: 3*p - 926","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:46 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 20. Let s be x\/8 + (-11)\/44. Let m be 6*(s - 0 - -3). Solve -w + m*w = 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 3*t = 0. What is the units digit of (0 - 1)*(-1 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -24*g + 2739, -240*x + 120*x + 460 = -124*x + 4*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1540 and 1694?\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/8 + 3\/(-6). Suppose 18 = 3*v - 5*k, -5*v + 2*k + 14 = -k. What is the first derivative of v - 3*w**x + 0*w**4 + w**4 - 2 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*d - 2*g + 92, -4*d - 5*g = -130. Suppose 0 = -2*q + 5*z + 33, -4*z - 6 - d = -4*q. Let t be q\/(-10)*(0 + 15\/(-4)). Sort 1, 4, t.\nAnswer: 1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 - 46*t**3 + 98*t**2 - 50*t = 0. Calculate t.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let y(h) = -2318*h - 1144*h + 1080*h. Determine y(m(c)).\nAnswer: 4764*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -193.5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2565*z + 4300 = -2651*z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 60, 74, 86?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/12*(-6)\/(-4) + 7 + 0. Solve s*b = 2*c + 7*b + 9, -3*c - 2*b + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7981582?\nAnswer: 2, 7, 570113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8120 - 55?\nAnswer: -8175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p)**47*p*p**(-5)*p*p*p*p*p**3 assuming p is positive.\nAnswer: p**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*o + 81244 = -1557*o - 332*o for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -83. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 - 115.77. Let g = 118 + a. What is the closest to g in -0.4, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 5. Let n be a(3). Suppose -2*b + 1 = 9, n*b = -3*f - 25. Is 51612\/54 + f - 4\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17941 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9 - (-25 - -8)) + -20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**9\/84 + 41*t**8\/336 + t**6\/30 + 943*t**5\/60 + 5004*t**2. Find the third derivative of v(c) wrt c.\nAnswer: 720*c**3 + 2460*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250.164 litres in millilitres?\nAnswer: 5250164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 4*g**4 + 15*g**3 - 8*g**2 + 2*g**3.\nAnswer: -4*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.3, -2\/2375, 3, -14, -6, 0.3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 3*l**2\/2 + 3171. Let d(a) = -262*a**2. What is g(d(s))?\nAnswer: -786*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 51 = -r + 5*r, 0 = -4*r + u + 33. Solve -4*m = -3*n + r, 4*m = -5*n - 2 + 17 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7128)\/(-1980)*10\/4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*o + 73, -4*k + 61 + 120 = 3*o. Let q(p) = 4*p**3 - 314*p**2 + 143*p + 1039. What is the remainder when k is divided by q(78)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 12*c**2 - 6*c - 13. Let d(j) = j**3 - 13*j**2 + 6*j + 15. Let q(b) = -6*d(b) - 7*w(b). Let v be q(3). Let r be -2*(-1 + 9\/2). Is r > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4295 = -446. Suppose n = 12*g + 1621. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 93576.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 19) + (3 + -1 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23 bigger than 1506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*f + 24, -3*i - 3*f - 36 = f. Do i and -12 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4180183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 1450 = -137*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 903 and 439804.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 106*t\/3 - 8.\nAnswer: (t + 12)*(9*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 17*i\/2 + 33.\nAnswer: (i - 11)*(i - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.76 times 3?\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -12 + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48639965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -1, 0.4, 0.2, -2670, 258?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34022030 to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/7 (b) -14.5 (c) -2\/15 (d) 3\/38 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21720 divided by -3?\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-4))\/((-80)\/320)*(-3)\/((-3)\/(-5))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8cda1 (base 14) in base 15?\nAnswer: 126b216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (12 + 1 + -17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Suppose 0 = 4*j - 4*v - 8, -v - 1 - 4 = -r*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (216\/60)\/((-6)\/(-80)). Let g = 378 - 342. Calculate the highest common factor of g and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7989235 is divided by 1588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-42) - 444\/777. Let q = 18 - 18.9. Let g = -0.92 - q. Put 1, g, w in ascending order.\nAnswer: w, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/9 + 746*w**3\/9 + 3427*w**2 - 3510*w = 0. Calculate w.\nAnswer: -702, -45, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -8. What is the lowest common multiple of 11 and 18\/4 + l\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(11)*2 + 5 - 5*sqrt(44))).\nAnswer: -8 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17760329, -17760328, -17760327, -17760326, -17760325, -17760324?\nAnswer: -17760323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7144179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6130, -12130, -18000, -23740, -29350?\n\"Answer: 65*s**2 - 6195*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*x = 28, -32 = 3*a + x + x. Let b be 9 + a + (-3)\/4. Let q = -3\/20 - b. Sort 4, q, 1\/4 in ascending order.\nAnswer: q, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-145*j - 36*j - 124*j) - j + 4 - 4 to w + y*j and give y.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 1. Let u be b(-2). What is the second derivative of -2*q**2 - q + u*q**2 + q**2 - 2*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1767 + 10697\/6. Let b = 150\/163 - 222469\/326. Let o = b - -711. Calculate the common denominator of o and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71985900, 71985903, 71985908, 71985915?\n\"Answer: p**2 + 71985899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.966 + 7.966. Sort z, 277\/3, 5\/4, -2\/9 in ascending order.\nAnswer: -2\/9, 5\/4, z, 277\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.82 and -161839567053?\nAnswer: 161839567051.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5 = 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/5)*m**(-2\/5))\/(m\/((m*m**35)\/m)*m*((m\/((m\/m**(-18\/7))\/m))\/m*m)\/m*m*m) assuming m is positive.\nAnswer: m**(1224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03882 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x + 6. Let b be q(5). Suppose n + 1 = 0, 2*i - n = -4*n + 3. Suppose 2*m + 2*m = -d - 9, -2*d = -i*m - 15. Solve 0 = -b*h + 3*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1926214.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -63, -89, -97, -81, -35, 47?\n\"Answer: u**3 - 45*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 27 + 15. Suppose 3950 = 4*n + i*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 45 = 128132*r - 128135*r, 0 = -4*r - 2*t - 52 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*c + 20 = 0, -c - 5 = -6*c. Suppose 483 = n*u + 2*z, -2*z + 98 = 2*u - 94. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 0 + 16*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27321049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2121622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 509*n - 29988.\nAnswer: -(n - 441)*(n - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18448 + -1.1.\nAnswer: -18449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/25)\/((-3)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13\/5 (b) 1\/3 (c) -30555.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f + 7. Let w(v) be the first derivative of -v**2\/2 + v - 260. Suppose -4*u - 32 = -104. Give u*w(c) - 2*z(c).\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmppwppnmpddmp. What is prob of picking 1 p and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 3*x**4 + 507*x**3 - 2847*x**2 + 5040*x - 2700 = 0 for x.\nAnswer: -15, 1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - (-33)\/6)\/(-10). Suppose 2 = -2*a - 4*y, 0 = 5*a + 3*y - 4 + 2. What is the nearest to a in -2\/15, 1\/3, v, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 17*h = -22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = 33*s - 30*s, 2*s = 2*z - 14. Let m(x) = x**3 - 10*x + 0*x - 4*x**3 - 4*x**2. What is the units digit of m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucctuccct. What is prob of sequence tu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1811999.7 milliseconds to weeks.\nAnswer: 0.00299603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 12*c**2 - 134*c\/5 + 192\/5.\nAnswer: 2*(c - 32)*(c - 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -88538 divided by -22?\nAnswer: 44269\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l - 3. What is r(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*k = 120 + 110, -4*k = 5*p + 286. Let i = p + 83. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7388.411 micrograms to kilograms.\nAnswer: 0.000007388411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {t: 1, u: 2, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3))**(-7)*(x**(2\/9)*x)**(-5))\/(((x\/x**(2\/21))\/x*x*x**(-7)\/x*x)\/(x**(2\/11)*(x*x**(-6)\/x)\/x)) assuming x is positive.\nAnswer: x**(-11204\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 880215 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 41. Suppose y + 0*o = 4*o + 8, 46 = 4*y - l*o. Let n be (8\/y)\/((-5)\/(-15)). Solve -3*i - 14 = -r - 8*i, -4*r = 2*i - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 23*o**2 - 6*o - 3. Let b be a(14). Let i = b - 429. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 12*j + 22*j + 100 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -10, 0.5, 8, 7\/8, 36?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.79 and 9.00779?\nAnswer: 8.21779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 0.5. Let y = o - -3. Let t = 66\/217 + -5\/31. Put y, t, 1\/5 in decreasing order.\nAnswer: y, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175.6491017 rounded to the nearest 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + ((-1 + sqrt(117))*2 + sqrt(117) + sqrt(117) - (1 + sqrt(117)*1)) - (-5 + -6*-6*-1*sqrt(117)))*4)**2.\nAnswer: 14976*sqrt(13) + 11389312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 60*y + 6. Let s(j) = -21*j - 1. Let n(o) = 3*s(o) + u(o). Give n(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486\/1825 or 1?\nAnswer: 486\/1825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 4*h + 4*h + 0*h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 3, -1, 13, 5\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7 - 6?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 72. Let i(c) be the second derivative of 2*c + 0 - 1\/90*c**5 + 1\/27*c**3 + 1\/135*c**d - 1\/54*c**4 + 0*c**2. Factor i(r).\nAnswer: 2*r*(r - 1)**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)\/(1\/1). Let c be (-100)\/(-14) + (-5)\/35. Suppose c*p - 60 + 18 = 0. Solve -w - w - p = r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b + 3*b + 5*v - 5, 4*b + 12 = -2*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -1\/3*w**2 + 1\/9*w**3 + 0*w - 6. Factor f(h).\nAnswer: h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 41. Let o be f(23). Suppose -y - o*w - 102 = 0, y + w = 2*y + 108. Let u = y + 245. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 - 8*v**2 - 17*v + 28. Give q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812171.\nAnswer: 367, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 37 - 27)*(-2 + 2 - 2*f)*(2 - 5 + 2).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 3*i = 32*w - 9*w - 92, -2*w = -2*i - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*i - 2*f**4 - 88*f**3*i - 5*f**2*i + 9*f*i wrt f.\nAnswer: -24*f*i - 48*f - 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 1265361304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:41 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + q - 117 - 62.\nAnswer: q - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7705\/1218 - 3\/406. Which is the nearest to o? (a) -4\/7 (b) -1 (c) 2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 79 = 3*z, -7*z - 81 = -4*z + 3*j. Let f = z + 29. Solve f*n - 4 = -4*n, 2*o + 5 = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.6. Let o = -0.7559 - 0.2441. Which is the third smallest value? (a) o (b) 4 (c) 1\/5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 32*p + 575. Let x be v(-18). Let w be ((-1)\/(-2))\/(1\/(-4)). Are x and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4) - -1)\/((-4195)\/(-570520)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 368516494 + 2?\nAnswer: 368516496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-5))*j)**(-5\/6)*(j\/(j*j**(-2\/19)\/j))\/(j*j*j**(-5)) assuming j is positive.\nAnswer: j**(-17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/4 + 2*y**2 - 3. Let b(l) = -4*l**2. What is b(d(w))?\nAnswer: -900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x + 98. Let r = x + 43. Suppose 3*z - k - 3*k + 49 = r, -5*z + 4*k = 79. Is -15 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 6*g + 11. Let x = 18 - g. Sort 5, -1, x in decreasing order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:24 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 148*q**2 - 103*q + 475. Is j(78) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/(-21)*18\/4. Suppose -w*n - 867 = -222. Let l = n + 92. What is the greatest common factor of l and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 3*w**2 + 4*w + 3. Let y be c(-4). Let r(j) = -2*j**3 + 5*j**2 + j + 13. Let v be r(3). What is the second biggest value in -3, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/6 - 5*i**5\/3 + i**3\/6 + 68*i**2. Find the third derivative of g(c) wrt c.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let f(c) = -2 - 5 + 6*c + 1 + 0 - c**2. Calculate the remainder when s(-3) is divided by f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-5 - -9) + 0\/1. Let w = 1 + -1. Suppose w = -p*b + 4*b + 290. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88223063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/5 - (-6)\/(-15). Suppose a = -v + 5. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 10*j**2 - 4*j + 12. Give l(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184413844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*k = 8*k + 64, 0 = -4*k - 4. Suppose -9*r = -c*r + 5253. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 201\/3746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4978620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 2*p + 4*z - 11538, -5*p + 28810 = 5*z. List the prime factors of p.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -37*v**2. Let s(k) = 63*k**2 + 39 + 32 + 28 - 99. Calculate i(s(y)).\nAnswer: -146853*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 121?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -148 and -148 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 72 = -9*d. Suppose 0 = 3*t - 183 - d. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.30324852 and -0.13.\nAnswer: -7.43324852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5491.6 + -8.\nAnswer: 5483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -5, -12 in descending order.\nAnswer: 4, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 0*c**2 - 2*c**2 + (0*c**2 + c**2 + 0*c**2)*(-1 - 1 + 1) + (-2*c + 5*c + 4*c)*(-2*c + c + 3*c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -11345?\nAnswer: 11350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from {d: 2, g: 2, m: 1, i: 1, k: 3, f: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t - 14 = -20*t. Is 1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -52, -3 in increasing order.\nAnswer: -52, -11, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -224*s**5\/5 - 1553*s**3\/3 - 2329. Find the third derivative of d(z) wrt z.\nAnswer: -5376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12162*m**3 + 5*m**2 - 5*m**2 - 5228*m**3 - 2312*m**3 - 2310*m**3 - 2311*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 569 - 1065 = 13356. Calculate the remainder when n is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78342 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)*z*z**(-34) assuming z is positive.\nAnswer: z**(-757\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 65 = -4*g - 7*a - 105, 0 = 4*a - 0 + 4 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 51*w\/4 - 45.\nAnswer: 3*(w - 3)*(w + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = -3. Find m, given that 2*m**3 + 2*m**2 + 3*m - 6*m**4 + 0*m**4 + l*m**4 - 5*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85753899 to the nearest integer?\nAnswer: 9260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 107*y**3 + 2*y**2 + 6*y + 1. Let c(u) = 536*u**3 + 11*u**2 + 33*u + 6. What is -2*c(p) + 11*z(p)?\nAnswer: 105*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r - 3. Suppose 28*i + 192 = 36*i. Let t be (6\/18)\/((-2)\/i). Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 w when four letters picked without replacement from {y: 14, w: 1, d: 2, n: 3}.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14827065 to the nearest integer?\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 278, -10 in increasing order.\nAnswer: -10, 0, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-4)*o*o)\/(o\/(o\/(o*o*o**(-5\/3)*o))))\/(((o**(-1\/4)\/o)\/o)\/(o\/(o\/o**(-3)*o*o))))**(-18) assuming o is positive.\nAnswer: o**(183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*y - 20, 0 = -3*y + m + 3*m + 30. Let i be 1\/y*(-1 + -3). Is -1\/10 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let r(p) = 146902*p**2. Determine v(r(h)).\nAnswer: -293804*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 12*r**2 - 16*r - 258. Determine b(-12).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-78))\/(-2)*(-21)\/(-21)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456789 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 72580 in ascending order.\nAnswer: -6, -5, 72580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 2*d - 2. Let l be n(1). Let v(y) = y - 7. Let x be v(6). Let q = l - x. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5, 41 = 194*h - 206*h - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*w + 13, 5*o - 3*w - 24 = -5. Let s(f) = -f - o*f - 2*f + 4*f. Let p(k) = -2*k**2. Give p(s(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7718 = -3*h - 1281, 10718 = 5*h + 2*p. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984689 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -4*t - 4*l, -90 - 275 = -5*t + 2*l. Let u = 78 - t. Suppose -n - a + 829 = -56, 0 = u*n - 3*a - 2667. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -96653510*g**3 + 31399*g**2 - 313990*g + 62798. Let x(u) = -9235*u**3 + 3*u**2 - 30*u + 6. Determine 3*b(r) - 31399*x(r).\nAnswer: 9235*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 611\/91 + (-4)\/(-14). Which is greater: s or 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = 4*k. Let o be (48\/(-15))\/(1\/k). What is the highest common factor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*k + 2*j**2*k**2 - 2*j*k**2 - j*k + 33*j wrt j?\nAnswer: 24*j**2*k + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 19 + 2. Let b be -3 + -1*(-2 + 6) + j. Let w = -43\/5 - -9. What is the nearest to w in 0.2, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five quarters of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -35. Let r(f) = 2*f - 14. Let t be r(6). Let d be (-2)\/(-1)*t - 6. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - c - 4, 0 = 2*v + 5*c - 4. What is the greatest common factor of 13 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 789*v + 313. Let l(w) = -197*w + 81. Let h(t) = -2*g(t) + 9*l(t). Differentiate h(f) wrt f.\nAnswer: -6*f**2 - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j + 1. Let r be z(-6). Suppose r = -3*y + y - o, 2 = -2*o. Let i = y - -11. Which is the biggest value? (a) 1\/2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6 (b) 4 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l. Let f be u(-2). Suppose -36 = 4*p - 72. What is the highest common factor of f and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -379032.\nAnswer: 4169352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 2486945*b - 2486946 = 0. What is b?\nAnswer: -2486946, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 79*a**2 - 1194*a - 13343. Determine g(50).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356296 is divided by 309.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*6)\/(sqrt(25)\/sqrt(5)*6).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + z. Let r be j(-1). Suppose -r = 2*x + 2*y - y, 1 = 3*x + y. List the prime factors of (-13 - -11)*(-2)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444832 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1810 - -1806. Which is the third biggest value? (a) -1\/5 (b) j (c) 359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -733101717*j**2 + 11811920*j + 20 wrt j?\nAnswer: -1466203434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 47*q**6\/24 + 13*q**5\/20 - 137*q**2 - 3*q. What is the third derivative of b(s) wrt s?\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0597543 to three dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6706729568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10034 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (4 + 1) - -8. Let k = -4.4 - -4. Let y = -0.3 - k. What is the third smallest value in 3, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**7\/2520 - 7*b**6\/720 - b**5\/24 - b**4\/6 - b. Let c(a) be the third derivative of s(a). Let j = 2132 - 2136. Give c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 6)\/54*-6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288873 is divided by 279.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -57966.\nAnswer: 1\/19322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*8\/(40\/(-3)). Let p(y) = -2*y + 11. Suppose -3*v = 4*l - 8, 0 = -3*v + v - 3*l + 4. Calculate the lowest common multiple of v and p(s).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 36 - 472. Suppose o = 2*g - y, 3*g - 2*o - 45 = 116. What is the remainder when -3 - (-3 + g*-1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011 - -11220?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11161, 22229, 33297, 44365, 55433, 66501?\nAnswer: 77569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10627339 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1 + sqrt(1872))*-3 + (sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 2*sqrt(1872)))*-2)))*6)**2 + -1.\nAnswer: 290304*sqrt(13) + 52840511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 312. Suppose 88*x - 80*x = 24. Suppose x*r + 0*r = q. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31461.01088 to the nearest 100.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - -2) + -2)\/(32\/(-192)). Let y(v) = -z + v + 5 - 13 + 5. Give y(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 30183*q - 911013489\/2.\nAnswer: -(q + 30183)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1205 and (-1)\/3*(234\/(-624) + (-1845)\/(-24)).\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 5*x + 7. Let b(n) = 4*n + 4. Let q(l) = 7*l + 7. Let g(i) = 5*b(i) - 3*q(i). Calculate 6*g(t) + z(t).\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(49))\/sqrt(7) - (sqrt(700) - (sqrt(700)*-1 + sqrt(700))**2*-3 - sqrt(700)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(-165) - (-10286)\/(-22). Let r = p - -464. Sort 8, r, 4, 0 in decreasing order.\nAnswer: 8, 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + 2.02. Let q = 144.763 + 0.237. Let o = q - 145. Which is the closest to x? (a) 1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n + 4. Let p(v) = -v**2 + 9*v + 4. Let k(h) = -2*p(h) + 3*u(h). Let q be k(6). Solve q*a = 6 + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, 128, 0.02 in decreasing order.\nAnswer: 128, 0.02, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-8) + 5320\/11200?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.664 - 12.664. Which is the closest to -1? (a) x (b) -2 (c) 1\/27 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-2\/9)*k*k)**(-2\/105)\/(k**(-1)*k*k**16))**(-39) assuming k is positive.\nAnswer: k**(197678\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.92507 and -0.3.\nAnswer: 1.477521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 - 302040*d\/13 - 604088\/13.\nAnswer: 2*(d - 151022)*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 5 + sqrt(272) + sqrt(272)*-2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**2 + 0*f + 1\/60*f**5 + 1\/12*f**4 - 2\/3*f**3 + 0. Calculate k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 11. Let u be 2\/(-7) - 30\/w. Suppose 4*o - 16 = 0, u*o - 23 + 7 = -3*n. Solve n = -5*p + a + a - 12, p + 3 = a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51 + 48*x + 61 + 4*x**2 + 28*x + 62.\nAnswer: 4*(x + 1)*(x + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9512 + 9487. Which is smaller: 1\/41 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001391779 rounded to six dps?\nAnswer: 0.001392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3 + 2. Let u(j) = -3*j**2 - 6. Let v(x) = 6*x**2 + 13. Let n(m) = 13*u(m) + 6*v(m). Determine n(f(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.1. Which is the third biggest value? (a) 5 (b) -9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 808459436.0000071 - 808459323. Let j = f + -113. Round j to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4961031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544248442 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 106.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(22)\/(sqrt(11)*1) + (-6*(0 + sqrt(128)))**2.\nAnswer: -6*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4220 - 214?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/6 - 1823*s**2\/3 - 93782*s\/3 - 404924 = 0. What is s?\nAnswer: -3594, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 5. Let c(l) = -l - 5. Let p(i) = 4*c(i) - 5*q(i). Suppose -u - u + 20 = 3*j, u - j = 0. What are the prime factors of p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27a + 7?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Suppose -13 = -3*z - 1. Suppose -6*p + z*p = -12. Solve -4*m = -p - b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -161\/4, 1\/6, -0.06, 2\/5, 0.31, -3\/4, -1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)\/(1\/(-7)). Let b(p) = p**2 - 6*p**2 + g*p**2. Let a(r) = -3*r**2. Calculate a(b(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4 = -x, n - 25 = 3*x. Suppose -5*z + k + 0*k = 17, k = 4*z + n. Let h = 6 - z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18486 divided by 18.\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.202+-3268\nAnswer: -3267.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 3 - 5*d**2 - d**4 + 1 + 4*d to v + f*d**2 + y*d**4 + i*d**3 + c*d and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6268, -6260, -6252?\n\"Answer: 8*o - 6276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.547 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241389 = -15*g - 126927 + 570423. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.2 + 7. Let o = j + -0.8. Which is the second smallest value? (a) -0.5 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 + 204 - ((-66)\/34)\/1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22 = -4*z, 4*z + z - 7 = -4*i. Suppose -9*r + z*r + 6 = 0. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 575 + -713. Let c be 10\/(-15) + w\/279. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 65. What is y(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8906148.\nAnswer: 2, 3, 247393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose c + 2*b = 6, 0 = c + 2*b + 2*b - 12. Factor 1\/4*l**3 - 1\/2*l**j + c + 1\/4*l.\nAnswer: l*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180) - sqrt(40)\/(sqrt(8)*-3))**2 + -3.\nAnswer: 76*sqrt(5)\/3 + 1814\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z - 12. What is the tens digit of 450\/21 + z\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-8 - 4 - -5) - (58 + -110).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 13 - 53. Let m = c - -22. Suppose -13 = -5*u - 3*g + 51, 2*u = 3*g + 34. What is the greatest common factor of u and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**3*q + 6193*l**2*q + l**2 - 5*l*q + 1308*q wrt l?\nAnswer: -42*l*q + 12386*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578959 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30253 + -4?\nAnswer: -30257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248.09844 rounded to zero dps?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17775154*0.1\nAnswer: 1777515.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y + 1. Let d be n(2). Let o = d + -2. Suppose 5*h + 3 = 4*h - 3*a, -o*h - 4*a - 15 = 0. Which is bigger: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 4*i. Solve i = 3*d - y + 3, 3*d + 3*y = 2*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h*t**2*w + 7*h*t*w**3 + 2*h*w**3 + 3*t**2*w**3 - 21358*t**2 - 6721*t*w**3 - 32*w**3 wrt t.\nAnswer: 74*h*w + 6*w**3 - 42716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, 2, -1.\nAnswer: -22, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18e2d (base 15) to base 3.\nAnswer: 11002212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/120 + o**5\/16 + 7*o**4\/48 + o**3\/8 + 9*o. Factor m(d).\nAnswer: d*(d + 1)**2*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4415, 4675, 5089, 5651, 6355, 7195?\nAnswer: 8165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 453 - 548 + 6*z + 95.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**3\/3 + 15*g**2\/2 + 22*g + 5. Let t be i(-15). Let s = 42 - t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3122 or -3121?\nAnswer: -3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 772*w**2 + 66323*w\/3.\nAnswer: w*(w - 2287)*(w - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59993765*h*o + 1447*o - 861 with respect to h.\nAnswer: -59993765*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-51 - (-37 + 17) - 24)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 7250000 - (1 - 0\/(-8)). What is f rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 1 - 1 + 5 - 2 + (2 - 3 - 1)*(-4 + 5 + 0) - 3 + 0 + 4)*(5218*u**2 + 4308*u**2 - 11508*u**2) to the form b*u**2 + q + x*u and give b.\nAnswer: -9910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2341 + 10?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 398 + -396. Suppose 21 = p*f - 149. Calculate the highest common factor of 68 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s - 17. Let t be y(-12). Let l(x) = -12*x**2 - 20*x**2 + t*x**2. Let f(u) = 0 - 20*u + 0 + 8*u. Calculate l(f(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s + 2. Let y be b(-4). Suppose -2*a = 5*r - 46, -7*a - y*r + 47 = -4*a. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3535 + -3431?\nAnswer: -11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.7287 less than 15389?\nAnswer: 14822.2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*(-28 - -22). Put -3, -1, z, -4 in increasing order.\nAnswer: z, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 27 = -31*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296929078*c - 130876771?\nAnswer: 296929078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1598*r**2 + 612*r - 612. Let q(o) = -21*o**2 - 8*o + 8. Let d(y) = 2*c(y) + 153*q(y). Let p(f) = -5*f + 2*f + 0*f. Give p(d(k)).\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/12 - 185*h**4\/6 + 245*h**3\/2 + 9*h**2 - 3*h - 31. Let r(u) = 0. What is u?\nAnswer: 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35331.2 and -655708?\nAnswer: 691039.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 k, and 1 g when four letters picked without replacement from {k: 2, g: 12, q: 3, j: 3}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Solve -6 = -3*a - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, b: 8}. What is prob of sequence dbd?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 11. Let a = k + 8. Suppose 10 = a*f - 5. Solve f*t - t = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-1\/2)\/((x\/((x**(2\/15)\/x*x)\/x))\/(x**(-5)\/x))*(x**(-2)*x)\/((x\/(x**(-1\/9)\/x))\/x)*x**(-1\/2)\/(x*x**(5\/2)) assuming x is positive.\nAnswer: x**(-4448\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 60*u + 108 = 0. What is u?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 26. Let z be r(-12). Let b(o) = -14 - 2*o**z + 3*o**2 + 0*o**2 + o + 13. Let n(u) = u**2 - 17*u - 171. Let q be n(-7). Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 168557409681 and -417.\nAnswer: 168557409264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 11:22 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 7 = -4*c, 2*c + 3 = -2*a + 9*c + 61 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h\/h**(-2\/27))*h*h\/(h*h\/h**(-6\/19)*h))**(1\/6))**48)**(-26) assuming h is positive.\nAnswer: h**(148304\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4378.157 - 4380. Let s = h + 0.043. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let m = -5 - -7. Suppose 2*j - 24 = -m*j. What is the greatest common divisor of g and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96392.9 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -51. Let k(l) = 2*l - 8. Let c be k(5). Suppose c*a - 4*a + b = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in centimeters?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -3276*o**4 + 259*o**2\/2 + 7*o - 1115. What is the second derivative of y(l) wrt l?\nAnswer: -78624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 105. Suppose -m*r - 10 = 4*q, -r = 5 - 4. Let x be (q\/6)\/(16\/(-192)). Solve -p = x*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393415507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 11) to base 3\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5 - 10 - 15 + 10 - 5*f + 9. Let a(c) = 17*c. Determine p(a(u)).\nAnswer: -85*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 3\/4, -3\/8, -0.2, -2\/5 in decreasing order.\nAnswer: 151, 3\/4, -0.2, -3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118523 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 185*o**3 - 45*o**2 + 156*o + 202. What is x(-1)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - j + 2 - j + 0*j + 3*j + (3 + 1 - 3)*(4 - 4 - 5*j) to the form l + t*j and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237500 (base 8) in base 12?\nAnswer: -571994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2790834 * -2.\nAnswer: -5581668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 8, -51, -152, -295, -480?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/103 - 1645\/309. Suppose 5*i + 2*q = q - 29, q + 4 = 0. Let f = h - i. What is the biggest value in 0.4, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123430 take away 49425767?\nAnswer: -49302337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, 407, -50\/67, 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4727, 9458, 14197, 18950, 23723, 28522, 33353, 38222?\nAnswer: 43135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 4*k)*(285 - 2793 + 223).\nAnswer: -2285*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**26\/p*p**(-1\/5)*((p*p*p**(-13\/7)*p*p*p*p)\/p)\/p**27 assuming p is positive.\nAnswer: p**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -2, 3\/4, 2\/13, 1\/5 in descending order.\nAnswer: 3\/4, 1\/5, 2\/13, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -2.8021. What is n rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1866993, 7467969, 16802929, 29871873, 46674801, 67211713?\nAnswer: 91482609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j = 3282 - 2748 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d**(-7\/3)*(d\/((d*d\/d**(-2\/35))\/d*d*d))\/(d*d\/(d\/(d*d**(5\/3))*d*d)) assuming d is positive.\nAnswer: d**(-706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 + 2*u + 1. Suppose v + 12 = 3*v. Determine y(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 15180?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 2*o**2 - 2*o. What is the remainder when c(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 22\/(-3))*12\/10. Put -67, 3, p in ascending order.\nAnswer: -67, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*l**3*r**3 - 277*l**3*r + 139*l**3 + 2*l**2 + 1009*l*r**3 wrt r.\nAnswer: 426*l**3*r + 6054*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + -5. Let v be (-4)\/j + (-19)\/(-7). Put 9, -5, v in decreasing order.\nAnswer: 9, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151268 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 + 432. Let g(u) be the third derivative of -1\/20*u**5 + 0*u + 1\/2*u**3 - 3*u**2 + 0*u**v + 0. What is the first derivative of g(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybb when three letters picked without replacement from {y: 5, b: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9764225 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 342 = -p. Suppose 7*d = 3*d - t + p, -4*d + t = -165. What is the smallest value in 3\/2, d, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.026? (a) 0.05 (b) 3\/10 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-24)*(96\/(-9))\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-3 + 2)*1. Suppose x = -2*x + 6. Calculate the lowest common multiple of 1\/2 - 17\/b and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -982 (base 14) to base 5\nAnswer: -30003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140138 and 656.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 3. Let u be t(4). Does 10 divide u + -14*9\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92112 and 20625412?\nAnswer: 7676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.25 + 17.2. What is b rounded to 1 dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2695 + -91.9\nAnswer: -104.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58463, 58327, 57941, 57179, 55915?\nAnswer: 54023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 - 245*i**2 + 61*i**2 + 92*i**2.\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtgwer. What is prob of sequence tggw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/120 - 9*m**5\/20 + 9*m**2\/2 - 13*m. Let i(r) be the first derivative of c(r). Find the third derivative of i(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*y**2 + 7*y**3 + 40*y + 13*y**3 - 26*y**3 + 8*y**3 wrt y.\nAnswer: 12*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.484 micrograms in kilograms?\nAnswer: 0.000000726484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -3 (c) -2\/3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 63) + 2*(3 - 4). Let d be 14\/j*-1 + 623\/(-9). What is the units digit of 23\/d*148\/2*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**2 - 2*p**2 + (-6*p - 57 + 57)*(-p - 6*p + 3*p) - 3*p**2 + 0*p + 0*p + 2.\nAnswer: 19*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 10. Let r be ((-42)\/9)\/((-4)\/6). Let j be t(r). Let a(s) = -s**2 - 4*s - 3. Let f be a(-3). Put 2, f, j in decreasing order.\nAnswer: j, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/5 + 14*k**3 - 477*k**2\/5 - 1168*k\/5 - 124 = 0. What is k?\nAnswer: -1, 10, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 12) to base 2.\nAnswer: 1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646570577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**(-4\/9)\/(i\/i**0)**17)\/(i**(7\/5)\/((i*i**(-5\/4))\/i))**(2\/49) assuming i is positive.\nAnswer: i**(-77407\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.456? (a) -2\/13 (b) -0.1 (c) -845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = 37*w + 85*w + 777 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -14. Let h = -33 + 13. What is the tens digit of 96\/t*135\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 207426 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134*r**2\/5 + 155641808*r\/5 - 4646024\/5.\nAnswer: -2*(r - 1161506)*(67*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*y - 11*y. Solve 3 = -3*z - 0*z - w, -2*w = 5*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 115. Let z = v + -21. Let u be 2\/((-4)\/(-6)) + 1. Put z, -5, u in decreasing order.\nAnswer: u, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -25\/14?\nAnswer: -25\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 30 = s - 8, 9 = -3*p. Suppose -5*h = -5*z - 205, -3*h + 0*h + 126 = -2*z. Let j = s + h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5293 = 61*l - 685. Solve 5*n - l = -9*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -32. Suppose -m = -4*r + 15. Let f = -17\/126 + -2\/63. What is the closest to -0.2 in f, -3, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 2*o - 3*o - o - 3*o**2 to g + r*o**2 + m*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5334.11 micrometers?\nAnswer: 0.00533411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337 by -3.\nAnswer: -337\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f**2 + 4 + 1 - 5. Let u(s) = -s**2. Calculate u(h(k)).\nAnswer: -361*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249?\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 - 0\/(1 + 1). Suppose -3*d + 42 = 51. Let w be ((10 - -2) + -4)*2\/(-4). Put d, w, j in decreasing order.\nAnswer: d, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73532, -73553, -73594, -73661, -73760, -73897, -74078, -74309?\nAnswer: -74596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13244 or 119207\/9?\nAnswer: 119207\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 9*h**2 + 5*h - 2. List the prime factors of z(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/42*(-6)\/(-63)*9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12025306*t**4 + 96308765*t**2?\nAnswer: 288607344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40063.21 millilitres in litres?\nAnswer: 40.06321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. What is the closest to -0.2 in g, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 88 = -b + 80, 14 = -5*a - b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**3 - 53*w + 66*w + 3*w**2 + 0*w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195100*g**2*t + g**2 + 302*g + 784*t wrt g?\nAnswer: -390200*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12\/2347, 3, -5, -7.\nAnswer: -7, -5, -2, -12\/2347, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-147)\/(-15) + 2\/4 + (-174)\/580. Solve n - 2*b - 4 = 0, -4*n - 4*b - l = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/61, -2067 in increasing order.\nAnswer: -2067, 2\/61, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o - 10. Let t(r) = -10*r - 12. Let c(m) = -6*n(m) + 5*t(m). Let p(q) = 0 + 0 + 4*q. Calculate c(p(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42249044.\nAnswer: 2, 10562261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27571380*m**6 + 526*m**2 - 102*m - 34 wrt m.\nAnswer: 3308565600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -5, -0.1, -2\/3, 0.004?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86940077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*p**3 - 34*p - 3*p**2 + 5*p**2 + 62*p**3 - 2 + 63*p**3 - p**4 in the form w*p**4 + i*p + m + v*p**2 + h*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 213 = 3*q, q - 2*q + 3*o + 87 = 0. Suppose 5*h + q = 2*a, 4*h = a + 3*h - 30. Is 25 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -61. Which is bigger: o or -2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-1\/52)))**30)**(1\/7))**(3\/2) assuming q is positive.\nAnswer: q**(-45\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1348260 and 22080.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from qkkqyjjjjqqjj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14. Let v be w + (3 - 0 - -2). Let j be (-2 + 6)\/((-8)\/4 + 8). What is the nearest to 0.1 in v, 3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from {d: 4, u: 2, i: 1, e: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14 - 260*k**2 + 794*k**2 - 213*k**2 - 211*k**2. Let y(c) = -22*c**2 - 3. Give 3*w(m) + 14*y(m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2857.7 and 3.\nAnswer: 8573.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -28. Let l = 1.5 + 2.5. Which is the nearest to z? (a) 3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.027 (b) 2\/5 (c) 3 (d) -137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((75\/(-525))\/(131\/(-7)))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((8 - 6) + 0 + 2 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 923.6409cm?\nAnswer: 9236409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/1344 - 49*y**5\/60 - y**4\/8 + 103*y**2. Let f(g) be the third derivative of n(g). Let p(u) = -2*u**2. Give p(f(l)).\nAnswer: -450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13256703 and 5.\nAnswer: 13256708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 4.9. Let w = -2240 - -2238. Which is the biggest value? (a) 24\/17 (b) n (c) 0 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 810c2327 + 2?\nAnswer: 810c2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 89*b - 1 - 23 + 31 + 1103*b to j + n*b and give n.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -19\/6, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + -1 + -4 + 1. Let g be 2\/(-12)*r\/(-6). Suppose -4*o + 12 = 4*x, 5*o - 3*x - x = -21. What is the second biggest value in -0.1, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v - 16 = 0, -3*i - 4*v = -28. Calculate the smallest common multiple of 5 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1410\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320274982.\nAnswer: 2, 19, 8428289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((2 + sqrt(2057) + 2 + -4*(sqrt(2057)*2 + sqrt(2057)))**2 + 1)*-3 + -3) + -1.\nAnswer: -2904*sqrt(17) + 746744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 2*s**2 - 3*s - 5. Calculate the remainder when 19 is divided by z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.1 - 10.9. Let r = z - -47. What is the nearest to 3 in 0.2, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 535*u**2 + 550*u + 1080 = 0. Calculate u.\nAnswer: -108, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 4*c, -54 = -5*t + 3*c + 22. Let j = 29 + -37. What is the remainder when t is divided by ((-30)\/10)\/(6\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1acf (base 16) in base 6?\nAnswer: -51435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40926 divided by 122.\nAnswer: 20463\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*f - 12, 2*l - 5*l + f = 0. Let b = 41\/6 - 193\/30. Let r = -2.9 + 3. What is the closest to r in l, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/849404 and 14\/5895?\nAnswer: 38223180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33569434621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76764764 and -21750?\nAnswer: 76743014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:51 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1373 at most as big as -1329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -23*w**2 - 2. Let o(b) = -28*b + 97. Give o(v(y)).\nAnswer: 644*y**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7115 divided by -22\nAnswer: 7115\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 1)*(-593*n**3 + 1196*n**3 - 588*n**3) + 4*n**3 - 8*n**3 - 2*n**3 to the form h + l*n + k*n**2 + x*n**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 35*l**2 + 70*l - 33*l - 54*l. Let j(o) = -12*o**2 + 13*o + 7. Let k(z) = -6*z**2 + 6*z + 3. Let c(n) = 6*j(n) - 14*k(n). Calculate 6*b(u) - 17*c(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-251)\/(-2) - 4\/(-8). What is the highest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2. Let j(z) = 16*z - 6*z + 3*z. Calculate j(o(l)).\nAnswer: -117*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 1. Let i(z) = 5*z - 2. Let v(w) = -3*i(w) + 4*y(w). Let d be v(3). What is the third derivative of c**2 + c**5 + 5*c**2 + c**5 - d*c**2 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5246 + -36724\/7. Which is the second biggest value? (a) -1 (b) -2\/3 (c) v (d) 0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c - 1\/30*c**5 + 9\/2*c**2 + 4 + 0*c**3 + 1\/8*c**4. Let h(d) be the second derivative of w(d). Calculate h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 + 225*z**2 - 459*z + 461. Determine o(-47).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -410322 and -410320 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 9*y - 11*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 - 130600*m**2 + 310753572*m - 192211483824 = 0. What is m?\nAnswer: 1263, 30124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33 + 13)\/(-20))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 643 + 439 = -82*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15491609 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) + -2)*-6 + 3*-2*sqrt(3))**2 + ((3 + sqrt(27))*6)**2*3 + -2.\nAnswer: 1632*sqrt(3) + 4487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6221973?\nAnswer: 3, 1091, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let y(v) = 8 + 936*v + 18*v**2 - 936*v. What is y(h(n))?\nAnswer: 72*n**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 12983*n + 12983*n - 1238*n**2 + 1 in the form m*n**2 + i*n + w and give m.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/(-48) - 3\/(-9) and 24\/(-66240)*-1990 + (-2)\/3.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*s + 42, 3*y + 16 - 75 = 4*s. Suppose 5*i = 5, -4*i = 3*q - 0*i - 16. Suppose 0 = -5*o, 2*a + q*o - 19 = y. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/4))**5\/(x\/x**9*x*x*(x*x*x*x*x*x**(-12\/11)*x*x*x)\/x) assuming x is positive.\nAnswer: x**(279\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -115. Let w be ((-10075584)\/(-15) - (-9)\/(-15))*m. Let h = -12771705 - w. Round h to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 20. Let p = -95 + 109. Suppose 51*i - 53*i + 28 = 0. What is the lowest common multiple of s(p) and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + 2. Let i = 92 - 99.3. Let d = i - -7. Which is the third biggest value? (a) n (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (-7 - 6 - (-3 - (4 + 17)) - 2)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2677030881?\nAnswer: 3, 7, 23, 5542507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(5) - ((sqrt(5) - (sqrt(5) + sqrt(45))) + sqrt(5))))\/(sqrt(18)\/(1*sqrt(2))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 62*u**2. Let y(c) = 17*c + 5288. What is y(q(a))?\nAnswer: 1054*a**2 + 5288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 96. Suppose 3*i = -0 + p. Let d = i - -12. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiiijziiiieijii. Give prob of picking 1 i and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let h(t) = 0*t - 3*t - 6 + 2*t**2 + 3*t. Let u(g) = 2*g**2 - 7. Let v(f) = 6*h(f) - 5*u(f). Determine -3*p(w) - 2*v(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**3 + 17*o**2 + 3*o + 254. Is p(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-33)\/1353)\/((-3)\/2). What is the nearest to -0.1 in c, 1, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1668965611\/596391040 + -4\/931861. Let g = u + 1\/640. Calculate the common denominator of 2 + 105\/33 + -2 and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.182, 5\/3?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1089*a**2 + 11874*a - 176. Calculate l(-11).\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 2*g**2 + 2*g - 3*g - 115*g**2 - 64*g**2 + 92*g**2 + (0 - 4 + 3)*(2*g**2 - 4*g + 4*g) to the form f + l*g**2 + v*g and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-574)\/588 - -1)*(14\/8 - 0).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105998839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/48 - 49*f**3\/24 + 6*f**2 - 22*f + 1. Suppose a(j) = 0. What is j?\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/10*(-3 - 419) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = 73*z - 91*z. What is the remainder when 1217 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 3.03. Let t = -10.125 - -10.025. Which is the third smallest value? (a) h (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 3*w + 3. Let m(b) = -9*b**2 - 7*b - 5. Let p(s) = -3*m(s) - 5*r(s). Let n(y) = y. Calculate n(p(g)).\nAnswer: 2*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -14*o - 13*o + 4*o. What is the greatest common factor of o and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 4*a**4\/3 + 74*a**3\/3 + 18*a**2 - 81*a + 77. Let f(g) be the first derivative of d(g). Suppose f(v) = 0. What is v?\nAnswer: -9, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1497 in -39, -0.3, 1\/5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**5 - 5*b**3 - 7*b**2 + 6*b + 4. Let j(a) = -8*a**5 - 34*a**3 - 50*a**2 + 42*a + 28. Let x(r) = -6*j(r) + 44*z(r). Factor x(t).\nAnswer: 4*(t - 2)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -7*t - 63. Which is the nearest to 0? (a) t (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 11*p**2 - p - 5. Let x = -52 + 41. Let h be a(x). Let c(d) = 2*d + 26. What is the units digit of c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/120 - k**5\/20 - k**4\/8 - k**3\/3 + 5*k**2\/2 - 5*k. Let i(a) be the first derivative of h(a). Determine i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434186.79 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -933*a + 11822. Calculate w(13).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiilililw. Give prob of picking 1 l and 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 310?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 8*f**2 - 8*f - 20. Let v be a(6). Suppose v*c + 257220 = n - 5*n, 128580 = -2*c + 4*n. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2680602, -2680484, -2680366, -2680248, -2680130, -2680012?\n\"Answer: 118*i - 2680720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395058, -395079, -395100, -395121, -395142?\nAnswer: -395163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -156 - -29 - (4 - 14). Sort -1, x, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4976769721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + 1663.833.\nAnswer: 1740.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + 9*u - 3*u + u**2 as y*u + v*u**2 + g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 117*h**3 - 3*h**2 - 7*h + 5. Let l be i(9). Suppose -5*z + 3*z = -l. Suppose -2*y + z = -0*r + 5*r, -4 = 2*y. What is r rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 41. What is the remainder when u(19) is divided by ((-8)\/10)\/(4\/(-90))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5838, 23329, 52478, 93285, 145750, 209873, 285654?\n\"Answer: 5829*o**2 + 4*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1111*n - 951*n + 7680 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1078*z**3\/3 - 5787*z**2\/2 + 8416*z - 2. Find the first derivative of i(h) wrt h.\nAnswer: 2156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.032 * 0.01\nAnswer: -0.01032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95132 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in -0.5, -5\/4, 2, -1.68?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 - -8)) + 11 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 6*y - 16*y as l + w*y and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 99 = -3*n, n - 4*c = 4*n + 114. Let r = 81 - 26. Let i = n + r. Calculate the smallest common multiple of i and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 8 = -2*p - 2*r, 0 = -2*p + 5*r. Put 10, -1, p in decreasing order.\nAnswer: 10, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - 853*c - 846*c + 1682*c - 50. Calculate the lowest common multiple of a(-4) and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i + 3. Let y(t) = -97*t + 110*t + 54*t + 55*t + 104*t. Calculate y(w(o)).\nAnswer: -1808*o + 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0507 - 60964.\nAnswer: -60963.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.7 (c) -0.02 (d) -5 (e) 0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24225657?\nAnswer: 3, 8075219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 65282?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12*6)\/((-215)\/30 + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:20 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-72))\/((-20)\/(-65)*104\/464)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) 1\/4 (b) -40243 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 41*q = 0. Let p be (-5 - (-51)\/12) + 51\/(-12). Put p, -21, q in descending order.\nAnswer: q, p, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((1 - 5)\/4). Solve y = 3*p + 4*s + 6, -4*s = 2*p - s + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 24, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.1676, -148, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 - 1. Let y be x(5). Let j be (y\/3)\/(2\/(-18)). Is 59\/3 - (-1)\/j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -19\/3. Let z = -0.0838 - -5.5138. Let f = z - 0.43. Which is the smallest value? (a) -4 (b) u (c) -5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3734, 7465, 11198, 14933, 18670, 22409?\nAnswer: 26150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3 + 3 + 2*q - 1. Let z = -107 - -116. Suppose 0 = z*r + 33 + 21. What is w(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 8*f**3 - 4*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 + (-17)\/(289\/(-221)) and 101?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/5)\/(r*r*r**(-2\/17)) assuming r is positive.\nAnswer: r**(-262\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:28 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 715 (b) 1 (c) -3 (d) 7 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4409161*t**3 + 1747*t**2 + 922*t + 2?\nAnswer: 26454966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1*(sqrt(108) + 3))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = 24. Suppose 0 = -5*i + 3*k - 21, 0*k = -2*i - 3*k. Put m, i, -5 in increasing order.\nAnswer: m, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16000 and 9\/4000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*b - 3*b**2 + 12*b + 99*b + 35*b as o + v*b**2 + f*b and give f.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 7*j**5\/20 + j**4\/12 + 71*j. Determine c, given that x(c) = 0.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -974 + 931. Put 0, -2, 4, k in descending order.\nAnswer: 4, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2232795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 11 + 33 + 68 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let h be 3\/s - 3\/(-6). Solve 0*i = -h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1193*q + 1188*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3134, 0, 4.\nAnswer: -3134, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*l**2 - 284*l**2 + 9*l + 6*l + 143*l**2 - 14*l - l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 102?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17739496 and 2620.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1097, 2666, 4123, 5462, 6677, 7762, 8711?\n\"Answer: -i**3 - 50*i**2 + 1726*i - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(187) - sqrt(187))\/(-3*sqrt(22)\/sqrt(2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/9693 and 127\/616044.\nAnswer: 5544396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*k - 13159 = 19874 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-51 + 158 - 50 - 58 + 10583*y).\nAnswer: -10583*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 39280116?\nAnswer: 39280116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 64*u - 5. Is o(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 60. Suppose 0 = -5*m - 3*j - j, -2*m + 4*j = a. Let o be 2*-1 + 1 - -2. Put m, 3, o in ascending order.\nAnswer: m, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79501986 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 greater than 1751\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -90*(27\/(-2))\/9. Suppose -5*f + 147 = -2*k, -5*k - h + 31 = -4*f. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -721\/17 - -19025\/459. Calculate the common denominator of m and 41\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = 13*q + 126 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -264, -404, -544?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 89e (base 15) to base 9\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 5, 990224 in ascending order.\nAnswer: -6, -5, 5, 990224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*a + 16 = 0, 2*a - a - 3 = 0. Suppose -u*f + 35 = 3*l, 5*f - 31 = -2*l - 1. Let v(y) = -3*y**2 - y - 2*y**2 + f*y**2. Calculate v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let b = -2 - m. What is the closest to 1 in -4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*d - 45 + 39, -2*r - 28 = -4*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -129. Let u(b) = -b**2 - 25*b - 119. Let p be u(-22). Is g smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((1 - -4) + (136 - 138) - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 27*b + 86 = 28*b - 111, -2*m - 3*b + 31 = 0 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 2. Let g be q(-9). Suppose g = -0*l - l. Let c = -17 - l. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -103?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-10))\/((-3)\/(-15)). Let s be (6\/c)\/((-1)\/249). Suppose 3*z + 2*x - s = 0, 0*x - 29 = -z - x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231203130200 (base 4) to base 9.\nAnswer: -24420785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/30 - 3\/9. Solve -2*o - i = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 278572?\nAnswer: 13371456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3242*s + 3267*s = -4*f + 96, 0 = 5*s + 3*f + 116 - 133 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.9. Which is the nearest to d? (a) 0.4 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11101?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g + (1 - 22 + 2)*(-55*g + 5*g - 3*g))*(-2 + g + 2).\nAnswer: 1008*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/(4*8\/(-64)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12552.831 months to decades.\nAnswer: 104.606925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 139 - 19*y + 14*y - 139.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 506787341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 + 3795*r - 123250 = 0.\nAnswer: 34, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhggwaa. What is prob of sequence mg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 205329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 25*f - 45. Suppose 0 = -f*b + 7*b - 2. What is the tens digit of -4*b\/8*186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67830652 and 24?\nAnswer: 406983912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7806*l**2 + 27993*l + 24762.\nAnswer: 3*(l + 2)*(2602*l + 4127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdzbifbfbfhb. What is prob of sequence hi?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 4\/5 (c) -3\/5 (d) 2 (e) 4 (f) -103868\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.4. Let z = o + -31.6. Let s = z + 30.8. Which is bigger: 7\/5 or s?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57\/7, 2\/7, 0.2, 11 in decreasing order.\nAnswer: 11, 2\/7, 0.2, -57\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 15.9. Let s = y - -0.4. Which is the closest to 2\/3? (a) s (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -334 - -333.7. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -8. Let v(o) = o**2 + 4*o + 4. Let p be v(-4). Let y be (-15)\/d - 2\/p. Solve -6 = -3*a - 6*g + 3*g, a + 7 = y*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 230084?\nAnswer: 230088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2022, -2037, -2078, -2157, -2286, -2477, -2742, -3093?\n\"Answer: -2*i**3 - i**2 + 2*i - 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 10. Let a = 12 + h. Solve -9 = 4*i - 1, -16 = -a*k + 3*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + sqrt(931)*2 + sqrt(931) + -1 - ((sqrt(190) - 2*sqrt(190))*-2)\/sqrt(10))*-6*-3)**2.\nAnswer: -21384*sqrt(19) + 6704208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44221 (base 6) to base 9.\nAnswer: -8364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 26) + 7 + (-2 - -12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -7333782097.\nAnswer: 7333782094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -13. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -51, -70, -97?\n\"Answer: -4*l**2 + l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 29*u + 84. Let f be b(-4). Solve 26 = -203*p + f*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -116. Let x = 50.02 + j. Which is the third smallest value? (a) 3\/4 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 9*c**2 + 8*c - 16. Does 12 divide k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -32. Let v = -47 + c. Let f be 2\/(-4)*(-4)\/22. Do v and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -38 (c) -2.9 (d) -0.4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2304) - 4*sqrt(2304)))\/((sqrt(48) - -1*sqrt(48))*6).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 - 240998880*w - 481997744 = 0.\nAnswer: -60249718, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-1 - sqrt(68))*5)\/sqrt(4))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1623264 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1282674 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110100212 - -30?\nAnswer: 110100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by (6\/(-15))\/(4\/(-330)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + d - 157 = -154, -14*o = 3*d - 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352417 (base 8) to base 15.\nAnswer: 783b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:18 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z**2 + 5*z - 3. Let f(j) be the third derivative of -j**5\/5 - j**4\/6 + j**3\/3 + 859*j**2. Give 3*f(g) + 2*u(g).\nAnswer: -10*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)*y**29 assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(45) - (0 + sqrt(720))).\nAnswer: -15*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 234*r - 286. Let d(a) = -a + 1. Let s(x) = -1144*d(x) - 4*n(x). Let v(z) = 23 - 47 + 50*z**2 + 24 - 48*z**2. Determine v(s(m)).\nAnswer: 86528*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 3}. What is prob of picking 1 z and 1 d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 2. Let q(b) = 5 - 3*b - 8 + l. Let x(z) = z**2. Give x(q(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12123245 - 0?\nAnswer: -12123245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.87 times 0.004?\nAnswer: 0.01148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226\/3 - -76. Factor 2\/3*q**4 - k*q**2 - 2\/3*q**3 + 2\/3*q + 0.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 48*r + 2976. Calculate d(-58).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4334 + 738 = -5*t + 4*y, -3595 = -5*t + 5*y. Suppose 5*q - 21*k + 20*k + t = 0, -2*q + k - 288 = 0. Do q and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3588.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5) - (-18)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -9221 (c) -47 (d) 1\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxffllflfnn. What is prob of sequence nn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 492 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 6, -14, 91 in descending order.\nAnswer: 91, 6, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l - 4. Let r be m(1). Let j be 2 - (42\/r - -6). Find h such that -j*h**2 - 1\/5 + 2\/5*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 48 = -5*i, 2*i - 30 = -4*c. Sort i, 3, 0 in descending order.\nAnswer: i, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/50? (a) 2\/7 (b) 17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 215516.\nAnswer: 646548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkkrbkrkrei. What is prob of picking 1 l, 2 r, and 1 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6233 + -847.9767. What is v rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + 13 + -1)*(-5)\/(30\/(-9)). Suppose 7 = 4*t + g + 2, 4*t - 2*g - 2 = 0. Let w = 0.8 + -1. Which is the nearest to t? (a) f (b) w (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80501 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.92 + 0.02. Let i = m + 3.9. Suppose -2*n - 4*x + 18 = 0, 0 = -5*x + 9 + 11. Which is the second biggest value? (a) n (b) 3\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/6 + 5*i**2 - 2*i. Let x be p(6). Suppose x*r = 7 + 21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 + 208 = 25*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 42 = -14*p. Calculate the common denominator of 2\/p - (-690)\/504 and -57\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18511 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1049473\/22 + 47700. What is the common denominator of 1\/470*43\/(-2) and u?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 7 + s - 2*s**4 + 8 + 2*s**4 to the form m*s**2 + q + p*s + i*s**3 + j*s**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74856 by -11.\nAnswer: 74856\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h + 67. What is u(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1976\/101603?\nAnswer: 1976\/101603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a572 (base 11) to base 8.\nAnswer: 67733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -1080, -3777, -9014, -17637, -30492, -48425, -72282?\nAnswer: -102909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 5*l**2 - 6*l - 10. Let f(s) = -5*s**3 + 6*s**2 + 6*s + 12. Calculate -5*f(w) - 6*y(w).\nAnswer: w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706818231.\nAnswer: 3, 7, 17, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11674? (a) -2\/11 (b) 3\/2 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 909?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238439446 divided by -1?\nAnswer: -238439446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/10)\/(10\/40*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1 - 2*g + 0*g + 3*g + 0*g. Let q(a) = 7. Let c(p) = 7*m(p) + q(p). Let s(h) = -h. Determine s(c(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17924891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1008 (b) -1 (c) 27\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 0, 3*y - 88 = 3*s + 110. Let m = s + 129. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 14 + -12 + 3 + 0 + 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + g - 2 = 0, -5*g - 16 = 4*w - g. Let z be (-40)\/(-18) - (w - -4). Let h = 53\/21 - 13\/7. Which is the nearest to h? (a) 0.3 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1 = 2*y + 2*y + 1, 11 = 4*f + 5*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-4)*28\/(-35). Suppose -p*b + 20 = -b, 0 = u - b - 7. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + u)*(-5 - 1 - u + 3) + 3*u**2 - 4*u**2 + 3*u**2.\nAnswer: 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7598*w - 1235. Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1897141, 1897139, 1897137, 1897135, 1897133?\n\"Answer: -2*c + 1897143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153209 is divided by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.504 + -8851206.4\nAnswer: -8851200.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 7788\nAnswer: -778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 9*t + 6. Suppose -4*w = 5*q - 8891, -t*q - 3*w + 3554 = w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4 + 16770*n**3 - 3455501*n**2 + 175617960*n + 365192100 = 0.\nAnswer: -2, 105, 16562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-5\/2)\/(x**(2\/7)\/(x\/x**(2\/7))))**(19\/3) assuming x is positive.\nAnswer: x**(722\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -4 + (23 - 3) + -30\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 times -3?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3274 - -3278. Solve 10*d - 9*d = 3, 0 = -g*k - 4*d + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*p + 20, p + 5 - 9 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:10 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05628 + 52.05628. Which is the fourth biggest value? (a) 0 (b) f (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 490. Let k = l + 391.8. Let g = 3 - 0. What is the second smallest value in g, k, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -32.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 82651.7956.\nAnswer: 82651.8956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 79 = n, 2*b + 3*n - 85 = 0. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 34632070.\nAnswer: -13\/34632070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*d**3*p*s*z - 1656*d**3*s*z - d**2*p*z - 43*d**2*s + 2*d*p + d*s + 2*s*z wrt d.\nAnswer: -132*p*s*z - 9936*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 20*q + 9. Let h(z) = 11*z + 12. Let p(g) = -5*h(g) + 4*l(g). Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9239190 divided by -5\nAnswer: 1847838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14537 is divided by 725?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 6*l - 13. Let u(a) = 2*a**2 - 3*a - 7. What is -6*i(z) + 11*u(z)?\nAnswer: 4*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7396*-11114.\nAnswer: 82199144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530208 (base 9) in base 6?\nAnswer: 104531525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 3, -1483, -3, 5 in decreasing order.\nAnswer: 5, 3, -3, -4, -14, -1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 984\/141697 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243*g**4 + 384?\nAnswer: 972*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 4, 22, -2.\nAnswer: -125, -2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*q**2 - 140*f - 34*q**2 - 2 wrt q?\nAnswer: 4*f*q - 68*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24500, 97974, 220432, 391874, 612300?\n\"Answer: 24492*n**2 - 2*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.76382l to millilitres.\nAnswer: 9763.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07718366 * 2\nAnswer: -0.15436732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + 3 + 50\/40*4. Solve 0 = -5*m + 3*c - 2, 2*m - j = 3*m - 2*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 22*i**2 - 52*i. Give p(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let l = -5 + 10. Differentiate -4*n + 1 + l*n - 2*n**q - n with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.97 - 0.03. What is the biggest value in 2228, z, -4?\nAnswer: 2228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-4))\/(77\/12 - 6). Suppose o*d + 9*d = -2880. Which is smaller: -191 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 29*v**4 + 18620*v**3 - 30*v**2 - 24 + v - 18619*v**3 to the form z*v**4 + a + o*v**2 + t*v + i*v**3 and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2876512, 2876506, 2876502, 2876500?\n\"Answer: n**2 - 9*n + 2876520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(31 + -36)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*o - 25, -3*o = 4*b + 42 - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.081723643 to 2 dps.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162 + 162 + 53*x**3 + (x - 2*x - x)*(-x + x - 2*x**2).\nAnswer: 57*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1919.117997 to 1 dp.\nAnswer: -1919.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 minus -2150936490?\nAnswer: 2150936497.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2178381, -2178402, -2178423, -2178444, -2178465, -2178486?\n\"Answer: -21*g - 2178360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26689 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (245\/(-60) - -4) + (-1)\/(-3). Let u(k) be the first derivative of -4\/3*k**3 + 0*k + 2 - 1\/2*k**2 - f*k**4. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.019.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 211469567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 7*r - 5. Let d be c(-8). Suppose 4*q - d*q - 4 = 0. Let u be 2\/9 - q\/18. Solve -2*x = 5*f + 10, -4*f + u*f - 6 = 2*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l. Let h(d) = 0*d**2 - 2*d**2 - 3*d**2 + d**2 + 4 + 4*d + 8*d**3. Let y(j) = h(j) - 6*z(j). Factor y(s).\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439082, 439083, 439084?\nAnswer: 439085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 4*k**2 + 2*k**2. Let x(v) = -18*v + 11*v - 4 + 4. Determine x(o(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(405) - (sqrt(405) - -2*sqrt(405)*-2) - (sqrt(405) - (sqrt(405) + 2 + 1*sqrt(405) - sqrt(405)) - sqrt(405)))*-1)**2 + 3.\nAnswer: 180*sqrt(5) + 10136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 12:51 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/807, 0.3, 5.8, 12\/13 in increasing order.\nAnswer: 1\/807, 0.3, 12\/13, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*p**3 + 95*p**3 + 6*p**6 + 16*p**2 wrt p?\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 43. Let r be d(17). What is the highest common divisor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 16, -2, -34, -3, 263 in decreasing order.\nAnswer: 263, 16, 5, 2, -2, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4102344 - 2?\nAnswer: 4102342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.5 + -6.1. Which is the nearest to -1\/4? (a) t (b) -1\/2 (c) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27452795 and 2690?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58695164, 117390324, 176085484, 234780644, 293475804, 352170964?\nAnswer: 410866124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 22*o - 354 = 12*o, 137*t = 142*t + 2*o + 47 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**4 + 0*q**4 + (-q**3 + q**3 - q**3)*(-3*q**2 + 3*q - 3*q) + 28534 - 368*q**5 - 28534.\nAnswer: -364*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702.89659 rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -214. Let q = 2.02 + -0.02. Let k = 97\/2 - 49. Which is the second biggest value? (a) q (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12. Let x = -0.922 + 0.322. Which is the fourth biggest value? (a) -0.5 (b) -2 (c) x (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s = -61*s + 110. What is the closest to -0.1 in s, -5, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 17*z**2 + 17*z - 13. Let p be l(16). Suppose 0 = 4*x + 5*b - 13, p*x - 2*x = 4*b - 2. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 = 4*a + 5*o, 4*a - 5*o + 1049 = 329. Let w = a - -329. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + 51\/15. Suppose -2*h + 1 = -q. Let m = 6 + 1. What is the smallest common multiple of m and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/1*6\/(-9). Let p(g) = -5 + g + g + d. Let r be p(-5). Let h(t) = 1. Let l(z) = z - 3. Determine r*h(u) - l(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/16569 and (-20964)\/720 - -28 - 2\/24?\nAnswer: 82845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/8 - 5*p**2. Let z = -4 + 7. Let v(f) = -z*f**2 + f**2 + 4*f**2. Calculate w(v(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031141010 (base 5) in base 12?\nAnswer: 2851167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1789213 and 3?\nAnswer: 5367639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90788*m**3*q**2 - 7*m**3*q + m**3 - 20*m**2*q**3 - 122*m - 2*q**2 + 348*q + 1 wrt q?\nAnswer: -181576*m**3 - 120*m**2*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3465)\/(-14))\/(-45))\/((-4)\/64*-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-seven quarters of a microsecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*2\/1. Let z(i) = 5*i**4 + 32*i**3 + 50*i + 6. Let a(x) = x**4 + 1. Let u(o) = t*z(o) - 6*a(o). What is the second derivative of u(s) wrt s?\nAnswer: -12*s**2 + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, m: 1, h: 2, z: 1, q: 2, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7753223 is divided by 3742?\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -8*k + 120. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aon when three letters picked without replacement from {o: 2, n: 3, a: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-23 - (-11 - 11))) + 6 + -2 + -115?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34083195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*l - 37*l**2 - 8*l**2 + 10*l**2 + 47*l**2 in the form f + z*l**2 + k*l and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14476 by -27.\nAnswer: 14476\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**3 - v**2 + 10*v + 12. Give w(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69983 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2 - -4) + (-108)\/2. Let p = a + 54. Factor -12*f**3 - 3*f**4 + p - 15*f**2 - 6*f + 0.\nAnswer: -3*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 16) to base 14\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -342628*s**3 + 906633*s**2.\nAnswer: -2055768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2\/2 - 192*v - 134235\/2 = 0.\nAnswer: -157, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -18\/7 (b) -2\/3 (c) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2608.376.\nAnswer: -2609.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -21*x - 7. Give z(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/58 (b) -6\/5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 234*x**2 - 9582070*x + 163796 = 0. What is x?\nAnswer: 2\/117, 40949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 0 - 6) + 205. Suppose 0 = 4*f + 5*i - o, -3*i - 120 = -2*f - 13. Calculate the greatest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 - 2*j**4 + 8*j**4 - 5*j**4. Let x(y) = -2*y**4 - 3*y**3 - 3*y**2 - y - 1. Let s(n) = 5*u(n) + 5*x(n). Factor s(m).\nAnswer: -5*m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 8*r + 98. Let i(l) = 3*l**2 + 2*l + 7. Let w be i(-2). Let q be b(w). Let y(d) = d**2 + 7*d - 1. Calculate y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/10 - 17*y**4\/36 + 11*y**3\/18 - y**2\/3 - 3*y. What is x in q(x) = 0?\nAnswer: 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 + -7 + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*x + 64. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 + 3*n**3 - 2*n + 3*n**3 + 8*n**3 + 22*n**4 in the form y*n**4 + c*n**3 + s*n + h*n**2 + f and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(5\/2 + -1). Let h = m - -6. Let s be 1\/7 + 220\/28. What is the greatest common divisor of h and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2895 and 980.\nAnswer: 567420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z - 4*h + 83 = -39*z, 21*h - 437 = -2*z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/720 and 109\/8640?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 21*j + 40 = 0. Let r(x) = -x**3 + 9*x**2 + 11*x - 10. Determine r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-51) + 1131\/221. Suppose -a = h*p - 39, -p = 9*a - 5*a - 251. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29461900 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 + 2*t + 1. Let k be b(2). Let r = -2 - k. Suppose -41 = -3*i - 11. What is the lowest common multiple of i and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 8 = 0. Suppose 0*p + 8 = -f*p. Let s = -1 - p. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 18. Let q be 1 - j - (-22 - -5). Solve -5*b - q = -9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -2)\/(1\/28). Suppose 3*h + 3*h = 48. Calculate the greatest common factor of h and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47509*p**2 - 47542*p**2 + 142563*p**2 - 47512*p**2 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 9286*t + 938600.\nAnswer: -(t - 9386)*(t + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19796.95 rounded to the nearest 10?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -128, -458, -1346, -3068, -5900, -10118, -15998?\n\"Answer: -46*b**3 - 3*b**2 + b - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 + 3307*n - 49380 = 0.\nAnswer: 15, 3292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(80) + (sqrt(80) - sqrt(80)*3))**2 - (-2 + (sqrt(80) + -6*(sqrt(80) + 0))**2).\nAnswer: -1922 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uge when three letters picked without replacement from {u: 1, e: 2, g: 2, v: 1, h: 1, o: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.3920263 nanoseconds?\nAnswer: 0.000000000039867105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109249 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 14. Let x = 9 - -4. Let i be a(x). Solve 0*o - 1\/4*o**3 - 3\/4*o**2 + i = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + 1*sqrt(105) - sqrt(105) - sqrt(105))\/sqrt(3) + sqrt(560)*6)\/((sqrt(126)\/sqrt(2)*-2)\/(6*sqrt(225))).\nAnswer: -360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1332 + -1332.2. Which is bigger: r or 2\/121?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 459 = p, 6*p - 1409 = 3*p + s. Differentiate -p*q**2 + 23*q + 469*q**2 - 72 - 18*q**3 - 23*q wrt q.\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1592 + 3019. Is n a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 30 = -5*k, 18*k + 3*n - 745 = -802 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 7:47 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfg when three letters picked without replacement from {f: 1, g: 1, a: 2, s: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*u**4 - 8*u**2 - 563*u.\nAnswer: -456*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, v: 1, a: 1, n: 1}. Give prob of picking 1 t and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/27 (b) 1 (c) 4 (d) 485 (e) -1 (f) 0.113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.6 - 0.4. Let a = 27 + s. What is the smallest value in a, 0.3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42176 is divided by 370.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39317377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(-3*l + 2*l - l)*(-2 + 0 + 5) + l - l - 2*l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130626787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2 - 3518*m + 3520 = 0?\nAnswer: -1760, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374836958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 6\/5*d + 9\/5*d**4 + 0 + 21\/5*d**2 + 24\/5*d**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17820, 31710, 45600, 59490?\n\"Answer: 13890*a + 3930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14709025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-10) - (-2)\/(-10). What is the units digit of -1 + z - (-5 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/25, -0.4, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14141633 and 56566532?\nAnswer: 56566532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2103*j**3 + j**2 - 4*j - 3. Let l = 118 - 80. Let h = l - 39. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 675 - 668. Let i(d) = 237*d**4 - 3*d + 64. Let x(g) = -474*g**4 + 7*g - 130. Let l(t) = p*i(t) + 3*x(t). What is the first derivative of l(f) wrt f?\nAnswer: 948*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:36 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from llrl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78762238 to the power of 1\/2, to the nearest integer?\nAnswer: 8875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuzzzuzzuuuu. Give prob of sequence uzu.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**1\/(k**(2\/5)*k*k*k*k*k**(1\/3)))**(-30) assuming k is positive.\nAnswer: k**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4267 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114 - 3379 + 1134 - 3*s + 1091.\nAnswer: -3*s - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1235458 divided by 2\nAnswer: 617729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126824 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Let x(b) = -2*b**2 + b + 3. Let g(t) = -10*t**2 + 6*t + 16. Determine v*g(r) - 11*x(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67992 by -2.\nAnswer: 33996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108b (base 13) in base 9?\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 27. Let q be p(-5). Let x = 84 + q. Let y(t) = -t**3 + 11*t**2 - t + 18. Let o be y(x). Solve -4*b - o = b + u, -4 = -b - 2*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.953 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3\/3 + 58*a**2\/9 - 4*a\/9.\nAnswer: 2*a*(a + 2)*(15*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**8\/560 - m**7\/50 - 7*m**6\/100 - m**5\/50 + 3*m**4\/8 + 9*m**3\/10 - 13*m**2. What is d in t(d) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 9561 - 9561.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.166 - 0.034. Let k = q - -12. Sort 5, -5, k in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 967 and 464?\nAnswer: 448688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**7\/5040 - v**6\/480 - v**5\/120 - 16*v**4\/3 + 11*v. Let r(p) be the third derivative of z(p). Suppose r(n) = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f = 42*f - 325. Let s(q) = -q**3 - 26*q**2 - 17*q + 200. Let b be s(f). Determine c, given that c**2 + 0*c + 4*c**4 + b - 3\/2*c**5 - 7\/2*c**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259371 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(2 + -4) + 0. Suppose -3 = -4*k + c - 11, 5*c = -f. Put 0, 3, k in ascending order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -32*l**2. Let f(x) = -3*x**2 - x - 8. Determine f(q(m)).\nAnswer: -3072*m**4 + 32*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/49 + 360\/(-42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8 - (897\/12)\/(-13).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 12831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280468159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5481, -11074, -16649, -22206?\n\"Answer: 9*l**2 - 5620*l + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 57*o + 35.\nAnswer: -57*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 162. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -10, -41, -108, -223?\n\"Answer: -2*g**3 + 7*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + 0 + -7. Let k(q) = 2*q**2 + 10*q - 3. What is the tens digit of k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-6)*n**(4\/5)*n*(n**4)**(34\/3) assuming n is positive.\nAnswer: n**(632\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/5 (c) -5.1 (d) -4 (e) -2 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-39)*1339\/(-206).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) -76 (c) -5 (d) 2 (e) 0 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((9\/2 + 3)\/(-3))\/128 and 250\/4*42\/2310.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 - 79*x**2 + 28*x + 273. Calculate m(-13).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/2904)\/((-9)\/24).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*a = 24, 3*d + 3*a - 4*a = 72. What is the tens digit of (d\/(-5))\/(6\/(-160))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 + 0 = -4*u, 3*u + 5*l + 25 = 0. Suppose 3*z - 3*g - 42 = -9, z + 4*g - 31 = u. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 44, -4, -37\/5, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6123)\/(-12) + (-50)\/(-40). Let i = -510 + v. Let n = 0.3 + -1.7. Which is the third smallest value? (a) i (b) n (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 11*d + d. Is 3 + d\/((-36)\/9760) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6397 is divided by 118?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6a34 (base 16) to base 5\nAnswer: 1332223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 28*v**2 + 23*v + 120. Give c(27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/13203 and 31\/15151176?\nAnswer: 136360584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 44. What is the smallest common multiple of 4 and 216\/k + 4\/22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756, -1755, -1762, -1783, -1824, -1891, -1990, -2127?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.753 rounded to zero dps?\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from gkwtuuz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 116 + 64 = 0. Let s be 10\/o - 2\/(-9). Suppose 3*v + s = -2*r + 91, r + v - 48 = 0. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -46. Suppose p*g = 15*g + 15000000. What is g rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168326627611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 33981*o + 339823. What is z(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, y: 1, g: 1, q: 1, b: 1, t: 1}. What is prob of picking 1 e and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r + 93*r**3 + 100*r - 88*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11119750 and 950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39202759, 78405520, 117608281, 156811042?\nAnswer: 196013803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2238477616 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 2*f**2 + 10*f + 0 - 2\/45*f**3 - 1\/450*f**5 + 1\/60*f**4. Solve a(x) = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 436.\nAnswer: -435.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(40\/(-15)))\/((-6)\/(-64)). Let b be (0 - 10)\/((-2)\/l). Calculate the greatest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 2 (b) 1\/25 (c) 5\/4 (d) 0.2 (e) 9\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/4)\/(75\/60). Find the third derivative of 22*g**t + 0*g**2 + 18*g**6 - g**4 + 25*g**2 wrt g.\nAnswer: 2160*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -12*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 - 11a6318?\nAnswer: -11a6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5944, -156, 1 in ascending order.\nAnswer: -156, 0, 1, 5944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*1)\/(21\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 8*h + 630. Suppose -4*i - 28 = -0. Calculate the remainder when h is divided by (-61)\/i + 6\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 730*h + 11515. Give g(16).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 + 22*f**4 + 26*f**3 - 28*f**3 + 2 to l*f + a*f**4 + k*f**2 + m + n*f**3 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Factor -a**2 + 6*a**4 + m*a - a**4 - 5*a**2 - 3*a**4.\nAnswer: 2*a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 - 250*a - 252 = 0. Calculate a.\nAnswer: -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/72 and 113\/1686492?\nAnswer: 3372984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c - 19. What is b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.139 + 1.959. Let l = k - 1.9. Let a = 0 - -2. Is a at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -96.17511041 and -155.483.\nAnswer: -251.65811041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6351 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366053431 rounded to four decimal places?\nAnswer: 0.3661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 66386221?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w + 5. Let h be x(6). Let m(j) = -j - 10. Let i be m(h). Put 3, 4, i in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2.9. Let i = j - 0.9. Let c = 1.1 - i. Round c to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27781 - -16918625\/609. Let v = r - -31075\/2436. Find the common denominator of v and -23\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Suppose g + 20 = p*g. Find the second derivative of j**g - 2*j - 3*j**4 + 5*j wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*o\/(((o\/o**(-2\/7)*o)\/o*o)\/o))))\/(o**7*o))\/(o\/o**1)**(5\/6))\/(o\/(o\/(o\/o**(-3\/2)))*o*o*o*o*o**(-6)*o*(o**1)**(-8\/3)) assuming o is positive.\nAnswer: o**(-257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 - -0.52965. Round l to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001001101001 + -110111111?\nAnswer: -110000010000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 5*s**2 - s + 6*s**2. Let j = 1743 - 1742. What is n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g**3 - 5\/12*g**4 + 7\/60*g**5 + 13*g**2 + 0 + 0*g. What is the second derivative of m(f) wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1252 - 1253. Which is the closest to f? (a) -1 (b) -3\/10 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 16 = 4*l - 0*l, -f - 4*l + 8 = 0. Let g = -2 + f. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 103.6095l?\nAnswer: 103609.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -58, -87?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 575, -2\/5, 0.2, -10\/3, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 183.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -157. Suppose -x = -3*g + 4*v + v, -2*g + 3*v = -81. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 3a630?\nAnswer: 3a632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:19 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 101 = 11*m - 29, -m - i - 12 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 11*d**2 + 11*d + 6. Let l be w(12). Let s(h) = -7 + 89*h**3 - 43*h**3 - 6*h + 5*h**2 - 45*h**3. Calculate s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 36*f + 3. Let p be r(-36). Solve 0 = -10*z + 9*z + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b**5\/3 - 22*b**4 - 434*b**3\/3 + 294*b**2 + 640*b\/3 - 200 = 0.\nAnswer: -5, -1, 3\/5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/71196900 and 97\/150.\nAnswer: 71196900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*v - 9. Suppose -5*r - 5*b + 4*b + 162 = 0, -r = 2*b - 27. What is the remainder when r is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -5)*(-1)\/2. Suppose l = 3*t + 1 + 23. Let a be (t - 4)*(-2 + 1). What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -43*t - 51. Let x(i) = -291*i - 144. Let w(n) = 2*n + 3. Let d(s) = t*x(s) - 2*w(s). Find the first derivative of d(k) wrt k.\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1103*l**2 + 5 + 1105*l**2 - 5.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 + 2500*u**2 + 9952*u + 9936 = 0. What is u?\nAnswer: -621, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3028.2 from -1.\nAnswer: -3029.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*12\/(-4)*(31625\/165)\/115?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:56 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.4, -556?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219947*c**2 - 611527*c**2 - 608418*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**2 + 5*w**2 + w**2. Let m(r) = 2*r - 19. Determine m(n(a)).\nAnswer: -4*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195)\/9 - (3 - (-24)\/(-9)). Let l(b) = b**2 + b - 1. Let x(a) = -12*a**2 - 10*a + 11. Calculate i*l(c) - 2*x(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510310*c**3 + 253895*c**3 + 256370*c**3.\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-75)*5\/2. Let g = -16.53 + 17. Let l = -0.17 + g. Which is the closest to s? (a) -2\/17 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26591824?\nAnswer: 2, 7, 233, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 e when four letters picked without replacement from eeeeiiieieiiiiie?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24956 - 24943. Let y(z) be the second derivative of -5\/3*z**4 - u*z + 12*z**2 + 0 - 14\/3*z**3. Factor y(k).\nAnswer: -4*(k + 2)*(5*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2090, 4164, 6218, 8252, 10266, 12260, 14234?\nAnswer: 16188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4 and (-58)\/(-80) - (-3 + 2 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 12) to base 8\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164 - 166 - (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*j - 662, p - 5*p = -j + 176. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:20 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 76. Suppose -g*l + 72 = 3*l. Suppose t - 5*t + 5*a - 458 = 0, 0 = -4*a - l. Round t to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -7, 2, 15, 32, 53, 78?\n\"Answer: 2*o**2 - o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 1804, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 94)*(1 - o - 1 + (3*o - 2*o - 3*o)*(-1 + 1 + 2) - 2*o + 2 - 2).\nAnswer: 658*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33560 divided by 8.\nAnswer: 4195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036960659.\nAnswer: 3, 7, 113, 145661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7707.2 * 0.1.\nAnswer: -770.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*d + 78 = -6*d + 111, 18*x - 22*d = -312 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m + 10. What is the units digit of (3 - 2)*(3 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssw when three letters picked without replacement from {s: 4, w: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, -4, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (78*z**2 - 2*z**2 + 45*z**2 + 25*z**2)*(1 - 5 + 5) in the form g*z**2 + w*z + p and give g.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 4*s**2 + 7*s**2)*(116 + 201 + 292) to h*s**2 + n*s + p and give h.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/35)\/(1\/115). Suppose -b = 3*o - 55. Solve 0 = -5*f + 4*d - o - 14, -5*f = -2*d + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10389 + 1572 - 5196 + 1014 - 1297)*(3*d - 4*d + 0*d).\nAnswer: 14296*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from fffgffffgffffffgffff?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3 - 102\/42. Let a be 0 - (-5 + 6 - 7). What is the third biggest value in 2, j, 0, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -21, -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:20 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/199472 and -39\/32.\nAnswer: 398944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -34*n - 26. Let v be m(-3). Suppose -265 = -27*p - v. Solve -f = p - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 2:26 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 + 7*r + 8. Suppose -12 = 2*q - 0. Let x be g(q). Let d be 1*(x\/(-1) - -8). Solve -4*y + 6 = -d*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -1062257?\nAnswer: -1062304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -56 - (188 - 190).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 3540*g**3 - 3543*g**2.\nAnswer: 3*g**2*(g - 1)*(g + 1181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 106*w**2 + 694*w + 100. What is n(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -36. Let x(m) = m. Let q be x(2). Suppose 0 = -5*h - 10, -q*h = -3*d + 2*h + 392. What is the greatest common factor of d and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*v - 2*v - 22, -4*v - k - 18 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q - 3. Let t(p) be the third derivative of p**4\/24 - p**2. Suppose 0 = 26*g + 292 - 136. Give g*t(c) - f(c).\nAnswer: c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-44) - 400\/22. Let l = -8 - y. Calculate the highest common factor of l and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 - 36*a**4 + 56*a**3 + 96*a**2.\nAnswer: 4*a**2*(a - 6)*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/104, -316.7, -5, 1\/9, -0.5 in ascending order.\nAnswer: -316.7, -5, -0.5, 5\/104, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1126.5 + 1127. What is the third biggest value in 5, c, 7, -14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-33) + (-6)\/(-33). Suppose k = -k + 2*o + 16, -5*k + 36 = -4*o. Sort k, d, -5.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-2)\/2)*6\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110000000 (base 2) in base 7?\nAnswer: 51642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/10 + 324834*d + 263792818890 = 0 for d.\nAnswer: -1624170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -172, -600, -1322, -2350, -3696, -5372, -7390, -9762?\n\"Answer: -2*r**3 - 135*r**2 - 9*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 1 - (-265 + 157 + 137).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1325\/425 + (-6)\/51. Which is the closest to 2? (a) g (b) -2\/5 (c) -2\/3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 - 4*y + 2. Let q = -7 - -3. Let p be r(q). Which is the nearest to 2? (a) -1\/4 (b) 2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -9\/4, -4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 1.04. Suppose 5*p - i + 3*i = -23, -3*p - 5 = -i. Which is the biggest value? (a) l (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/819)\/(-7)*(3\/12)\/(2\/12)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 63 + 81 - 16*a**2 + 66 - 211. Let o(r) = 2*r. What is o(t(s))?\nAnswer: -32*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**2*p**3*t**2 + f**2*p**3*t + 3*f**2*p**2*t**2 + f**2*p**2*t - 30*f**2*p**2 + 2*f**2*p*t wrt t?\nAnswer: -16*f**2*p**3 + 6*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/2 + 2 - 109178\/4. Let g = -14635 - t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3. Let c(h) = 45*h + 63. What is -c(n) + 18*d(n)?\nAnswer: -45*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.9 - -37.8. Let a = y - -15. Which is smaller: -11 or a?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1) + 1*4. Suppose 5*t = -t. Suppose u = b - t. Calculate the least common multiple of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18621 - -9?\nAnswer: 18630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*d**2 - 4 + (-5*d - 2*d - 3*d)*(0*d + d + d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-55)\/75*(1540\/14)\/22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*w - 13*w + 32*w.\nAnswer: 200*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-14) + (3 + -2)*212. Suppose -4*x + 15*x - f = 0. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5 - 11*d - 66 - 23*d.\nAnswer: -34*d - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 192392 - 1628809 = -5*b, -2*v = -2*b - 910632. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(20)\/(-3*sqrt(10)))**2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:13 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -60*c**3 + c**2 - 7*c + 694. Find the second derivative of j(v) wrt v.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-2 - 4) + (20 - 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -111 + 87. Let n be ((-9)\/((-144)\/c))\/(1\/(-8)). Solve -26 = -n*o - 2*m, 4*m - 6 = 2*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2, -5*j + 5*q + 40 = -3*j. Suppose 3530 = 25*k - j*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 4 = -4*g + 2*f, g + f = 2. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqlllllllqlly. What is prob of sequence qqy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Suppose i = 5*i. Let n be b(i). Suppose 30 = 5*t - n*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 173, 157, 125, 71, -11, -127, -283?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 53 - (120\/10 - 2). Let l = 1 + -1. Which is the smallest value? (a) -2\/7 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 6*k + 5. Let f be v(-4). Let x = 133 + -128. Let w = x + f. Calculate the least common multiple of w and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 12:02 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.3 - -0.7. Which is the second smallest value? (a) -0.3 (b) l (c) 3\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c - 6. Let z be j(-1). Suppose 6*f = 5*f - z*w + 15, -5*f - 4*w + 75 = 0. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-30)\/(-25))*35?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224301.7 milligrams in nanograms?\nAnswer: 224301700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 - 1. Let m be r(-2). Let i be (m - 0)\/((-3)\/(-2)). Suppose -i*d = d. Is d at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a hour in minutes?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, -54, 0, 1 in descending order.\nAnswer: 1, 0, -54, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 71 - 80 = 0. What is x in -4*x**3 + 1 - 4 + 15*x - 9*x**2 + 5*x**g - 4 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:20 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 635*b**2. Let c(g) = 4*g**2. Determine c(u(a)).\nAnswer: 1612900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -100324242?\nAnswer: -100324410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**3 + 3*q**2 - 1. Let h(b) = -5*b**3 - 4*b**2. Let u(x) = -5*h(x) - 4*k(x). Let v be u(-8). Suppose v*i - 6*i = -28. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14192?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53\/4 - 13. Let w = 29 + -30. Sort w, 0.08, z.\nAnswer: w, 0.08, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + (6 - 5 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 + 2*j**3 + (3*j**2 + 2*j**2 - j**2)*(-4*j + 3 - 3).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 15 - 3. Let n = 1 + v. Let x be -6*(n - 18\/(-8)). What is the second smallest value in 0.4, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -838 + 1177. Let k = r - 336. Let y = -9 + 8.93. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/17, -21, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-148)\/4*(9 - -528). Suppose 3*f - 529337 = 5*p + 5*f, -3*p - 317595 = 3*f. Let q = p - x. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -641*-0.022\nAnswer: 14.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 246?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:00 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/15 + 3698*m**2\/3 + 1339112*m\/15.\nAnswer: 2*m*(m + 73)*(m + 9172)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*y + 74 = 0, 3*p = -0*y + 4*y + 107. Calculate the remainder when p is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1631 = 7*a + 21798. Let h = a - -471925\/141. Is h >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nug when three letters picked without replacement from {g: 1, b: 3, u: 1, a: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01101 + 0\nAnswer: -0.01101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9135, 9138, 9141?\n\"Answer: 3*g + 9132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 16*t**3 + 4*t**2 - 3*t**2 - 4*t + 12*t**3 to the form b + w*t**3 + u*t**2 + d*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2309154, 2309028, 2308818, 2308524, 2308146?\n\"Answer: -42*j**2 + 2309196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:21 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 4, -3, -11, -736 in increasing order.\nAnswer: -736, -32, -11, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, 1, -11 in ascending order.\nAnswer: -32, -11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3185*o + 1061*o - 6*o**2 + 1048*o + 1048*o + 8*o**2.\nAnswer: 2*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.03, 0, -0.4, 0.1 in ascending order.\nAnswer: -0.4, -0.2, 0, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {q: 2, f: 1, c: 1, w: 4, o: 11}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -7, -0.315, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 1)*(-9 - 12 + 4)*(-5*o + 4*o - o)*(12 + 12 - 10) to y + f*o and give f.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 0. Let t be (-63)\/(-2)*8\/j. Solve -3*s - s = -4*w + 24, -5*w + 2*s = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 12. What is the third derivative of -10*z**2 - 4*z**4 + 6*z**2 + a*z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(6)\/(-1*sqrt(3))) + -5)**2.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v**3 + 0*v**4 + 2*v + 100*v**2 + 49\/40*v**6 + 3\/2*v**5 + 0. What is the third derivative of n(q) wrt q?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23013 (base 4) to base 12.\nAnswer: -4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, z: 1, m: 2}. Give prob of sequence zmr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*h = 90562 - 89074 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 11. Let k = -5.09 - -0.09. What is the nearest to w in k, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -3078, -6897, -12246, -19131, -27558, -37533, -49062?\nAnswer: -62151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) -45 (c) -15739 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times 429224.7?\nAnswer: -33908751.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84918.\nAnswer: 2, 3, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -98071426.\nAnswer: 3\/98071426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/11)\/u**(2\/7))**(-1\/39)*u*u\/u**2*u*((u\/u**(-2\/23))\/u)\/u*(u\/u**(-3)*u*u*u)\/(u\/u**(1\/2)*u) assuming u is positive.\nAnswer: u**(773105\/138138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 8 - 22 + 14.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40768, -81965, -123158, -164347, -205532?\nAnswer: -246713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r. Suppose 12*s - 12*s = 30*s. Let o(c) be the second derivative of 0*c**2 + 0*c**3 + 1\/4*c**4 + s + 12*c. Give w(o(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 661353560 - 0?\nAnswer: 661353560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -4\/3, 12998 in descending order.\nAnswer: 12998, -4\/3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j**4 - 1 - 3*j**4 + 6*j**4 - j**4 + (0*j - 2*j + 4*j)*(-2*j**3 - 3*j**2 + 3*j**2))*(7*j + 6*j + 0*j).\nAnswer: -39*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 - 13)) + -66 + (45 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:32 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/220 in -0.99, 2, -1, -40?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/460 and -83\/3132?\nAnswer: 360180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1030493, -2060991, -3091491, -4121993?\nAnswer: -5152497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -409? (a) 5 (b) -3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884529.6 rounded to the nearest one thousand?\nAnswer: 4885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 57 (c) 2 (d) -0.2171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5974674 and 158028?\nAnswer: 6078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -5) + -6 - -5. Suppose z*g - 2*g - 5 = -h, g = 5*h + 8. Which is bigger: h or -6\/101?\nAnswer: -6\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(8)\/sqrt(4)) + 1 + (sqrt(3) + ((sqrt(3) - sqrt(12))*-5 - sqrt(3)))**2 + 4.\nAnswer: sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -6. Let q be (2*x\/6)\/1. List the prime factors of (2 + q)\/((-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 0.0288, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2 (b) -1996 (c) 2\/11 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*j**2*p - 4*j**2*t**3 - 463*j**2 + 4744246*j*p*t**5 - 3*j*p*t**2 - 5*j wrt t.\nAnswer: -24*j**2 + 284654760*j*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 6, 399*v + 16 = -x + 394*v for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 13*l**2 + 2*l + 1. Determine g(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 92*w - 1928. Let z be o(21). Which is the second biggest value? (a) -0.88 (b) 0.1 (c) z (d) -0.1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -267, -274, -285, -300?\n\"Answer: -2*j**2 - j - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -114750468 divided by 217?\nAnswer: -528804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.026 + -19.974. Let n = h + 20.00000165. What is n rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/(-12) - 4 - 1420\/(-426).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from wwrwr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 282021 to the power of 1\/2, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 22. Let o = a + -18. Sort 0.3, o, -5 in ascending order.\nAnswer: -5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 24*a**4 + 294*a + 213. Differentiate k(l) wrt l.\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from gkkkkdikkdgkkkdkddgg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 13. Let f = 39 - 43. Let o = f + b. Solve 5 = o*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25523 - 25524. Let h = -3 + 6. Let u be ((-4)\/(-126))\/(h\/9). Is i smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -3 + 12 - 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428973536 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2 + 0*n - n - 4 - 1. Determine g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 - (1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((sqrt(567) + -1)*-3 + sqrt(567) + 4*sqrt(567)*-2)*2*-2.\nAnswer: -240 + 7200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5093 by -464.\nAnswer: -5093\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/210 - a**4\/8 + a**3\/3 + 4. Let i(y) be the third derivative of g(y). What is the first derivative of i(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -6 - -24 - (3 - (4 - 4 - 3))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 285.7 (b) -5 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = n + 16, 92*m + 12 = n + 90*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4733*h + 515912. What is l(-109)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 - d - 1. Let n be y(3). Let z be 18\/12*2*3. Solve z = -n*s - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49267*u**4 + u**3 - 2*u**2 + 26 + 49264*u**4 + u - 98528*u**4 to r*u**2 + m + i*u + h*u**3 + s*u**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 5*i - 16*v, 3274*i = 3276*i - 3*v + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**2 - 3*b**2 + 23*b**2 - 11*b**2. Let c(y) = -959*y. What is h(c(q))?\nAnswer: 1839362*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*k - 2*k = 4, k + 4 = 2*t. Suppose t*q + 4*w = -10 - 2, -3*q = -3*w - 27. Solve z + q = j - 1, 2*z = -3*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21*t = -16*t - 2593, q - 4*t = 836. What are the prime factors of q?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 286*k**3 - 12*k**2 - 41448 wrt k?\nAnswer: 858*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - 2 - (-88)\/56.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)*-1 + 1. Suppose -3*d + 8 - 2 = q. Suppose 5*k = -2*c + 27, d*k + 6 = 2*c - 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0556 take away -0.41?\nAnswer: 0.4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 11*n + 2. Let y be h(8). Let i = y - 75. Suppose -l = -4*l + 33. Calculate the remainder when i is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0128048 rounded to 2 dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:26 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003536407 to 5 dps.\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463274.\nAnswer: 2, 11, 19, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-5)\/60). Let s = u + 7. Let d be (-36)\/(-405)*5\/(-6). Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 33*y - 189 = -139*f + 136*f + 8*y, 4*y - 20 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwwwzwwwwwxzw. What is prob of sequence wzx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 31.\nAnswer: -3, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4077199*a**2 + 140*a + 4. Let q be b(-6). What is q rounded to the nearest 1000000?\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*b + 1072, 2*i - 5*b = 868 - 120. What are the prime factors of i?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2 (base 12) to base 3.\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9925653t?\nAnswer: 992565300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) -2182 (c) -4 (d) 2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 - (-233602668)\/2028 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*w - 3*u - 568, 5*w - 3*u = 727. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6 - 36. Suppose -5*c = -6*c + f. Suppose 3*k = -5*d + 41, 4*k - 4*d - c = 2. Solve -q = 3*q - k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 9:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*a - 4. Suppose -6*k + a = -2*k. Let c be (-32)\/(-12) - (-2)\/6. Solve 0 = c*s - 6, s - k = 3*l - 0*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus -150706529?\nAnswer: 150706528.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-9))\/((-4)\/(-75)). Is x > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {x: 6, b: 1, l: 2, r: 1, k: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:47 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 4\/5, 836, 216?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 49*d + 240 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + sqrt(637))**2*4 - sqrt(637)) + (sqrt(78)\/(sqrt(6) - (sqrt(6) + sqrt(6) + sqrt(96) + sqrt(6))) - sqrt(78)\/sqrt(6)*3).\nAnswer: -5128 - 1279*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15196 and 1696?\nAnswer: 6443104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2945218 and 12895.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Suppose 0 = -15*b + 7*b. Let v(i) be the third derivative of 0*i**3 + b - 5\/12*i**4 - 2*i**2 + 0*i. Give v(p(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1867995 by -45.\nAnswer: 41511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y - 0. Let f be (-6)\/(-8)*(-16)\/y. Suppose f*x = -0*x + 34. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -307678245 at most -307678247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 4*s + 10. Let y be x(7). Let j be (y\/2)\/(6 - 7). What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 10*l**2 - 7*l - 14. Calculate the remainder when k(-10) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59 less than 0.1076?\nAnswer: -1.4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 5*r - 69 + 2*r + 0*r in the form u + z*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -31*j + 2. Suppose -2*i + 183 = 2*a - 329, -i - 497 = -j*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2252, 2249, 2244, 2237, 2228, 2217, 2204?\n\"Answer: -k**2 + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29786579 and 5687.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*((-2)\/13)\/(225\/(-270)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 11*g + 70 - 8.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**2*u**2 + 13*q*u**3 - 2*q*u - 833*u**3 wrt q?\nAnswer: -6*q*u**2 + 13*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 take away 113.52246?\nAnswer: -111.32246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*n + 38, -7*z - 3*n = -2*z - 30. Let h = -21 - -6. Let s = z - h. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let s be 8\/(-4)*((-57)\/6 + 2). Let f(z) = -s - 2*z - 14 + 11*z + 37. Determine y(f(i)).\nAnswer: 18*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 85\/3237?\nAnswer: 85\/3237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1 (b) -0.4 (c) 0.1 (d) -0.1 (e) -4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86*f**3*q**2 - f**3*w - 2696564*f**2*q**3*w + 28*f**2*q**3 + 66*f*q**3 wrt w.\nAnswer: -f**3 - 2696564*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/303 and 31\/360681.\nAnswer: 36428781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, k: 1, b: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20071*p*q**3 - 14*p + 110*q**3 - 1917012*q**2 wrt q?\nAnswer: 120426*p + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 387503*d**2 - d + 387503*d**2 - 561*d**4 in the form s + t*d**2 + y*d**3 + u*d**4 + p*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*((-5882)\/80 + 3883\/155320)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 237707*n*r + 62*n - 128987*r wrt n.\nAnswer: 237707*r + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 + (0 - 2 + 0)*(1 + 3 - 6) + (0 + 1 - 2)*(1 + 3 + 0))*(k + k - 10*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqfffqffffffffff. Give prob of picking 4 f.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/150 + 9*z**5\/100 + 29*z**4\/60 + 13*z**3\/10 + 9*z**2\/5 - 233*z. Factor m(u).\nAnswer: (u + 1)*(u + 2)*(u + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and 1448.\nAnswer: -95568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5 = 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 29. List the prime factors of 305\/30 + g\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49061 + -8291254\/169. Let p = -5098\/9 + 568. Find the common denominator of p and c.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:00 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/4)\/(2\/(-12)). What is the tens digit of (158\/3)\/(t\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 28\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(24\/(-42))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486718.\nAnswer: 2, 163, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0 = -2*w + 11, -4*f + 4 = 4*w. Suppose 3*j = 17 - 5, 0 = 4*d + 5*j - 24. Put w, 0, -1, d in ascending order.\nAnswer: w, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**7\/210 + 13*s**3\/6 + 467*s**2. Differentiate t(m) wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -5*z**3\/6 - 5*z**2\/2 - 42*z + 3. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16 and -143\/210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = c + 55*c - 1001. Solve 7*d = -18 - c for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4105 - 0?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75900)\/520)\/(-253)*8\/(-5)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*p + 194 - 784 - 31*p - 15*p - 261 to the form m + d*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5427*f - 5426*f - 90681, 5*l = f + 90679. What are the prime factors of l?\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1483, -23, -11, 0.3, 1\/2?\nAnswer: 1\/1483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100101111010000100 - -100?\nAnswer: 10110100101111010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3233980*d**2*f*s**2 + 2*d**2*s**3 - 2*d**2*s + 6276*d**2 - d*s**3 + 23*f*s**3 + 69*s**3 + 2 wrt f?\nAnswer: -3233980*d**2*s**2 + 23*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**2 + 1. Let c be d(-1). Let s(q) = -14*q - 13. What is the tens digit of s(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let o = -1 + w. Let f(q) = -7*q**3 + q**2. Determine f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 - 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100962604?\nAnswer: 2, 757, 33343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728*c*d + 8*c + 4002*d wrt c.\nAnswer: -728*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 - 15*h**4 - 10*h**3 + 60*h**2 - 40*h = 0. Calculate h.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965 - 84*r**3 + 6*r - 4*r + 13*r**3 - 965.\nAnswer: -71*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttitdtiditittdtt. Give prob of sequence dtid.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(17) + 3 - (-4*sqrt(1700))**2)*2.\nAnswer: -271970 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19308 and 6149713848.\nAnswer: 19308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 5*u**2 - 13*u + 5. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 48 = -8*p. Suppose -2*q = 2*k - 96, -2*k + 50 = -q - 52. Suppose 6*a = a + k. What is the least common multiple of p and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -51. Let o = d - 22.5. Let q = 0.41 - 0.01. What is the second biggest value in -0.4, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15\/r**(4\/13))\/(((r*r\/r**(-4)*r)\/r)\/((r**(11\/5)*r)\/r)) assuming r is positive.\nAnswer: r**(708\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*i = 11, 0 = -2*w + 2*i + 4 - 2. Let v be 48\/30*(-10)\/w. Suppose n - v = 7. Calculate the smallest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*i + 2 + 8, 5 = 5*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 183. Solve -3*l - 2 = -5*z - 13, 0 = u*l - 4*z - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/4981 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6438228, 6438198, 6438168, 6438138?\n\"Answer: -30*l + 6438258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5937 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - ((-2 - -4) + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = 5*f - 27*v - 8, 0 = 3*f - 2*v - 2. Let r = -7 + 2. Which is the closest to -1\/6? (a) -4 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/27)*r\/(r**(-1\/67)\/r))\/((r*(r*r**9)\/r)\/r*r*r\/r**25) assuming r is positive.\nAnswer: r**(30914\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 276. Let d be (0 + -1)*(0 - g). Suppose -5*c + 650 - d = 0. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 50.3.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 10. Let c(w) = 8*w. Let p be c(1). Let t be n(p). What is the units digit of -5*t*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3 + 13045?\nAnswer: 12d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19356 - -19341. Let s(o) = 4*o + 61. Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 28, 21, 10, -5, -24, -47?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41384*h**2 - 5*h - 4555?\nAnswer: -82768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85253198?\nAnswer: 2, 17, 157, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**4 + m**2 + m - 2. Let t(g) = -161*g**4 + 78*g**2 - 5*g + 10. Let k(a) = 5*c(a) + t(a). What is the third derivative of k(d) wrt d?\nAnswer: -3744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 108*o - 103*o + 4*d, o = d - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 643, 8, -1, -2, 0, -16, -5 in descending order.\nAnswer: 643, 8, 0, -1, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627106230 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -2460, -3691, -4922, -6153?\nAnswer: -7384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 13*o**2 - 10*o + 35. Determine q(3).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24541540?\nAnswer: 2, 5, 17, 19, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -5*b**3\/6 + 9*b**2\/2 - 65*b. What is j(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3))**(-32\/7)*h**(-3)\/(h**(-5)\/h) assuming h is positive.\nAnswer: h**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 26224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 6)\/(-5 - 9\/((-126)\/64)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339488\/3 + 2\/3*b**2 - 1648\/3*b = 0. Calculate b.\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 9*y**2 + 6. Let s(j) = -j**3 - 7*j**2 - 5. Let t(h) = -5*s(h) - 4*x(h). Let v(d) = 4*d**3 - 2*d**2 + 6. Determine -2*t(b) + v(b).\nAnswer: 2*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179099239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000383111 rounded to seven dps?\nAnswer: -0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -78348014\nAnswer: -1\/78348014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 131*h**2 + 138*h**2 - 8 - 274*h**2 to g*h + z*h**4 + a*h**2 + q + l*h**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04442 - -4?\nAnswer: 3.95558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y = -187 - 53 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-2)\/(-5 + -7)). Let a(m) = 285*m**3 + 2*m**2 - 7*m + 8. Let k be a(o). What is k rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -16 + 3 + -13 + 14 + -13\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 20*u + 10. Let z be q(11). Suppose -4*w = g - 34 - 33, -5*g + z = -w. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/6173 or -1?\nAnswer: -18\/6173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p = 33*p + 84. Let q be ((-24)\/14)\/(p\/(-14)). Solve -5*y + q = -7*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbctctcbbbccbbc. Give prob of picking 3 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*b - 144*b = z - 40060, 10015 = b + z. List the prime factors of b.\nAnswer: 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146964 divided by 36741?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158208 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30422, 60854, 91286, 121718?\n\"Answer: 30432*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -993 + 2548. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 2*s**3\/3 + 126*s**2 - 1360*s - 1918. Find the first derivative of i(t) wrt t.\nAnswer: 4*t + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-8)\/18*15 + 6). Is 30\/6 + 750 + 2\/u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*138\/12. Suppose 0 = 2*f + 63 - w. Is (32\/f)\/(-8) + (-894)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 4. Let m be 0*2\/(-4)*-2. Let w be h(m). Suppose 2*a + 3*i - 90 = -a, 195 = 5*a - w*i. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726166 and 10360?\nAnswer: 537362840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/4*8\/12. Let n = m + 67. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*u + 45*u - 19*u + 23*u**2)*(2*u**3 + u**3 - 5*u**3).\nAnswer: -46*u**5 - 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14498952 is divided by 182?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23261399.9 - 23261437.89999944. Let g = 38 + s. What is g rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13170 (base 14) to base 16\nAnswer: -b75e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.4 + -14.1. Which is the second biggest value? (a) 3\/2 (b) n (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1215 - -1990. Suppose 0 = -y - s + 1895. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139 - 723 - 554 - 452)*(-15 + 15 + 12*x**2) in the form g*x**2 + w + d*x and give g.\nAnswer: -22416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*7134\/(-328))\/(5\/10)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -19?\nAnswer: -232\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4801 + 0.2?\nAnswer: -10.2801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 105. Let z(f) = -f + 1. Let v(t) = -3*t - 15. Let n(l) = -v(l) - 4*z(l). What is the least common multiple of n(0) and x(14)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103795 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d + 4 + 2*d - 14. Suppose -f + 2*f - h = -9, 4*h = -3*f + 1. List the prime factors of g(f).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-150132)\/(-9))\/((-65)\/(-20)). Let x = 5133 - t. What is the common denominator of x and -16\/33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 + 12*m - 42. Let s be q(10). Suppose 174 + s = 4*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 3*v + 1 - 3*v. Let m be 3 - 3 - -1 - -1. Let t(g) = 592 + g**m - g - 592. Calculate a(f) + 2*t(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14260, -2, -3, 28, -1, 2 in decreasing order.\nAnswer: 28, 2, -1, -2, -3, -14260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 551*u + 3. Let i(l) = 529*l + 4. Determine 2*h(c) - 3*i(c).\nAnswer: -485*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/87400 and -121\/22776?\nAnswer: 248827800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 1, b: 1, k: 2}. What is prob of sequence mkb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqbppqppqqbpbbpp. What is prob of picking 1 b, 1 p, and 2 q?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 152 = 3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*k**2*n**3 + 9*f**3*k**2 - 2*f**3*n**2 + f*n**2 - 4*k**2*n**3 wrt n?\nAnswer: 24*f**3*k**2 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8*15\/(-560))\/((-6)\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose -w*t = g - 7, 4*g + 5 = -t - 2. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 13*p**5\/60 + p**4\/4 + 14*p**3\/3 + 2*p**2 - 31*p. List the prime factors of z(-5).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1316325 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1479*c + 2. What is v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyjyyj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + r. Let p(t) = -8*t**3 + 3*t**2 + 5*t - 3. Let c(k) = -6*f(k) + p(k). Let l be c(-2). Solve -u + 7 = 2*s, l*u - u = -2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*c + 5*c**3 + 14*c**3 - 15 - 1154*c + 25*c**3.\nAnswer: 44*c**3 - 2*c - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/((-35)\/(-50) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3) + 23)\/(-1 + 0). Put -2, -1, h in descending order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5393?\nAnswer: -1\/5393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 265 - 255 = 0. Let a(l) = -378*l**2 + 680. Let q(g) = -126*g**2 + 227. Let n(s) = h*a(s) - 16*q(s). What is the derivative of n(k) wrt k?\nAnswer: 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*h = -2, -5*h + 128 = 4*g + 110. Let v = -7 - -100. Suppose 0 = b + b - l - v, -b + 3*l + 59 = 0. What is the lowest common multiple of g and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -162.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = -6. Let b be (1*6)\/((-9)\/a). Is ((-8)\/2)\/b + 160 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3174 and 2808921.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzbbbxbxzbxzmbbbmx. What is prob of picking 1 x and 2 m?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g + 1. Let l(x) = -2*x. Let b(t) = 3*l(t) + m(t). Suppose -5*n + 4 = -3*c - 10, -4*n + 2*c = -10. Let p be (n + 8)*1\/3. Calculate b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 4. Let i be d(-4). Let m(n) = 6*n**2 - n + 1. Let b = 40 + -41. Let x be m(b). Solve -i*v = -0*v + x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 13*q + 10. Let n be p(7). Sort -3, n, -2 in decreasing order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -16048543792?\nAnswer: 16048543790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-2)\/12). Suppose -2*i - a = 3*i + 1800001, -1799997 = 5*i - f*a. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 96*c**2 + 96*c**2 - 2 + 3*c**3 with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 16*l - 258 - 326 - 220 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -497 + 163. Let m = 333.771 + t. What is m rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaddoddoaddadaoodoo. What is prob of sequence dodd?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*j + 3*x - 17, 2*j - 18 = -4*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.5 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {t: 1, n: 7, i: 4, w: 2, q: 2, x: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 6264.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-11 - (-7 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 214 (b) 1 (c) -3\/8 (d) 7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 13*z**2 - 23*z + 15. Let n be s(11). What is the remainder when 14 is divided by n*2\/20*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1517*p**2 - 885*p**2 + 1693*p**2 in the form w*p + n*p**2 + m and give n.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 0*m + 0*m + (2*m - m + m)*(-m**2 + 4*m**2 + m**2) - 2*m**3 - 5*m + 5*m - 93*m**3 + 32*m**3 + 170*m**3 to j + w*m**3 + c*m**2 + x*m and give w.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -493 + 525. What is the remainder when 893 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 51285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 1. Let v be j(-2). Let s be 36\/(-21)*14\/(-3). Is v greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 12*f**2 - 2*f - 19*f**2.\nAnswer: -31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 815*x**4 + 8575*x**3 + 13025*x**2 - 8570*x - 13840 = 0. Calculate x.\nAnswer: -8, -2, -1, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 36. Let t be w(6). Find the second derivative of 35*a + 7*a - t*a**5 - 8*a**5 - 9*a wrt a.\nAnswer: -760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131045 + 21?\nAnswer: 131110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1268*o = -1321*o - 45, 45 = 5*k - 5*o for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (438585\/(-14) + 4\/(-24))*(-8 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282d (base 14) to base 16.\nAnswer: -1bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-15)*n*n*n\/(n\/n**0)*n)\/(n**14*n*n**(-6)) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.46 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78 and 202.5?\nAnswer: 15795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*g**4 - 9*g**4 + 21*g**4)*(0 + 1 - 2)*(-36 - 30 + g + 71).\nAnswer: -45*g**5 - 225*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -511\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*(9 - (-764)\/(-84)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 3*n. Solve -4*t + 6*t + 8 = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*k**3 + 11710 - 11710 - 6*k**2 to the form d*k + w*k**2 + p*k**3 + y and give p.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1620)\/(-96)*472\/(-1180).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050576 to five decimal places.\nAnswer: 0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 <= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from aaavvvvvavvvvv.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 503 = -1397. Suppose u = a - 181. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2) - 10)*(-456)\/60. Suppose q*b - 71*b - 335 = 0. Suppose b = 7*g - 283. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:26 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*k + 21, 3*d = -0*d + k + 11. What is the units digit of (d + -4)*2 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1 (c) -2\/7 (d) -173095 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 18 = 6*z, 0*z - 5*z - 8 = 2*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1266096.554 to the nearest 100.\nAnswer: 1266100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwwj when four letters picked without replacement from {w: 4, b: 2, e: 1, l: 10, j: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*294\/6048 - 59\/(-30))*(-10)\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 17. Solve 2*k - o = -3*n + 5, k - 6 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*a + 1531 - 451 = 0. Let c(g) = -g**2 + 6*g - 3. Let v be c(4). Suppose -v*y = -3 - 82. What is the remainder when y is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 321410068 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2339586, -2339593, -2339600, -2339607, -2339614?\n\"Answer: -7*i - 2339579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101.8 + -2.8. Let y = c - 101. Sort -24, -1, y.\nAnswer: -24, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 + -3) - 16) + -9 + 7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {h: 1, i: 1, r: 2, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -444 + 163.13\nAnswer: -280.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -2416, 1.3, 5 in decreasing order.\nAnswer: 5, 1.3, -0.05, -2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -62. Let v = s - 27. Suppose -3*k - v = -66. What is the highest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 16*d - 5*g + 390233 = 0, 2*d = -4*g + 390234. Suppose 68990 + d = 23*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1052 + -1?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4 = 0, -8 - 14 = -5*a - 2*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 = 3*s, 11*s - 7*s + 2*l = 32. Suppose s = o + a, 4*o + 5*a - 25 - 12 = 0. Solve 2*n - 13 = -o*v, 3*v - n - 4 = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 + 0*s**2 - 5*s**2)*(-2*s + 0*s + 7*s + (-1 + 4 - 4)*(s - 2*s + 2*s)) to h*s + g + w*s**2 + d*s**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 10*s - 3. Let l be 1 + -8 + 2\/(-1). Calculate the least common multiple of 3 and g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/(x*x\/x**(-2\/17)))\/x)*x*x*x**6)**(-38)*(x\/(x**(3\/5)\/x)*x*x*x**(3\/4))\/(x**(-1))**(19\/4) assuming x is positive.\nAnswer: x**(-63847\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1884, 1882, 1880?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u**2 - 5*u**2 + 5 - 6*u + 5*u**3 + 2. Let b = -321 + 249. Let y = 78 + b. Let m(v) = v**3 - v**2 - v + 1. Calculate y*m(s) - i(s).\nAnswer: s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*g**3 + 6*g**2 + 322870*g - 64862113?\nAnswer: 21*g**2 + 12*g + 322870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 11 = -7*d, 0 = -5*h - 123 - 140 + 238 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 41492*g**2 - 124448*g - 82960.\nAnswer: -4*(g + 1)*(g + 2)*(g + 10370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461975 and 850.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = -6*q + 106. Let t = q + 56. Put 3, 2, -3, t in descending order.\nAnswer: 3, 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*z**3 + 23061*z**2 + 935014*z wrt z?\nAnswer: 144*z + 46122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 13*b - 12. Let m be i(7). What is the hundreds digit of (-1118)\/m + -1 + 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 13*w - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 + 0.3. Let f be 69\/(-7) - (24 - (-34)\/(-1)). Which is the closest to 5.1? (a) f (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1575, -1545, -1485, -1389, -1251, -1065, -825?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1941357 take away 66.4?\nAnswer: -66.5941357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 2*g + 5*j, -2 = -3*g + j. Suppose g = -b + 13*b - 192. Suppose 4*i + 48 = 4*d, 0*d + 2*i + 38 = 3*d. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 + 407 = -20*v + 143 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99)\/sqrt(9)*-6 + -1))**2*-2.\nAnswer: -3176 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31860 is divided by 10589.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2653532 (base 8) in base 2?\nAnswer: -10110101011101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 8*h - 6. Let c be 2 + (15\/5 - (1 - -2)). Suppose -2*w = -2*i + 6, -c*w = i - 2*i - 1. Calculate k(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*k - 5*o - 56, -4*k = -2*o + 78. Let b = k + 25. What is the third smallest value in -1, 3.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 3*w)*(1 - 786*w - 639*w + 1224*w).\nAnswer: -402*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 200*i. Let x(q) = -3*q. What is x(p(n))?\nAnswer: -600*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/32 and 73\/7777512?\nAnswer: 31110048","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + ((-2*(sqrt(136)*1 + sqrt(136)))\/(-4*sqrt(8)*-2) - (-5*sqrt(85)*-2)\/(-6*sqrt(15)\/sqrt(3)))**2).\nAnswer: 689\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26671715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*24344.\nAnswer: -2434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -619 and -620 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -19. Differentiate 4*d + 1 + 2 - i*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 3*z + z**2)*(-z + 3 - 3) - 10*z**3 + 24 - 24 + 6*z**3 - 18*z**3 + 5*z**3 to a + h*z**3 + x*z + y*z**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y + 352. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -43*v + 383. Let j(p) = 15*p - 127. Calculate 17*j(t) + 6*n(t).\nAnswer: -3*t + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735076 smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-3)\/(45\/(-25)))*-2019. What is the tens digit of y\/(24\/(-9) + (-10)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4245327 is divided by 163267.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282805969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 7) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 13*h - 1011. Suppose -2*y + 211 = -x, 4*y - h = 3*x + 80. Let c = 95 - y. Calculate the common denominator of c and -28\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341 divided by -1\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:23 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 3. Suppose 2 = -l*w + 11. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqnddnqdqnd. What is prob of sequence dddq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 80 = -68. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 2*x**3\/9 + 10*x**2\/9 + 2*x\/3 - 123. Factor r(o).\nAnswer: 2*(o + 3)*(3*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35332 bigger than 35343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 7190.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114015?\nAnswer: 3, 5, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3947513*o*s**2 + 83*o*s - 26*o - 91*s**2 + 8*s + 22 wrt s?\nAnswer: -7895026*o - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 466*y**3 - 257*y**2?\nAnswer: 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 1, x: 3, z: 3, m: 4, e: 5}. What is prob of sequence mmvz?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1902, -7862, -17838, -31830?\nAnswer: -49838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 17*v**2 + 58*v**2.\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -7*n**5\/20 - n**2 + 7. Let m(q) = 3*q - 5. Let p(g) = -2*g + 3. Let r(h) = 6*m(h) + 10*p(h). Calculate x(r(d)).\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m - 10. Let k(t) = -44*t + 29. Let s(l) = -3*k(l) - 8*u(l). Differentiate s(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22*c - 140. Let i(o) = o - 4. Let s(z) = -14*i(z) + 2*r(z). Differentiate s(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + 1 + 1021 + -1017?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -262880*g. Let t(p) = -p**2. What is t(i(r))?\nAnswer: -69105894400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22659953917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlhiitwt. Give prob of picking 1 q and 2 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 - 3*f + 6. Let w = 575 + -578. Let h be g(w). What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 64. Suppose -2*x - 1280 = -g*x. Suppose -3*n + 13*n - x = 0. Solve n = 3*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 76. Suppose 0 = 2*f + 3*j - r, 0*j - 6 = -2*f - 2*j. What is the greatest common divisor of 16 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28000 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j - 9*j = -39*j + 1568 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -28*x. Let d(u) = 9*u. What is -11*d(v) - 4*f(v)?\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 259413029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 354*x + 5. Let w be 1*(-3 - 2)*1. Let i(k) = -531*k - 8. Let h(u) = w*i(u) - 8*d(u). Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -17. What is the units digit of j\/(-18) - (-68)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9533.\nAnswer: 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 77*b**2 - 7*b - 5. Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281163509.\nAnswer: 3, 142351501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 47400 - 14216. Suppose -3*y + 0*z = z - a, -z = 5. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**2 - 36*b - 15. Let g(p) = -p**2 + p + 1. Let s(c) = 3*g(c) + y(c). Factor s(t).\nAnswer: 3*(t - 4)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b**2 + 52*b + 12. Give z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-2695)*((-1113)\/3339)\/(5*(-2)\/6).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -7*g**6\/30 - g**4\/12 - 10*g**3\/3 + g - 9. What is the third derivative of c(d) wrt d?\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-7)\/(455\/30) + 0). Factor 6\/13*r**3 + 0 + 16\/13*r**2 - q*r.\nAnswer: 2*r*(r + 3)*(3*r - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2008 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(292*d**2 + 108*d**4 - 292*d**2) as t*d**3 + y*d**2 + x*d + h*d**4 + u and give h.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703 = -205*l + 572 - 1099 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -13. Let b = t + 2. Solve -5*u = i - 11 - b, i - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/12 - q**3\/3 - 3*q - 3. Let t(l) be the first derivative of c(l). Find the second derivative of t(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (14 - (8 + -4) - 20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**2)**(3\/13) assuming r is positive.\nAnswer: r**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6310229 is divided by 510.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/80 - b**4\/16 + b**2\/2 - 20*b. Determine r so that i(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014680 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 9 (c) 5 (d) 856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 8. Suppose 2*c + 3*u = -22, 50 = -5*c + 5*u - 5. Let v = c - -7. Is r greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -362.39, 30?\nAnswer: -362.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1808, 3552, 5288, 7016, 8736, 10448, 12152?\nAnswer: 13848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -984.17 - -14433451?\nAnswer: 14432466.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyddykyyykyyk. What is prob of sequence ky?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4)*k)\/(k**(-3)*k))**(-41) assuming k is positive.\nAnswer: k**(-615\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130249223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mww when three letters picked without replacement from vmxwvwmmvavv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 103?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10200 (base 3) to base 10\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 - 8082*f\/5 - 5443227\/5.\nAnswer: -3*(f + 1347)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 + 45 = 0. Let b be ((-3)\/c)\/((-1)\/(-12)). Let i = 2185 + -2187. What is the smallest value in i, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, f: 7, x: 4}. What is prob of picking 3 m?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y - 3. Let m = 1 - 0. Calculate the lowest common multiple of m and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**15)\/i**5)**3 assuming i is positive.\nAnswer: i**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4) - 3)*(-8)\/10. Solve 4*q = -5*d - 19, -5*d - 4 = -5*q - l*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3469518 and 18?\nAnswer: 3469518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 26*u**2 + 2*u. Let x be y(3). What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 311763.5 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kykyy. What is prob of picking 1 k and 3 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -9211b9?\nAnswer: 9211ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8110*w**2 + 126*w**3 - 124*w**3 - 8110*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**4 - 2079*p**3 + 166423*p**2 wrt p?\nAnswer: 168*p - 12474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 2002.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -127009, 15, 1, 3, 5 in descending order.\nAnswer: 15, 5, 3, 1, -127009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 707541153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17*k)\/k**(1\/3) assuming k is positive.\nAnswer: k**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, t: 1, s: 2, e: 1, r: 1}. What is prob of picking 1 r, 1 t, 1 e, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f - v + 154 = 0, 4*f - 150*v = -149*v - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2787 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:21 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((9\/(-60))\/((-324)\/(-144)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*w = -9, -3*w - 3 = 5*x + 14. Let s be (x - -5)\/(2\/6). Suppose -53 = -s*p - 5*f, -34 = -2*p - f - 3*f. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54295, -54296, -54297, -54298?\nAnswer: -54299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -91*v**2 - 2*v + 4. Let t be z(4). Is t\/(-15) + (-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 45*m - 88. Let v be j(-12). Let n = -629 - v. Which is the closest to -3\/14? (a) -1\/4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 882 by -7.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5 - (0 - 6 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37081 and 18891084?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) -1.6 (c) 3\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h**3 - h**2 - 2. Let v(y) = 43*y**3 + 4*y**2 + 7. What is -7*c(z) - 2*v(z)?\nAnswer: 12*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22\/7, 4\/5, 0.93?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let p = 5 + -5.4. Let f = 1.4 + p. Which is the nearest to f? (a) 0.2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 726a1?\nAnswer: 726a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156588 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235620631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 + 1)) + (13 - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - g - 59 = -2*s, -3*s = -2*g - 91. Solve 3*c - 3*c**3 - s*c**2 + 27*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4696 - 728 = 486*l + 1866 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81294*b**3*q**3 + 19*b**2*q**2 + 208*q**3 - 2*q wrt b.\nAnswer: 487764*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 5*k + 22, -a = -2*k - 12. Factor 2*n**5 + 13*n**4 - 15*n**4 - 5*n**3 + 16*n + a + n**2 - 5*n**3 + n**2.\nAnswer: 2*(n - 2)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = -12*y - 294014. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 31 - 11 = 0. Let q be 1\/d + (2 - (-26)\/8). What is the third derivative of 33*s**2 + 0*s**5 - 15*s**2 + 14*s**2 + 5*s**q wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1870 divide 288119283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637006161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/22)\/(11\/(-66)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -25*s - 123. Let a be j(-5). Let g(d) be the third derivative of 0*d + 0 + 0*d**3 - 1\/12*d**4 + 6*d**a. Let x(z) = -7*z**2. Calculate x(g(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-639*y + 1245*y - 634*y)*(27*y**4 - 129*y + 129*y).\nAnswer: -756*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 50\/562961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 168 = -24*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t)**(7\/8)\/(t**5\/(t\/(t*(t\/((t**3*t*t)\/t))\/t*t*t*t*t*t))) assuming t is positive.\nAnswer: t**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 10*n**2 + 6*n - 18. Let y(b) = -12*b**3 - 29*b**2 - 17*b + 51. Let s(g) = -17*o(g) - 6*y(g). Let s(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, 0, -1\/23, 0.4, 2\/11, 1, -1.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -1\/356, -0.1, -10\/101?\nAnswer: -1\/356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*g - 56, q - 5*q - g + 66 = 0. Let p be q*(3 + (-15)\/12). What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3193.\nAnswer: 957.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*i = -447*i + 6608. Solve -i*p - 100 = -33*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)*((-56)\/4 + 14). Let u(h) be the first derivative of 0*h + 2 + b*h**2 - 2\/3*h**3. Let t(l) = -8*l. Give t(u(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 73\/2. Is 0.3 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923 to the nearest 10.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.71 - 2.648. Let h = -3.062 + s. What is the second biggest value in h, 3, -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (3 - 0)) + -3 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 - 2*c - 5. Let x be t(4). Let f be 5*(-1 + 3)*21854\/245. What is the derivative of -f*i**3 + 13 + 892*i**3 + x*i**4 wrt i?\nAnswer: 76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 4) to base 7.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -92076 and 7942754.5.\nAnswer: 7850678.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 1815\/(1 + -4). Let l be (-15 + 11 + 3)*-10*1. What is the highest common factor of l and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.89 + -3.028. Let z = -0.966 + t. Round z to 2 decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o. Let j(t) = -t + 1. Let k(r) = 5*r - 6. Let l = -4 + 10. Let p(a) = l*j(a) + k(a). Calculate p(f(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17758565311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 234998, 469810, 704620, 939428?\n\"Answer: -x**2 + 234815*x + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20526 (base 10) to base 4.\nAnswer: 11000232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -175. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3393 - -40b?\nAnswer: -2f88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(84) + (5*(-1*sqrt(84) + sqrt(84)) - sqrt(84)))\/(sqrt(24)\/(sqrt(200) - -2*sqrt(200))) + 2.\nAnswer: -210*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5336, 10653, 15978, 21311, 26652?\nAnswer: 32001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 + -5513\/19. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*x = -0*h + 8, 6 = 3*h + 5*x. Sort 1, h, -1 in decreasing order.\nAnswer: h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:02 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + 0)\/((-87)\/(-58)) + 232.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1573\/195 - 8 - (2 + 5 + (-171)\/135).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 17 + 1. Let v be ((-9)\/u)\/(3\/(-6)). Solve v*n + 12 = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/4 + 10445*s\/4 + 5225\/2.\nAnswer: -5*(s - 2090)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 7477, 26190, 62633, 122716, 212349, 337442?\nAnswer: 503905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*j + 32 - 124 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 65*j**2 - 154*j + 713. What is f(-35)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 182, 187, 196, 209, 226, 247, 272?\n\"Answer: 2*l**2 - l + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-28)\/(-420))\/(352\/(-132)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((3 - 3) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -608948.71496 - -609084. Let n = h + -7.24434. Let m = n + -128. Round m to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/7 - 6600*m**3\/7 - 3610146*m**2\/7 + 21839400*m\/7 - 32848443\/7 = 0 for m.\nAnswer: -1103, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/445 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 465*a**2 - 17784*a + 18252 = 0?\nAnswer: -78, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 5*f - 15, -45 = 2*y - 20*f + 9*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50379017 to the nearest 100000.\nAnswer: -50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-2205)\/(-14))*2*3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/4*8\/(-3). Suppose 15 - 1 = 2*v. Solve -v*y = -j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 142\nAnswer: -86\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((14 - -14 - 21) + -81).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 431\/6. Let x = -242.8 + 243.8. Put 3, x, m in increasing order.\nAnswer: m, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 6*b. What is the third derivative of -b*d**6 - 2*d**6 + 323*d**2 - 301*d**2 wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**4 - c**3 + 3281959*c**2 + 4*c - 6339995 wrt c?\nAnswer: 96*c**2 - 6*c + 6563918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose -k*n = 3, -5*f + 4*f - n + 713 = 0. Is f a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - 17*z + 2. Let u(s) = -21*s**2 + 34*s - 5. Let l(b) = -6*u(b) - 11*v(b). Let n(q) = 2*q**2 - 6*q + 3. What is -3*l(k) + 8*n(k)?\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -102\/63739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(8))\/sqrt(12)*-4 + -3)**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (398 + (-10 - 2)\/3)*1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:32 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:12 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 + ((-754)\/7 - -1). Let k = -102 - q. Solve 5*p - f + 0*f + 19 = 0, -k*f + 17 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325467362.99109 + 325465971. Let j = g + 1392. Round j to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 7*i**2 - i + 6. Let j be a(7). Let x be (1\/(-2))\/j*18. Let h(y) = 4*y - 8. Let s be h(x). Solve 4*n - 4*q + s = -0*q, 0 = -3*n - q - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 6*x - 3. Let w be t(-6). Let f(r) = -r**2 + 2*r + 5. Let l be f(4). Let d = w - l. Which is bigger: 2\/9 or d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53205*o**3 - 421*o + 421*o + 54229*o**3.\nAnswer: 1024*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:57 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671570 is divided by 13168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23118886?\nAnswer: 2, 7, 67, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 minutes before 6:52 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**4 + r**3 + 6*r - 11*r**2 - 7*r**4 + 5*r**3 = 0. What is r?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from lhzzllzzhzlszhzllhzl.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 4*g**2 + 9*g + 2. Let c be f(3). Let l be ((-10)\/12*-9)\/(3\/c). Is l greater than or equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**4 - m**3 + 2*m**2 - 1. Let v(o) = 187*o**4 - 6*o**3 + 7*o**2 - 6. Let p(g) = 6*j(g) - v(g). Find the third derivative of p(s) wrt s.\nAnswer: -4344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*s - 3*s. Let t(k) = k**3 + 2*k**2 - k. Let b be t(s). What is the remainder when 42 is divided by 34\/b + (-6)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 261, 263, 265, 267, 269?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**3 + 2870*p**2 - 11420*p + 11400 = 0?\nAnswer: 2, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let v be z(4). Let n(g) = -5 + v*g - 2*g + 5. Let d(o) = -3*o**2. Determine n(d(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -2*q - 2*q + 2*r, -2*q + 4*r - 152 = 0. Let k = q + 77. Solve k*p = 10 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w. Let a(z) be the first derivative of 6*z**2 - 3 - 2*z**2 - z**2. Determine g(a(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 59*l**2 + 385*l + 4. Give g(-5).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442662 to the power of 1\/2, to the nearest integer?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/19 in -2, 2.393, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 35 - -9) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-1) - 0)\/1. Let u be (((-88)\/(-5))\/11)\/((-4)\/(-50)). Suppose -4*x + u = 0, v*q = 3*q - 4*x + 135. What is the remainder when q is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193121137, 386242276, 579363415?\n\"Answer: 193121139*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*a - h + 1240 = 0, -6*h + 9*h = -a - 0*h - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16764960 divided by 8480.\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122548 - 11452. Round z to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three halves of a kilogram?\nAnswer: 11500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 395?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -56. Let p be (-501)\/9 - (1 + 10\/(-6)). Is 11 a factor of (x - -7)*p\/(4 + -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 2*q + 1. Let g(y) = -y**2 - 4*y + 1. Let p be g(-5). List the prime factors of o(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 12*m**2 + 13*m + 34. Suppose 35 = -4*h - 4*d - 13, -38 = 3*h + 5*d. Let w be j(h). What is the greatest common divisor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437*t**2 + 392*t**2 - 387*t - 511*t - 334*t**2 wrt t.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571700 rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let g = 49.16 + -49.46. Which is the nearest to p? (a) 1 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w - 204. Suppose -35 = 3*m - 2*g, 5*m + 14 + 36 = -5*g. Calculate y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301 (base 5) to base 2.\nAnswer: 11001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 6. Suppose v - 1 = 0, 4*v = 4*i + 2*v + 6. Let n be (-14*1\/(-2))\/(9\/(-9)). Let q = i - n. Give l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5989*p**3 + 238*p**2 - 27 wrt p?\nAnswer: 35934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqbqmqmqm. Give prob of sequence bmq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22\/1085 + 1\/105. Let h(j) = -6*j**3 + 53*j**2 - 3*j + 108. Let x be h(9). Is z at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3136 and 32534432.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 34*n**2 - 36*n + 6. List the prime factors of t(-33).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1734390023 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 17 (b) 0 (c) 164.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*b**5 + 592*b**2 + 1092*b + 520\/7*b**3 + 0 - 16\/7*b**4 = 0. What is b?\nAnswer: -7, -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 288, 627, 1092, 1677, 2376, 3183, 4092?\n\"Answer: -i**3 + 72*i**2 - 2*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + 3. Suppose 0 = -2*d - w - 2*w - 7, -5*d + 3*w = -c. Suppose v - d = -0. What is v rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*i = 32, 7*i - 4*i - 16 = -2*d. Let u be d\/10*15\/6. Let t be -2*u\/(-2) + 0. Solve -3*q - t = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/4, -39, -1\/2, -3, 3, 0.4, 2\/1295?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5076*b - 5091*b + 180 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/141*(-162)\/2. What is the second derivative of 28*s + 8*s**2 - 71*s**2 + w*s**2 - 199*s**2 wrt s?\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + (sqrt(1225)*1)\/(-1*sqrt(448))*5)**2 + 1).\nAnswer: -125*sqrt(7)\/4 + 22515\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 8. Suppose -y - 1 = -w. Calculate the smallest common multiple of y and ((-1)\/(-3))\/(9\/216).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x = -52*x - 56 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let k(y) = -7*y + 2. Let a(g) = g. Let u(m) = -6*a(m) - k(m). Let l(b) = -5*b + 9. Let t(n) = -4*l(n) - 18*u(n). What is v(t(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 395\/55 - 2\/11. Suppose -16210 = -4*s - 2*l, 2*l = 3*s + d*l - 12175. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(78)*2*-5*-1)\/(-1*sqrt(726)*2 + 4*(sqrt(726) - (sqrt(726) + sqrt(726)*2 + sqrt(726)))).\nAnswer: -4 - 25*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/(-279)*(-18)\/(-15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = t + 3*a, -t - 12*a + 17*a + 200 = 0. Factor -5*z**3 + 275*z**2 - 74*z - t*z**2 - 46*z.\nAnswer: -5*z*(z - 8)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4 = 15*p - 17*p, -5*w + 2*p = -12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/(3*(1 - -1)). Put c, -6\/5, 0 in descending order.\nAnswer: c, 0, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0 + 52*o - 3\/2*o**2 + 1\/6*o**3. What is j(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*l - 14211, 5*l = 3*i - 4874 - 37745. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.66414ml to litres.\nAnswer: 0.02766414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4099\/40 - 503\/5. Is 3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97157884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -35. Solve 7 = -r*u + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/(((-12)\/10)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72152, -72149, -72144, -72137, -72128?\n\"Answer: t**2 - 72153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/115 + (-2)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3, 0, -1 in descending order.\nAnswer: 4, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 4968*w + 9903938.\nAnswer: -(w - 1702)*(w + 11638)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.72468222 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7)\/(q\/(q\/q**(2\/11))))\/(q**(-3))**(16\/3))**1 assuming q is positive.\nAnswer: q**(1185\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 6. Let a(c) = c + 7. Let n(p) = 5*a(p) + 6*w(p). Let l be n(-3). Suppose -l*o = 5*s - 4, -3*o + 2*s + 19 = -25. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716123287.\nAnswer: 11, 107, 608431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161.98 + 160.98. Let c = -109 + 761\/7. What is the nearest to r in 1\/8, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.4 - 3?\nAnswer: -524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 1. Let k(h) = -h. Let f(j) = -6*k(j) - u(j). Let n be f(3). Let x = 1430 - 1430. Solve x = -4*q + n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 2, y: 2, t: 2}. What is prob of picking 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2011300 - -1231?\nAnswer: 2013131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*d - 20, 0 = r - 4*r + 3*d + 30. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 7 (c) -13 (d) 26 (e) 0 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 32. Let k be (-33)\/84 + 20\/140. What is the third biggest value in -4, 5, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*c - 6 = 0, 11*c = k + 7*c - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - 7*d**2 + 8588285*d - 8588285*d + 2 - 2*d**3 in the form o*d**2 + k*d + x*d**3 + a + f*d**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1217409801 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/3, -0.0112, -2, -87?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -768 - -768.3. What is the third biggest value in 0.5, 321\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*o**4 + 98*o**2 + 6*o**4 - 100*o**2 + (3*o + 3*o - 7*o)*(3*o**3 - 3*o**3 + 2*o**3).\nAnswer: 28*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*-2*6\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 24 = -5*g, 10*z - 3 = 11*z. Sort -2, -3, 15, g in ascending order.\nAnswer: -3, -2, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((1*sqrt(5700) - sqrt(5700))*-6)\/(2*sqrt(48)*-2) + 5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 255\/(-42)*2\/12*-2. Let n = 13\/6 - m. Factor 2\/7*k + 0 - n*k**2.\nAnswer: -k*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.0957?\nAnswer: 0.2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 869861387 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 6*t + t)*(-2 + 5 - 4) - 765 + 765 + 58*t as x + g*t and give g.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:59 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/4, -63, -1\/3, 203, -0.07, -5, -3?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3714084239.00000057 + 3714084329. Let f = p - 90. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least as big as 311\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 85) + (-6134)\/(-146)\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -13.8. Let c = -9 + v. Let x = -315 + 321. What is the biggest value in c, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -2\/539 (c) -19.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:04 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d850 - -3?\nAnswer: -d84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -31. Suppose 5*f = -3*y, 3*y = -f + k*f - 24. Suppose f*n - 2392274 + 622274 = 0. Round n to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34661589 * -0.3.\nAnswer: -10398476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0*a**3 - 1\/30*a**5 - 2*a**2 + 0*a**4 + 0 + 0*a. Let v(g) = 0*g - 2*g + 5*g. Give d(v(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11332 (base 4) to base 16.\nAnswer: 17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2345563 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105919096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 10*c - 2*c**5 + 6*c + 3*c**5 + 4*c**5 - 6*c**5 + (2*c**2 - 3*c**2 - 3*c**2)*(2*c**3 - 27*c**3 + 2*c**3).\nAnswer: 91*c**5 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800025 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 7}. What is prob of picking 1 k and 3 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = -0*j, 2*g + 2*j + 34 = 0. Let b = 18 + g. Let u be (-2 - -1)*1 - -4. Solve 3*l - 6 = -2*o, b*l + 0*l = o - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9880 - 5*h + 22*h - 9*h - 6*h.\nAnswer: 2*h + 9880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18038 and 31722?\nAnswer: 919938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 2\/5, -5, -0.8, 91?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 209 + 206 + 11*t**2)*(t**2 + 3*t**2 - 5*t**2).\nAnswer: -15*t**4 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(4*v - 4*v - 2*v)*(4 - 4 + 7*v**3).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let r(u) = -9*u**2. What is r(o(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -414263353.1 to the nearest 100000.\nAnswer: -414300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 - 3*c**2 - c + 5. Let v(x) = 36*x**3 + 19*x**2 + 7*x - 31. Let d(f) = 13*u(f) + 2*v(f). Let y(i) = -5*i**3 - i**2 + 2. Give -2*d(h) + 3*y(h).\nAnswer: -3*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 24\/16)\/(3\/18). Suppose -v + g = -0*v - u, -g - 73 = -3*v. Solve d + 2*p = -6, 0 = -5*d - p - 2*p - v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = -f - 7, -4*f + 17 = -3*z. Factor u**f + 4*u**2 - u + 10*u + u.\nAnswer: 5*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(2\/5)*(j**(2\/7)*j)\/(j**(-1)*j))**(-44) assuming j is positive.\nAnswer: j**(-2442\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (1*(sqrt(77)*1 + sqrt(77) + sqrt(77)))\/((sqrt(56)*-1 - sqrt(56))\/sqrt(8)).\nAnswer: -3*sqrt(11)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 56*s**3 - 4*s**2 - 4*s - 744. Let u(j) = 56*j**3 - 5*j**2 - 5*j - 747. Let h(q) = 5*p(q) - 4*u(q). Differentiate h(y) wrt y.\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*k*r**2 - k*r + 332*k - 1 wrt r.\nAnswer: -58*k*r - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207\/8 + 103\/4. Let y(t) = -t + 50. Let f be y(0). Let d be 6\/f*2\/(-3). Put l, d, 0.4 in decreasing order.\nAnswer: 0.4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(((-2 + sqrt(567) + -1 - sqrt(567)) + sqrt(567))**2 - sqrt(567)) - (3*(2 + (sqrt(567) - (sqrt(567) + 1)) - sqrt(567)))**2)*-6.\nAnswer: -1728*sqrt(7) + 37582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w**2 + 2*w - 3*w**2 + 0*w + 0*w - 3. Let g be h(1). Let u be (-3)\/2*2\/1. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -103. Let c(w) be the third derivative of 0*w + 3*w**2 + o*w**4 + 1\/2*w**3 + 1\/20*w**5 + 0. Find the first derivative of c(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*z - 580495 = -1823407. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4750328\/279 or -17027?\nAnswer: -4750328\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1159 + 30. Suppose 5*a - s = 4*w, w = -5*a + 2*w + 1186. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d61a5 + 0?\nAnswer: -5d61a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 4420?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142\/9 - (-2)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 876366, 0, 0.4, 1\/7 in increasing order.\nAnswer: 0, 1\/7, 0.4, 2, 876366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + 9 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/c**2*(c**(-2))**47)**(2\/11) assuming c is positive.\nAnswer: c**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -450 + 40*u**2 + 7*u**4 + u**4 - 6*u**2 - 5*u**4 - 12 with respect to u.\nAnswer: 12*u**3 + 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.27. Let o = 1.3 + -3.3. Sort o, 4, i in increasing order.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -138. Let c be k\/(-48)*873*4\/(-6). Let h = -94 - c. Let w(r) = -r**3 + 4*r - 3. Give w(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 - 208*w**2 - 210*w = 0. Calculate w.\nAnswer: -1, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -6, -5, -1, -0.43, -2, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2112 + 1437?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 26. Let l = 0.9 + -0.6. Let i = -0.3 + l. Which is the nearest to i? (a) -0.2 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23674 to three decimal places.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - v - 2, -5*u + 0 = -5*v + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 714 - 1412. Calculate the remainder when z\/(-18) + (-18)\/(-81) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001602778 rounded to six decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7)**32)**(-29) assuming k is positive.\nAnswer: k**(-7424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 0 - 1\/2*b**2 - 3\/2*b**4 + 3\/2*b**3 + 1\/2*b**5.\nAnswer: b**2*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -41*i - 1. Let h be v(-1). What is the common denominator of -5\/9 and (-2)\/(-5) - (-196)\/h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67154\/53 - 1267. Find the common denominator of v and 9 + -7 + 2\/(-8).\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 10403?\nAnswer: 10400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 310274, 310256, 310238, 310220?\n\"Answer: -18*n + 310292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140398057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) 1\/5 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 2, -387, 1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 1 - 0. Let v = 7 - -21. Suppose 3*j + v = 5*b, -b + 2*j = -3*b + 8. Sort b, z, 3.\nAnswer: z, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396)\/(sqrt(36)\/sqrt(3)) + 2*sqrt(297))\/((sqrt(11) + (sqrt(11) - sqrt(55)\/sqrt(20)) - sqrt(11))*-3).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10874 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*v**2 - 2624*v**4 + 438*v**4 - 85*v**2 - 4466*v**4 wrt v.\nAnswer: -159648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150370 = -6*g + g. Is g\/(-55) - (-1)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-5))\/(-3 - -1)*-3. Solve -d*c + 4 + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**2*j**4 + 35*h**2*j**2 + 6*h**2*j + h*j**3 - 13*j**5 wrt j.\nAnswer: -96*h**2*j + 6*h - 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.01, -97, 4, -13, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 2445584*b**2 - 11*b.\nAnswer: -2445584*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/(-44))\/(910\/(-60)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -215.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 13509*a - 355980. Determine u(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455022*v = 227509*v + 227508*v - 395 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7750.8924 + -1185.7246. Let k = o + 8944.31699894. Let u = 7.7 - k. Round u to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyej when four letters picked without replacement from ewsjwyjjsjjj?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 q when four letters picked without replacement from {q: 7, o: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/156 - 130\/104.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -s. Let r be (2 - 0) + 4 + -3. Solve s = -c - r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 + 7*r - 7. Let p = 1413 + -1419. Determine j(p).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/60)\/(((-54)\/(-5))\/3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -110 - (-22 + 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548 + -582. Let c be ((-153)\/y)\/(6\/352) + 2. Calculate the greatest common divisor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 59\/4 of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:28 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21392280, 42784558, 64176836, 85569114?\n\"Answer: 21392278*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -134*g - 62. Let f(w) = 67*w + 29. What is -13*f(b) - 6*p(b)?\nAnswer: -67*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - p + 7 - 3 = 0, 5*a + 2*p = 17. Let l = 3 + a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218 - 0?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9072) + (sqrt(9072) + sqrt(9072) + sqrt(9072) + sqrt(9072)*-2 - sqrt(9072)))*-2)\/(-6*-2*sqrt(18)\/sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 + -272.545. Let q = -0.525 - m. What is the nearest to 1\/3 in 0.1, -3, q, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6586709, -6586704, -6586699, -6586694?\n\"Answer: 5*c - 6586714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 4*t**2 + 2*t + 2. Let d(w) = w**2 - 4*w - 3. Let y(q) = -q + 10. Let z be y(11). Let p be d(z). Calculate h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/28*(0 + 1). Suppose 4*x - 4 = 0, -4*f + 7 = 8*x - 13*x. Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121572.00004 - 121564. Let n = 5.9 - -2.1. Let s = n - t. What is s rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5072.8986 rounded to 0 dps?\nAnswer: -5073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226937049 is divided by 75645683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-653940)\/(-7020) - (-2)\/(-13). What is the greatest common divisor of 1457 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooapxoogyyy. Give prob of picking 1 a and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 304*c - 59. Let t(f) = 225*f - 59. Let q(l) = 3*k(l) - 4*t(l). Calculate q(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/((-9)\/(-30)). Suppose -f*r = j - 109, 4*r + 2*j - 3*j = 99. Let i = -4 + 13. What is the remainder when r is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + 0 + -17 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -123?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**3 + 4270*v**2 + 86900*v + 437000 = 0.\nAnswer: -10, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by -1\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 13 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 69, -0.5, 10, -41\/7 in decreasing order.\nAnswer: 69, 10, 1\/5, -0.5, -41\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 22*z**2 - 3. Let w(f) = -46*f**2. Give w(h(s)).\nAnswer: -22264*s**4 + 6072*s**2 - 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(192) + 5 + -1 + (-2*(sqrt(192) + -1) + sqrt(192) - -2*(sqrt(192) + sqrt(192) + 1))) + 2)**2.\nAnswer: 3360*sqrt(3) + 6564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o + (2*o - 3*o - o)*(-3 - 1 + 2) + 2 + 2*o - 2 - o + 3*o + 0*o)*(-3*o**2 + o**2 + 3*o**2) - 58*o**3 + 105*o - 105*o.\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 548*f + 4608.\nAnswer: 4*(f - 128)*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5766.9989218 + -5767. What is f rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -159, -76, 49, 222?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 2*q**2 + q - 1. Let u be -5 + -3*(-4)\/6. Let h be ((-3)\/u)\/(2\/4). Is 9 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/73167 and -115\/24.\nAnswer: 585336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45466828*l**2 + 270009*l - 4.\nAnswer: 90933656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79.1 - 70. Let d = u - 9. Let n = -6.3 + 1.3. Which is the closest to -2? (a) d (b) 2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 + 224 = 2*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 121320?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + ((2*(sqrt(136)*1 + sqrt(136)) + sqrt(136) + sqrt(136))\/((sqrt(112)\/sqrt(2))\/sqrt(7) + sqrt(8)) + 1)**2)*-6.\nAnswer: 72*sqrt(17) + 1788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d**2 - d + 6. Let w be q(2). Let p(l) = -l**3 + 3*l**2 - 5*l - 4. Let v be p(5). Let c = w - v. Solve 8 + 7 = -c*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - h**2 + 7*h + 2. Let c(i) = 9*i**3 + 2*i**2 - 15*i - 4. Let k be 1\/(((-2)\/8)\/((-520)\/(-160))). Determine k*t(q) - 6*c(q).\nAnswer: -2*q**3 + q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 4*k**2 - 2*k. Let a be j(-2). Let i = -2 - a. Is (-5)\/15 + (-320)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59342*r**3 - 2292*r - 1?\nAnswer: -356052*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(240) - sqrt(240)*-1) - sqrt(240))*-5)\/(sqrt(96)\/sqrt(8)*6 + (sqrt(12) - 2*sqrt(300))).\nAnswer: -70*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggzzzgzggg. What is prob of sequence gzz?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((2625\/(-4500))\/((-21)\/(-15)))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/15*u**3 + 16\/3*u**2 + 76\/15 + 154\/15*u = 0. Calculate u.\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110101110 (base 2) to base 6\nAnswer: -10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 18 + 14. Let z be 0 + (-10)\/25 - t\/5. Suppose 14*h - 21*h = z. Solve h*b - 3 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-10))\/z*z*z**(-4\/9))\/((z\/(z*z*z**14))\/z**(-1\/7)) assuming z is positive.\nAnswer: z**(1664\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069302 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 413684636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -438 - -500. Is f at most 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15718904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -703, -991, -1243, -1447, -1591, -1663, -1651?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 187525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.9300528\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 16*v + 18*v - 3*v**3 as i + y*v**2 + r*v + w*v**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 134 + 160 = 0. Which is smaller: v or -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:48 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 14*d**2 + 3*d + 6*d**2 in the form p*d**2 + w*d + x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 13*s**3 + 71*s**2\/2 - 3*s + 268. What are the prime factors of n(4)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0872 (b) 249426 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -195.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313\/99 + -36\/11. Calculate the common denominator of 3\/12 + (-290)\/(-8) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005762 to four decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-334)\/(-11523)*(-3 + (-27)\/(-12))\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25623.00033573 - 25623. Round p to 6 dps.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76607, -84321, -105267, -146063, -213327?\nAnswer: -313677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14)\/2 - -4*(-830)\/(-20) is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4815756?\nAnswer: 2, 3, 11, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + v**2 - v**2 + 2*v - v**2. Let p(k) = -k**2 - 2*k. Let b(c) = 2*h(c) - p(c). Let n(l) = -8*l. Determine b(n(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/404 and -145\/1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrwxxppprrpffprmrfr. Give prob of picking 2 f and 1 p.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 - -292. Let i(a) = -3*a + 66. Let o be i(k). Solve o = -v - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -22501.\nAnswer: -8\/22501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by 86116.\nAnswer: 159\/43058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -12. Let y(k) = -2*k + 10. Let l be y(f). What are the prime factors of (147\/(-14))\/(1\/l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*j = -155*j + 6197 + 9098. Solve 8*p = 813 - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 628*m - 3736. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 - s - 18. What is x(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + -5 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160084010, -320168020, -480252030, -640336040?\nAnswer: -800420050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7. Let v = -61 - -68. Let c(z) = z - 1. Let d(f) = v*c(f) + q(f). Let h(k) = 11*k**2. Determine h(d(n)).\nAnswer: 539*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1764942446\/3075 - -573965. Find the common denominator of -54\/1025 and r.\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482128637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 16. Let w be ((-24)\/100*-5)\/((-9)\/(-660)). What is the third derivative of -x**4 + 11*x**j + 87*x**2 - w*x**2 wrt x?\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*s + 9 = 0, -r + 2 = -4*s - 1. Suppose r*b + 0 = 15. Let q be (6\/(-4))\/(2\/(-4)). Solve 3*u - 8*u = -2*f + b, -u - q = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - d)*(0*d + d + 0*d) + (0*d - d + 9*d)*(-4 + d + 4) + 2*d**2 + 1 - 1 - 2*d**2 + 2*d**2 - 3*d**2 + (3*d - 2*d + 0*d)*(2*d - 3*d + 4*d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15253 divided by -27215?\nAnswer: 15253\/27215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6429*b + 4337 + 284968 = 0 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1292, -1284, -1262, -1220, -1152, -1052?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 26 + 8*v**2 + 21.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(180)\/sqrt(9))**2 - (sqrt(275)\/sqrt(5))\/sqrt(11)).\nAnswer: -5*sqrt(5) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803381?\nAnswer: 7, 557, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1088\/1088*(11832 + (0 - (-1 + 2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233 + 163?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7452 is divided by 2484.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-3)))**(2\/67)*q\/q**(1\/7)*(q**(-13)*q)\/q assuming q is positive.\nAnswer: q**(-5639\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1525 - 4*u**3 + 864 + 661.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(68) - (2 + sqrt(17) + sqrt(17))**2*-1.\nAnswer: 6*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/585 - 4\/45. What is the closest to -1\/3 in 3\/5, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27513 = 3*p + 27474. Let y be 2\/3*(-3 + 81). Suppose 0 = -4*w + 8*w - y. Calculate the greatest common divisor of w and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 126920232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.1. Suppose -5*n + 4*g + 24 = -n, -3*n + 5*g = -28. Suppose -6 + n = -r. Which is the third smallest value? (a) -2 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 72*i**2 - 2*i + 23. Determine s(24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -261a7?\nAnswer: 261ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 161989 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*f + 354*f + 223*f)*(5*f - f - 2*f)*(f**2 + 4*f**2 - 3*f**2).\nAnswer: 1528*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177835698?\nAnswer: 2, 3, 433, 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/37 - -243\/407. Let b(q) = q**3 - 19*q**2 - 1. Let s be b(19). Which is bigger: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -4*y - 119. Let q(t) be the third derivative of t**5\/12 + t**4\/3 - 5*t**3\/6 + t**2. Let h(x) = 14*x**2 + 23*x - 14. What is y*q(b) - 6*h(b)?\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523*g**2 - 546*g**2 + 61105*g - g**5 - 131393*g + 65093*g - 2*g**4 wrt g.\nAnswer: -20*g**3 - 24*g**2 - 2138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**7\/840 - r**6\/30 - 13*r**3\/3 + 11. Let v(h) be the third derivative of x(h). What is the third derivative of v(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(0*a**3 + a**3 + 0*a**3) + 1702*a**4 - 3308*a**4 + 1683*a**4 - 3*a**4 + 4*a**4 + a**4 + (2*a - 3*a + 2*a)*(0*a**3 - a**3 + 3*a**3).\nAnswer: 79*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 29, 68, 143, 266?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251088 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1496919 by 14.\nAnswer: 1496919\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 9) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601780 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -502 - -502.67. Put i, 1, -2\/9, -3, -1 in decreasing order.\nAnswer: 1, i, -2\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**2. Let k(j) = 6*j. Calculate r(k(m)).\nAnswer: 936*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9748021 and 2733090.\nAnswer: 292440630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03557165 rounded to 5 dps?\nAnswer: 0.03557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -549*x**4\/7 + 4944*x**3\/7 + 65853*x**2\/7 + 148968*x\/7 - 816\/7 = 0.\nAnswer: -4, 1\/183, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(((sqrt(637) + -2*sqrt(637) + 3)**2 - ((0 + sqrt(637) + sqrt(637))**2 + -4)) + -2*-5*(1 + sqrt(78)\/sqrt(6))).\nAnswer: 192*sqrt(13) + 11326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -444, -1425, -3310, -6399, -10992, -17389?\n\"Answer: -50*t**3 - 2*t**2 - 21*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let l(w) = -6640*w - 2630. Determine h(l(b)).\nAnswer: -13280*b - 5260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - t**2 + 8*t - 8. Let s be v(1). Let f be ((-4)\/(-6))\/(1\/(-3)). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -21. Suppose -1598*k + 1590*k + 128 = 0. Calculate the highest common factor of v and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8603167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n + 4. Suppose 0 = -3*p - 5*p + 80. Let z(q) = -2*q - p - 2 + 0*q + 1. Let f be z(-9). Calculate b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 k when three letters picked without replacement from vkkkkkkk?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 - 44 = -5*o, 5*l = 5*o - 65. What is the highest common factor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879a04 (base 13) to base 2.\nAnswer: -1100001011001110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:29 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, 504, 1698, 3530, 6000, 9108?\n\"Answer: 319*g**2 - 401*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*z - 32, k + 36 = -11*z + 86 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.57 - -0.569547. Round y to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24354997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 20 = 2*x. Suppose 2*o - x*o = 9. Let s be (-65)\/(-10) + o + -2. Which is the nearest to -0.1? (a) s (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*f + 2 + 6, -32 = -2*f - 5*n. Let x be (-2)\/(-12) + 59\/f. Is x smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + 41 + -69 + -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 4*o + 53 - 11. What are the prime factors of z(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326349 - 20?\nAnswer: 326329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.6 - -4. Let l = 146323.5949 - 146313. Let f = l - w. What is f rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 + 6*a - 4. Let j be v(4). Suppose -j*r + 8 + 19 = -3*q, -r = -q - 8. Solve 2*b = b + r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27294 times -0.4?\nAnswer: 0.509176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965 = -115*o - 94*o + 961 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 3*q + 3. Let p = 8 - 5. Let j(c) = 22*c - 137. Let a(y) = 9*y - 55. Let d(l) = 5*a(l) - 2*j(l). What is p*d(o) + v(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125808575 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*v**2 - 502174*a**2*v + 6169*v**2 - 58*v wrt a.\nAnswer: 4*a*v**2 - 1004348*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.2. Suppose 35*f = 34*f + 1. Suppose 3*h - 17 = 5*d, -2*d - 3*h - 14 = -6*h. What is the nearest to d in s, f, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015875845 rounded to 4 dps?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23627951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -32) + 4 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 18. Let h be x(0). Let k be -2*(-1)\/h*-4. Sort -4, 0, k in increasing order.\nAnswer: -4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30794182204 - 5?\nAnswer: -30794182209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/70 - 60\/14. Let z be (-14)\/b + 3\/(-2). Solve z*l + l = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 14\/101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/2))\/j*j*j)**(-30)\/((j**(-9)*j*j*j)\/((((j*j*j**5)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*c - 17 = 0, 0*f + 4 = -f - 3*c. Suppose -2*z = f*z - 28*z. Solve 2*v - 6*v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.05615135 to 1 decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11953, 23860, 35767, 47674, 59581, 71488?\nAnswer: 83395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 238?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 6*m - m)*(-168*m + 81*m + 3 + 92*m).\nAnswer: 15*m**2 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from mwthohhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8143, 8297, 8451, 8605, 8759?\n\"Answer: 154*y + 7989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -741 + 1736386971.\nAnswer: 1736386230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162229898.\nAnswer: 2, 7757, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 - -647. What are the prime factors of h?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 10.1. Which is the fourth biggest value? (a) k (b) 3 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 16*t**2 - 110*t + 94. Determine m(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-14)*(-378)\/81.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 79. Suppose d*a + 4*y = 9*a + 49, -a = 3*y - 48. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*x**2 + 0 + 2\/3*x + 2\/3*x**3.\nAnswer: 2*x*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*k + 32*k - 100*k to a + v*k and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - u - 4*u = 135, -3*f = -3*u - 99. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**(-2\/27)*w*w))\/(w**(2\/23)*w) assuming w is positive.\nAnswer: w**(-2584\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*b + 35 = 1, -4*g + 44 = -2*b. Suppose -g*x + 40 = -4*x. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 48*f - 3. Calculate the remainder when n(5) is divided by (-20)\/1*(10 - (-992)\/(-80)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25560998.2 to the nearest 100000.\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74130815 and -0.5.\nAnswer: -37065407.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 - 283. What is the closest to t in -5, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2. Let y(x) = -369*x - 360*x + 1064*x - 353*x. Determine n(y(j)).\nAnswer: 1296*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 13*m - 4*m - 114397, 3*c - 5*m = 171688. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 202*d. Let h(x) = 7*x**2. What is g(h(r))?\nAnswer: 1414*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**2 + 2*v**2)*(-4*v**2 + v**2 + 13*v**2).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.5. Let n = 0.3 + t. Let o be 4\/(-27) + 48\/(-648) + 0. Sort o, -2\/7, n in decreasing order.\nAnswer: n, o, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3552396 by -422.\nAnswer: -8418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 31, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = -5*m, m + 4*n + 7 = -n. Suppose 5*l - 60 = -5*t, t = -m*l + 5*l. Solve 0 = -2*c - 2*x - t, x = 3*c + 17 - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 27*i + 147*i.\nAnswer: 130*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 14*y**2 - 14*y - 12. Let d be t(15). Let o(a) be the third derivative of -1\/8*a**4 - a**3 + d*a**2 + 0*a + 0. What is o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*k - 0*c - 144, 2*c = k + 36. Is k != -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 30 = -8*a. Let n = a + -24. Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-28))**(-32)*((g**7*g)\/g*g*g**(2\/11))\/(((g**(-2\/11)\/g)\/g*g*g)\/((g\/(g\/(g\/((g*g\/(g*g**(-3)*g*g*g))\/g*g))))\/g)) assuming g is positive.\nAnswer: g**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f**2 + 11*f - 1. Let c(j) = -11*j**2 - 7*j + 1. Calculate -8*c(q) - 5*k(q).\nAnswer: 3*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25228289 divided by -869941\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-63))\/((-4)\/30)*12\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1987795 by 895.\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:56 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*a**3 + 67*a**3 - 192*a**3.\nAnswer: -235*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62209 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/21 - 2858272*a\/21 + 2041630\/3 = 0. Calculate a.\nAnswer: -1429141, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 4*u**5 + 7*u)*(-2 + 2 - 1) + 328*u**5 + 646*u**5 + 204*u**5.\nAnswer: 1174*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 + 1. Let b be n(3). Suppose -26 = -3*o + b. Suppose 3*z = 6*z - 24. Calculate the remainder when o is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 26. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, x: 1}. What is prob of picking 1 x and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -482 + 487. Solve 0 = -9*c - 50 + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/36)\/((-2)\/(-16)). Suppose -o = r - 2*r. What is the nearest to -0.2 in 0.5, r, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -5, 25, -18, -8 in decreasing order.\nAnswer: 25, 2, 1, -5, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*1*2)\/(sqrt(432)*-1) - 5*-4*(sqrt(3)*1*3)**2.\nAnswer: -sqrt(3)\/6 + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -63. Let i(p) = -3*p**3 + 3*p**2 + p - 1. Let m be i(c). Suppose -2*r = -5*u + 11671, u - 7*r = -m*r + 2342. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.8 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + n + 3 = 28, -2*q + 2*n - 20 = 0. Let z(f) = -4*f - 2. Let j(u) = -7*u - 5. Give q*z(p) + 3*j(p).\nAnswer: -p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303400 by 50.\nAnswer: 6068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9 - -16. Let w = 38\/161 + -12\/23. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 12*i**4 - 21*i**4 + (i**2 - 2*i**2 + 2*i**2)*(-4 + 4 - i**2).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 192399 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + 1 + ((sqrt(68) - (-1*sqrt(68) - sqrt(68))**2)*4 + sqrt(68) - (1 + sqrt(68) + 4)) + -4.\nAnswer: -1092 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19825 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 5. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 2, d: 1}. What is prob of sequence ywy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 135.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2158a + 23?\nAnswer: -21567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*j - 376, 5*j - 66 = -0*m - m. Suppose f + 2 = 0, 0 = -2*c + 2*f + m + 8. What is the smallest common multiple of c and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*4\/((-26)\/13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-108)\/16)*6\/28\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2482 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 77. Let f(l) = -7*l - 6*l + 15*l. What is k(f(j))?\nAnswer: 4*j**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1122 + 1123. What is the biggest value in a, -3, 4.7, 0?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*d**3 + 12128*d**2 + 76324*d - 3752 = 0.\nAnswer: -67, -7, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-155)\/(-55) + (-2)\/(-11). Let n(k) = 4*k - 1. Let p(s) = -2*s + 7. Let m(g) = -g + 3. Let u(q) = 7*m(q) - 3*p(q). Calculate c*u(w) + n(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -65.3609?\nAnswer: -53.3609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(66)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-20) - (-4)\/10. What is the nearest to k in 1\/12, 1, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-270)\/35)\/((-180)\/56 + 3). Let n be (f\/(-90))\/(6\/(-5)). Factor 0 - 2\/3*z - z**4 + z**2 + 1\/3*z**5 + n*z**3.\nAnswer: z*(z - 2)*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*t**2 - 125*t**4 + 69*t**2 - 26*t**2 + 3*t - 23*t**4 wrt t?\nAnswer: -3552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.5 + -25. Let u be 1\/(-1) + (-6)\/(-9). Which is the closest to u? (a) r (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*4)**2*4.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*b + 10, 335*b - 175*b - 165*b = 3*u + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4955*b. Let t(z) be the second derivative of -z**4\/12 + 260*z - 4. What is p(t(h))?\nAnswer: 4955*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(5\/30). Suppose a*q = -q + 20. Suppose -5*l + 0*o = -3*o - 4, 4*l - 2*o - q = 0. Solve -l*c - 2 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -457, -1550, -3685, -7210, -12473, -19822, -29605?\nAnswer: -42170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 2, y: 1, b: 6, z: 3}. What is prob of sequence my?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Suppose -5*m = 3*l - 13, -2*l = -0*m - 2*m + 2. Let f be ((-41)\/2)\/(2\/(-2))*m. Let h(c) = -f + 13*c + 41. Calculate a(h(v)).\nAnswer: -169*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/2 + 147*q - 21609\/2 = 0 for q.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 807 + -806.9. Sort t, 0, -18, 2\/19 in decreasing order.\nAnswer: 2\/19, t, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172977523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 11. Let k be m(7). Let n(b) be the third derivative of -b**4\/24 - b**3\/2 + b**2. Determine n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/99 and 15\/7711.\nAnswer: 69399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/16 + 135\/30. Suppose -3*h + 18 = -4*i - 5, h - 4*i - 21 = 0. Calculate the highest common divisor of h and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01788922 rounded to five dps?\nAnswer: -0.01789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/547 - 58419\/5470. Find the common denominator of m and 22\/(-16)*(-42)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.267243.\nAnswer: 0.1068972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c - 2*c - 16 - 4 + c. Let p be w(-4). Suppose -8*h = -i - 7*h + p, 36 = i + 3*h. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.270862 to 2 dps.\nAnswer: 620.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1226, -2308, -3390, -4472?\n\"Answer: -1082*g - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714 a factor of 50287706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h. Let r(q) = -4*q**2 + 27*q + 3. Calculate 2*o(z) - r(z).\nAnswer: 2*z**2 - 25*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3250, -4568, -5896, -7234, -8582, -9940?\n\"Answer: -5*x**2 - 1303*x - 1942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i - 56*i + 40*i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914a (base 13) to base 5.\nAnswer: 1120004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 580083, 580085, 580087?\n\"Answer: 2*g + 580081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 20. Let r(h) = 8*h**2 + 2*h - 7*h - 4 + l + 4. Let k = -11 + 17. Let q(z) = 9*z**2 - 6*z + 5. Determine k*r(n) - 5*q(n).\nAnswer: 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.97464 millennia to decades.\nAnswer: 4297.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6.82. Let o = 4.98 + k. Let y = -2 + o. Round y to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - (-2)\/(-4)*(17 + -3). Let s = -1 - -1. Let a(h) = h**2 + h - 1. Let p be a(-3). Solve -c = -p*v + 3 - o, -4*v + 3*c + 3 = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 33*h + 15 = 0. Suppose -647 = -h*w - 161. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 33. Solve 3*y - u - 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20*x**2 - 5*x + 5. Let w(q) = -q**2 - q - 3. Let v(r) = -r**2 - r - 5. Let o(a) = -2*v(a) + 3*w(a). Determine g(y) - 5*o(y).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -22637*-3*(-7)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0 - 50\/3*j - 16*j**2 + 2\/3*j**3 = 0.\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*o + 4*o - 10*o + 9*o - 2*o.\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7*f**7\/12 + 525*f**6\/8 + 166*f**5 + 2365*f**4\/24 + 105*f**3\/4 - 5*f**2 - 189*f. What is a in m(a) = 0?\nAnswer: -63, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 7. Let x = -11 + 6. What is the units digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2600759 divided by -19\nAnswer: 2600759\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.031?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*(-63)\/(-6)*-1. Suppose 0 = q + l*q. Solve 2*i - 6 = q, 5*x + 10 = -0*i - 5*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192047.25 months in years?\nAnswer: 16003.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768*z + 469023 - 15591 = -12564*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.80170026 rounded to 2 dps?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*f = -f - 3, -4*t + 4*f = 0. Suppose q = 3*a - 105, -4*q - 438 = a - 4*a. Is q\/(-2) + t\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/11? (a) 337 (b) 2\/3 (c) 3992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (57\/(-5))\/((24\/(-28))\/((-690)\/(-483))). Solve -v*j + 100 = 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**6\/15 + 7*a**5\/10 + a**4 - 28*a**3\/3 - 40*a**2 + 379*a. Factor r(w).\nAnswer: 2*(w - 2)*(w + 2)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/10307 and -41\/9370?\nAnswer: 103070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Suppose -2*i + 2 = 3*u, -4*i + p = u - 4. Suppose u*f - 4*f - z = -647, 15 = 5*z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s. Suppose 3*y + 6 = s, -2*y + 3*y = -4*v - 62. Let p be (-5)\/(v\/(-48))*-1. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*x = 8 - 19, 2*c = 2*x - 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 31254162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17780810?\nAnswer: 2, 5, 17, 104593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*x - 222, k = x + 123 - 12. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/52)*b**(-2\/17))\/(b**17\/(b*b*(b*b**21)\/b)) assuming b is positive.\nAnswer: b**(5217\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1094 and -39\/5.\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-t + 0*t + 2*t)*(6138 - 25038 - 9999) to d*t + o and give d.\nAnswer: -57798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191 minus 53?\nAnswer: -53.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -892, -1069 in decreasing order.\nAnswer: 1, -892, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.38 + -10.88. Which is the third biggest value? (a) t (b) -1\/199 (c) -2\/5 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g - g - 5 + g - g. Let b(p) = p - 1. Let n(c) = 5*b(c) - d(c). Let h(j) = 2*j. What is h(n(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 9*q**3 + 222. Let s(a) be the first derivative of 4*a**3\/3 + 3. Calculate s(w(j)).\nAnswer: 2916*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 15*f + 2. Calculate the smallest common multiple of y(-15) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2461 - 2444. Solve 0 = 5*x + 22 - h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 144*x + 5. Suppose 3*b = 3*p + 78, 4*b + 3*p - 35 = 62. Let l be ((-40)\/b)\/(4\/(-10)). Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 3 = -2*o + 4*g, -3*o + 9 = -4*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 12. Let d(q) = -q**2 + 13*q - 18. Let j be d(12). Let h be ((-10)\/j)\/(15\/6). Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13213 + 13212.99976761. What is f rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 2. Suppose 3*u + 3 = -0. Let q be (-1)\/(u\/(-14)*2). Let i be y(q). What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6220 is divided by 1550.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1612 and 3107884.\nAnswer: 96344404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185033311 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:40 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106296339 by 3665391.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + 4 - 4)*(52 - 35 + 70) to the form n + f*i**2 + g*i and give f.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Suppose 0*q - q - o = 0. Which is the closest to -1? (a) 3\/5 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -63. Suppose 0 = -5*g - m + 31, -3*m + 15 + 0 = u*g. Let a be 4\/g + (-1 - -4). Do a and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4)\/(-2 - 15\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118 - (-47 - -110)) + -179?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-60)*(-624)\/(-1300).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 7 = 8*s. Let l = -31 - s. Let g be l\/(-30)*95\/(-2). Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2 and 31\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n**2)*(3 + 0*n**2 - 1 + 7*n**2 - 2*n**2 + n**2 + 3*n**2 + (n + 3*n - 5*n)*(-46*n + 17*n + 0*n)).\nAnswer: 38*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1612 + 6387\/4. Let w = y - -179\/12. What is the second smallest value in -4, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 20*v + 412. Suppose 3*p = -49*p - 2028. Is g(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -8*q - 11. Let x(s) = -s + 10. Let y be x(q). Let l(f) = f + 1. What is l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:07 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137888743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1225 divided by -96.\nAnswer: 1225\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 - 4*q - 5. Give m(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 90 = 21. Suppose -2*x - 3 = w. Let r = -18 - x. What is the highest common divisor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 4 - (1 + -3). Suppose s*d = i - 0*d - 341, 5*d + 5 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*k + 21, 3*y - k - 4*k - 6 = 0. Let o(i) = i**3 + 2*i**2 - 4*i. Let a be o(y). Let t(q) = -q - 3. Give t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4\/5, 15.9, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1+-0.1316004\nAnswer: -1.1316004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.96416 millilitres to litres.\nAnswer: 0.02896416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-8 + 23 + -8 + -12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15592 * 1264.\nAnswer: 197.08288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2 - (-23 - -5)) + (-19 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose -5*y + 7 = -0*o + 3*o, -r*y + 9 = o. Let u(b) = 5*b**2 - 2*b - 1. What are the prime factors of u(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d - 8215 = -182*d - 30510 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 10*x**2 + 11*x - 3. Let q be r(9). Suppose -4*v = q - 11. Let i(o) = -2*o + 4 + 3*o + 0*o - 5. Let d(h) = 3*h - 6. What is v*d(g) + 4*i(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 6.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29556 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 = a + 3, -42 = 4*l + 2*a. Let o(g) = -g - 7. What is the smallest common multiple of o(l) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 6*v - 1990. Let b = 570 - v. Suppose b = 7*q + 177. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 + c**2 - c**2 - 2*c. Suppose 0 = -x + h - 6, 0 = -x - h - 5 - 1. Let b = -5 - -16. Let v(k) = 7*k**2 - 4*k. Determine b*i(g) + x*v(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-900) + (-1)\/9?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39 times -643\nAnswer: -25077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -92*z**4 - 13*z**3 - 230*z**2 + 1617. Let g(n) = -30*n**4 - 4*n**3 - 77*n**2 + 539. Let t(d) = 2*a(d) - 7*g(d). Differentiate t(b) wrt b.\nAnswer: 104*b**3 + 6*b**2 + 158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.07\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-18)*(-12)\/32?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 183*y**2 - 152*y - 22422. Calculate w(-92).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -1\/3*n**3 - 3*n**2 - 7*n + 5. Suppose -2*m + 3*m + 3*r - 17 = 0, 3*r - 12 = 0. Let k(w) = w + 1. Give m*k(s) + d(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -7\/16 (c) -1.07 (d) -4\/3 (e) -12 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -640 + 9?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (7 - 11) - (2 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (860\/(-430))\/(6\/(-9)). Find w, given that -15\/2*w**3 + 0*w + 0 + 6*w**4 + y*w**2 - 3\/2*w**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/99)\/(-7))\/(((-56)\/(-16))\/7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + 64*f**2 - 62*f - 1. Let o be t(31). Which is bigger: -3\/472 or o?\nAnswer: -3\/472","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 - 253. Let h = -2.8 + 3. Let v be (4\/10)\/((-6)\/(-15)). Which is the nearest to z? (a) h (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 = c - 5*c, -a - 4*c = 2. What is the tens digit of -1 - ((-232)\/a - 3 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -3, 1\/3, -4\/11, -497?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5188*f - 306046. Give g(59).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a - 1. Let v(r) = 4*r**2 - 3*r + 8. Give v(y) + 5*w(y).\nAnswer: -y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/12)\/((-2)\/2004). Let w = 520 + f. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/8 + -5 - 41\/4. Let v be (-24)\/20*25\/w. Suppose -4*g + 25 + 9 = 2*d, 3*g - v*d - 39 = 0. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 591603*w - 65064230 = 0.\nAnswer: -591493, -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202110220001 (base 3) to base 15.\nAnswer: -7e657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -25 (c) -1 (d) 4 (e) -2\/21 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7421723 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96, -0.9, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -8. Suppose -z*m = m - 54. Sort 1, m, -5, 2 in increasing order.\nAnswer: -5, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 2. Let f be t(-7). Let k = f + -9. Let d(q) = -q**2 + 3. What are the prime factors of d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29\/99 - -1\/9. Let v = 3 + 0. Let k = v + -2.7. What is the third smallest value in k, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s = -3*h + 84, -4*s - 118 = -5*h. What is the remainder when 99 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-8)\/(-4))*(-2)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*y - 1826 = -0*y, 5*y = -10. What is the remainder when k is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11, -2, -4 in increasing order.\nAnswer: -7, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 2*n + 3. Let g be u(-3). Suppose g*z - 15 = z. Solve 4*r = -13 - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.061 - 3.261. Let c = 0.196 + -3.612. Let h = c - d. Round h to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59879 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 34*(-3)\/6. Let t = z + 30. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38716517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(98\/3)\/(-7). Let b be 4\/3 + d\/42. Solve 8 = -b*k + 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13041.9936 seconds in days?\nAnswer: 0.150949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 601.9542ml?\nAnswer: 0.6019542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.5 (c) -68 (d) 2\/97 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010001 - 1111100?\nAnswer: -1110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 79*o. Let w(t) = t**3 + t**2 - 4*t - 3. Let h be -5*((-6)\/(-5))\/3. Let r be w(h). Solve 4*b = -a + r - 14, 3*a + b + 17 = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*k - 8 = 0, -2*o - 47 = 4*k - 17*k. Put 4, o, -53 in descending order.\nAnswer: 4, o, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*d - 0*v + 93, d + 5*v = 31. Let w = d - 18. Let g(s) = 7*s**3 - 196*s**2 + s - 4. Calculate the remainder when g(28) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbofobof. What is prob of sequence ofb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) -2\/11 (c) 1327 (d) -2\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35*(-5)\/(-110) + 4\/44\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 - 5*u - 9. Let l be a(7). Suppose 0*y - l*y = -1795. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2. Let x(v) be the third derivative of 19*v**7\/2520 - 19*v**4\/24 + 23*v**2. Let q(w) be the second derivative of x(w). Give c(q(l)).\nAnswer: -361*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) + 0 + -8. Let s = 8 - u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 - 7 - 9 - 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30\/(-4)*-2*(-6)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3037*o**2 - 1470*o**2 - 1548*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 6*l**2 + 2. Suppose -a - 3*z = -8*z - 21, a = 4*z + 18. Let n be f(a). Suppose -2*k = n*u - 64, -3*u + k + 1 = -115. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/32 and ((-1)\/264)\/((-24)\/(-702)*1)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 281 = -259. Let r = p + 65. Let j = 49 + r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkwwwkhwwktuwkkkwww. Give prob of sequence ktwu.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122 and -0.2.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1006 times -7?\nAnswer: 0.7042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/2*(32\/(-3))\/(-4). Suppose 110*r + x = 118*r. Solve 0 = r*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**3 + 0 + 0*m**4 + 1\/30*m**5 + 0*m + 93*m**2. Let g(n) be the second derivative of -7*n**3\/6 + n. Determine l(g(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose m*g + 3 = d - 4*d, -4*d = 20. Suppose -v = g*v - 36. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-44)\/64)*(102\/12)\/(-17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j - 4*j - j + j + 2*j + (5 - 3 - 4)*(-2*j - 3 + 3) + 2*j - 1 + 1 - 4*j + 0*j + 3*j + (14 + 9 - 2)*(1 - 2*j - 1).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**2 - 4*f - 3. Let a be m(-2). Let b = a + -26. Suppose -5*u - j - 1 = -4, 0 = -3*u - 5*j + b. Solve -3*t - 2*t = u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47982 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -54862.\nAnswer: -54862.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + 10200?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5069\/259 + (-3)\/(-7). Solve 116 = f*z + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/4 - (-24)\/(-16). Which is the third smallest value? (a) 4 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/13 (b) -17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*m - 7*m + 47200006, -3*m + 35400015 = 5*u. What is m rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from fejjfftjjfffftfjjee?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89235008 to the nearest integer?\nAnswer: 9446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.196 - 6245?\nAnswer: -6245.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -129*y - 27. Let q(v) = 24*v + 5. Let l(i) = 5*f(i) + 27*q(i). Let p(a) be the third derivative of a**5\/15 + a**2. What is p(l(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*w + 528*w = 216 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4))\/(9\/(-162)*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3778*c = 3776*c + 2, 5*b - 19 = 2*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o - 4. Suppose 3*z - 2*f + 63 = -5*f, -42 = 2*z + 5*f. Let y(a) = -54*a + 15. Let s(j) = z*x(j) - 5*y(j). What are the prime factors of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.1, 1\/55, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/18 - 10*w**3\/9 - 3*w**2 - 3960*w. Find a such that c(a) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/8*2 + -2. Suppose -5*f = -d*f - 14. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 + -261. Solve -y = -3*w - 4*y + 9, r*y - 3 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 332. Let a = 162 + x. Let o be (-5 + 10)*(-8)\/(-70). Is o at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 1, w: 1, c: 6, j: 6}. Give prob of picking 3 c and 1 z.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 272\/28 - 2\/(-7). Let q = t - 6. Solve 0*u - q*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 9*h - 4. Let o be (40\/(-12))\/(1\/(-3)). Let w be c(o). Find the third derivative of 2*a**6 + 2*a**3 - 7*a**w - 2*a**3 + 5*a**2 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1762329 and -0.3.\nAnswer: -1762329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 52 - 206. Let q = -31 + a. Let y = 19 - q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*q**3 + 427*q**3 - 541*q**3.\nAnswer: 798*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25*w - 118. Let g be m(5). Suppose -2*r = -117 - 197. Suppose 0 = -4*u + r + 95. Calculate the highest common divisor of u and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 126*q**2 - 2156*q.\nAnswer: 2*q*(q - 14)*(q + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 9*(-8)\/(-12). Suppose -k + 3*s = -49, 167 + 22 = r*k - s. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177996?\nAnswer: 2, 3, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20) + 1\/3 + 4053\/315.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -52, -0.1, -0.5, -0.07 in decreasing order.\nAnswer: -0.07, -0.1, -3\/8, -0.5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23253, 46508, 69763, 93018, 116273?\n\"Answer: 23255*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a*s**2 - 285*a - 18*s**3 wrt s?\nAnswer: 8*a*s - 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3449, 2718, 1989, 1262, 537?\n\"Answer: c**2 - 734*c + 4182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519.19ml in litres?\nAnswer: 9.51919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 1. Let f be l(-2). Suppose 0 = j - f*b - 10 - 7, 2*b - 58 = -5*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 19 - 5 = 0, 0 = -662*l + 659*l - 3*y - 63 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/60 + 7*m**4\/24 - m**3\/6 + 2*m**2. Let f be y(-8). Let v = 11 - f. Solve -2*g + 2 = -v*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtzv when four letters picked without replacement from {t: 2, v: 2, z: 2, i: 7, h: 5}.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1958 - 1962. Let x = -3 - -1. What is the biggest value in x, 5, o, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2297\/2 + 1100. What is the common denominator of 31\/12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4572)\/(-14) - (-444)\/(-777)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*q - 615 = 2*t, -2*t - 238 = -2*q. Let s = t + 133. What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*f = -271*f + 36 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/13 + 528*q**2\/13 - 9430*q\/13 + 29400\/13 = 0 for q.\nAnswer: 4, 15, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - f = 10*y + 4, -5*y + 28 = 3*f. Suppose 5*k - 2*r - r = -11, 0 = k - y*r + 11. Which is greater: 1\/37 or k?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 1. Let z be (-18)\/(-10) - (-2)\/10. Let i be n(z). Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26261, -2, 0.11, 2\/21, 0.4, -0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 1. Let v = 9 - 12. Let j be k(v). Let u = j + -9. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.5 (c) 6\/253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 4*y)*(-5*y - y + 4*y) + y + 18*y**2 - 5*y + 7*y.\nAnswer: 8*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1050*j + 2. Let n(z) = 1051*z - 3. Let p(m) = -4*g(m) - 3*n(m). Let o be p(3). Suppose -32*k = -34*k + o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 28*c - 15177. Let y = c + 21928. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 5. Let u(j) = 6*j + 9. Let l be 5*(2 - 1) - -4. Let d(g) = l*a(g) + 5*u(g). Let x(o) = 6*o**2. What is x(d(t))?\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -81.65*895.64\nAnswer: -73129.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 607 + -574. Put 5, -0.1, l in descending order.\nAnswer: l, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -74\/25 (c) 1\/4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.15245 less than -0.65631?\nAnswer: -550.80876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + 0.5. Let i = -3 + 0. Put w, 3, i in ascending order.\nAnswer: i, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {n: 18, w: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from lellllee.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29190880 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231769 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 6, 4, -0.007, 2.\nAnswer: -1, -0.007, 2\/5, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3 + 2. Suppose 239 = u*h - 81. Let i = 190\/3 - h. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*sqrt(304) - sqrt(304)) + sqrt(304) + sqrt(304)*-3*2)**2 + (((1*sqrt(228))\/sqrt(12) - 6*sqrt(76)\/sqrt(4)) + 5)**2 + -3.\nAnswer: -74*sqrt(19) + 3234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -458, -4 in increasing order.\nAnswer: -458, -4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/60 + (-3)\/(-12). Let z = 13\/6 - v. Factor 0*o + 2\/5*o**2 - 2\/5*o**4 + z*o**3 - 2\/5*o**5 + 0.\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/30 + 106*p**4\/3 - 44944*p**3\/3 + 50*p**2 + 1. Solve s(b) = 0.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56944821, -56944820, -56944819?\n\"Answer: i - 56944822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2105724, -2, 5, 0 in decreasing order.\nAnswer: 2105724, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnannnnun?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 679 + 2.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 292.28964 from 1.\nAnswer: -291.28964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698797164*o**4 + 483037489 wrt o.\nAnswer: -2795188656*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-14) + 28386600\/1785.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3364 and -5?\nAnswer: -11.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44616 and 221.\nAnswer: 758472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110212220 (base 3) in base 12?\nAnswer: -5529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*t + t = -21, -5*t - 23 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5052 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*s - 17184 = -101*s. List the prime factors of s.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 28 = 4*m - 0*r, 0 = -m + 3*r + 20. Let f = 10 - m. Let k(u) = -2*u + f*u + 5 + u + 0*u. Determine k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/1628 + 5773524\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9123*v - 9047*v = -684 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 9. Let s = 4 + o. Suppose 4*i + 8*y = 5*y + 14, 0 = -2*i + 4*y - 4. Solve z - i*l = 3*z + 2, 0 = -5*z - 3*l + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62880 - -7?\nAnswer: -62872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -347*l**2 + 282*l + 4431. Give v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043197505 to 6 dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718782?\nAnswer: 2, 3, 119797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-21))\/((-2)\/4). Let o = -0.07 + 0.04. Let f = -0.17 + o. Which is the closest to m? (a) -2\/7 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 316, 641, 980, 1339, 1724?\n\"Answer: s**3 + s**2 + 315*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 18 + 0*g**3 + 0*g**3 + g**3.\nAnswer: g**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 - 62*n**3 + 190*n**3 - 129*n**3.\nAnswer: -n**3 + 664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341313023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 - 8*x**2 + 6*x**2 + (-x - 5*x + 4*x)*(3*x - 2*x - 2*x) - 780*x**2 + 96*x - 181*x + 85*x.\nAnswer: -785*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -2, -50.\nAnswer: -243, -50, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 14*z**2 - 198*z + 34. Let y be d(14). Let q(o) be the second derivative of -1\/5*o**5 + 6*o**2 + 0 + 10\/3*o**3 + 1\/3*o**4 + y*o. Factor q(j).\nAnswer: -4*(j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 2 - 4 + 2 + 2. Let m(c) = -1. What is -2*f(j) - 5*m(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 5 - (418 - 0))*-1. Suppose 416*z - 360 = o*z. Calculate the lowest common multiple of z and 18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/104035 and 35\/29.\nAnswer: 3017015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a - 18. Let b be j(-3). Suppose -11 = b*q - 17. Solve -c - 4 = -q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121100121 + 120123?\nAnswer: -120313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m - 10. Let g be p(-10). Let d = -39 + g. Is (d - 7) + (2 - -185) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 6*i - 142. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -331 + 249. Which is the second biggest value? (a) -0.5 (b) -3\/2 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25443649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-1*3 - sqrt(77) - sqrt(77))\/sqrt(7))**2 + 3*(sqrt(11) + (sqrt(88)*-2)\/sqrt(8))**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*c + 4 = 0, 2 - 15 = -j - 5*c. Let a(s) = s**2 + 2*s - 3. Let g be a(2). Suppose -5 - g = -4*l - 5*k, -5*k = -l - 10. Solve l*i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsnoonzz. What is prob of sequence nsn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92451710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*k**3 - 22*k**3 - 9*k**3.\nAnswer: 105*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9626 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 6*f**2 + 4*f - 7. Let l be r(3). Suppose 3*c - h = 16, 4*c = l*c + 5*h. Solve 5*m = 2*n + 25, -m = -2*n - 0*m - c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1261 * -0.1.\nAnswer: -126.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-498)\/(-8) + (-11)\/44. Let o = h - -41. Suppose v - 4*k - 69 = 0, -k - o = -2*v - 0*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i - 4. Let c(x) = x**3 + 6*x**2 + 5*x - 5. Let y be c(-5). Let r be g(y). Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7*h + 30 = -5*h, 66 = 3*w - 4*h. Let n(c) = c**2 - 14*c - 6. Calculate n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -164. Let m = -62 + z. What is the closest to 2 in -2\/5, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 25, 23, 5, -35, -103, -205?\n\"Answer: -v**3 + v**2 + 12*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p + i + 2140, 3*p - i - 6424 = 0. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*t - 57 = 0, 3*t = -3*h + 115 - 34. Solve -735*j + h = -731*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2114 + 152503?\nAnswer: 155021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 108, 2\/3, -23, 668?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -31\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23032052254 - 1?\nAnswer: 23032052253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -9 (c) 1.58 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.18 * 24.\nAnswer: -52.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 453 + -444. Calculate the smallest common multiple of x and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4454.032*-0.2\nAnswer: 890.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8537356 - 23.3199?\nAnswer: -24.1736356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y**2 - 158*y - 6. Let n(h) = -3*h**2 - h - 1. Determine 5*n(a) - v(a).\nAnswer: -a**2 + 153*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/60 + 577*q**3\/30 - 115*q**2 - 2556*q - 1. Find y such that a(y) = 0.\nAnswer: 2, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 i, and 1 z when four letters picked without replacement from irzrkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(1248\/(-80))*3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*l + 18 = 0, 3*o - 32 = -5*l - 70 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 6*o - 4. Let a(k) = -7 - 13*k - 6 - k**2 + 10*k**3 - 6*k. Let h(r) = 2*a(r) - 7*d(r). Calculate the least common multiple of h(-4) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 2 l when four letters picked without replacement from ncllnc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15324682.\nAnswer: 2, 1811, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -s + 4*a, -647*a + 645*a + 8 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(4 + -3 + sqrt(637) + 2 + -5) + -2 + 5)*6)**2.\nAnswer: -45360*sqrt(13) + 833652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.22369599 + -0.77629641. Let z = -21 - -35. Let d = f + z. What is d rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 179*t**2 - 2935 + 2935.\nAnswer: -183*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k + 95*k + 107*k + 105*k + 107*k - 518*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -392 - 808. Let m = z - -9633\/8. Find the common denominator of (6\/(-14) - 1898\/(-84)) + 1 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/154 - -3 - ((-4)\/(-1430))\/(77\/4620)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*v = 5, -4*k - 5*v = -0*v - 26. What is the thousands digit of (-18)\/k + 3 + 1337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/2 + 15*q**3 + 92*q**2 - 384*q - 1024 = 0 for q.\nAnswer: -16, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:45 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3930721.41 to the nearest one thousand.\nAnswer: -3931000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-4)\/6)\/((-32)\/16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 3317.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkso when four letters picked without replacement from spttsttkoks?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 389, 779, 1183, 1607, 2057, 2539, 3059?\n\"Answer: a**3 + a**2 + 380*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542768 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/8 + 21*k**3\/8 + 67*k**2\/4 - 21*k\/2 - 65 = 0?\nAnswer: -5, -2, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000054413 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 7, q: 6, d: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**7 + 0*i**5 - 1\/6*i**4 + 0*i**6 + 0 + 0*i**2 + i - 1\/28*i**8 + 0*i**3. What is the third derivative of p(l) wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*u + 2. Which is smaller: -2\/117 or u?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3316.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((693550\/(-15))\/(-26))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1220\/(-18) + 10\/(-45). Let m = v - -55. Let q(n) = -n**2 - 15*n. What is the remainder when 101 is divided by q(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61881 (base 9) to base 13.\nAnswer: -15769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*j**2 + 42*j**2 + 75*j**2 + 128*j**2 + 22*j**2 - 219*j**2.\nAnswer: 186*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m**(4\/9))\/(m*(m*m**(-3\/5))\/m*m*m**(-3)\/m))\/(((m\/m**5*m*m)\/m)\/(m**(-2)\/m))**(2\/37) assuming m is positive.\nAnswer: m**(317\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 3. Let n be l(4). Let s be 4 + (592\/20)\/2 + (-29 - -30). Is s at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/35)\/(k\/k**(-1\/3)*k))**(1\/3))**(24\/13) assuming k is positive.\nAnswer: k**(-1984\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 374.3 + -373. Let j(r) = r**2 + 7*r - 3. Let q be j(-8). Suppose 5*c = -0*s - 3*s - 13, -q*c = 10. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 32*a - 80. Give n(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 11 (c) -0.32 (d) -6 (e) 3 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35033.\nAnswer: 53, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1c - -6?\nAnswer: -c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(64\/24)\/8*8\/(-60)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.2731 from 10.\nAnswer: 6.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8228\/7480)\/(2\/(-20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1280*m - 4. Let n be d(4). Let f be 20\/170 + (957377\/(-187) - 1). Let j = n + f. What is the common denominator of 39\/5 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2 - 0. Suppose 5*i + 205 = 5*j, -y = 5*j - 2*i - 221. Suppose j = 3*l - 8. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - p**2 + 1. Let s be l(-1). Solve 0 = s*j + 3*v - 19, -j - 4*v + 5 = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x - 15 = 0. Suppose -2*q + x*h = -6*q + 92, 4*h = 2*q - 24. What is the smallest common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -213 - -1635?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27718 divided by -81?\nAnswer: 27718\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -5 - (3 - 6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, 39, 1 in descending order.\nAnswer: 39, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67a - e?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**3 + d**2 + (-2*d - 4 + d + 3)*(-3*d**2 - d**2 + 3*d**2).\nAnswer: 2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - s**3 + 2*s**2 + s + 3 + 0 - 4*s. Let a be w(3). Suppose 3 = 3*d - 3, -3*j + 2*d = 4. Solve a = -j*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (1 + -1 + 0). Let l(x) = x**3 + 3*x**2 - 4*x - 3. Let p be l(w). Let t(a) = a + 2. What are the prime factors of t(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 10*v**2 - 6*v + 7*v)*(40*v + 10 - 22 + 70*v + 10).\nAnswer: 1100*v**3 + 750*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/20 - 11*d**4\/12 + 11*d**3\/3 - 6*d**2 + 2*d + 1. Does 23 divide s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (562\/1405)\/(2\/(-8)*-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1404*m**2 + 3 + 1440*m**2 - 2853*m**2 + 5 - 26 + 18.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-4*5 + sqrt(33))\/sqrt(11).\nAnswer: -19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*a + n, 5*a + n - 16 = 2*a. Let u(q) = -q**2 + 8*q - 7. Calculate u(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 5*n = 138990, 4*n = -5*g + 139008. Round g to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -28*u**2 + 323*u - 12. Let h(b) = 19*b**2 - 231*b + 8. Determine -7*h(n) - 5*q(n).\nAnswer: 7*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*t = t - 21, -5*t + 28 = -4*p. Suppose -3*j - j = -32. Let v(d) = d**2 - d**2 - 2*d - d**2 - j - 7*d. Give v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1086.2 + -1103. Sort 3\/7, k, 0.3 in ascending order.\nAnswer: k, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:47 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 9*t + 12*t - 42*t + 10*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 7171, 3, -0.033, -5.\nAnswer: -5, -0.5, -0.033, 0, 3, 7171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-7)\/(42\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 4) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 161713172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14574.72 - -14342. Round n to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1626766552 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*a*x**4 + 4*a*x**2 + a*x - a wrt x?\nAnswer: -1728*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -397 in -413.64, -0.1, -0.2?\nAnswer: -413.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -444710 - 30?\nAnswer: -444740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*s - 25 = 0, -2*i + s + 2*s = -15. Factor -1\/5*d**3 + 0*d + i*d**2 + 0.\nAnswer: -d**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let x(q) = 7*q + 4. Let s(a) = 5*o(a) + x(a). Suppose 0 = 3*b - 2 - 1. What is s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l + 2*z, 0 = -z - 3*z. Suppose -l*k + 54 = -40. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/3, -2\/69, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4176091319 + 1872.45.\nAnswer: 1872.0323908681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 + 6*p - 3. Let f be q(7). Let j be (2\/(-4))\/(f\/(-4)). Let z = 4.881 + 0.119. What is the nearest to -1 in j, -5, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1685280.154 to the nearest 100.\nAnswer: 1685300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/41 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3caca - 4?\nAnswer: -3cb01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 327127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) -0.5 (c) -11\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -0.28. Suppose 5*k = 2*q + 19, -13*k + 8*k + 28 = q. What is the nearest to -1 in -1\/2, q, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29306282 + -47012238. Let a = g - -35521125. Suppose -h = -5115169 + a. Round h to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -443\/12?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*k**6 - 1784*k**5 - 114584*k**2 wrt k?\nAnswer: 1560*k**3 - 107040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*q**2 - 88*q**2 - 2 + 2*q**4 - q**4 as m*q**4 + g*q**3 + t*q + a + p*q**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/21*(1\/(-4))\/(-1). Is 5 a factor of 0 - ((-2 - 57) + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i - 4*i**2 + 2*i**2)*(3 - 3 - 6).\nAnswer: 12*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32559.8005 and -2.\nAnswer: -65119.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**6\/3 - 5*f**3\/3 + 9. What is the third derivative of m(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 128797242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.9344nm in micrometers?\nAnswer: 0.0699344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1222 = 20*t - 18*t. Suppose -54 = h - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1587, 1 in descending order.\nAnswer: 1587, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 5 - 5 + 63*f - 72*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 351*a**3 + 3258*a**2 - 5136*a = 0. Calculate a.\nAnswer: 0, 2, 8, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) + sqrt(130) + 1*sqrt(130)))\/(sqrt(1500)\/sqrt(6)).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.87134um in millimeters?\nAnswer: 0.05087134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*q + 10 = 0, 2*z + 4*q + 17 = 1. Let r be (4 - -3 - 5)\/(z\/157). Let t = r - 48. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p*p\/(p**(3\/41)\/p))\/p))\/p)**29*p*(p*p**(-1\/29)*p*p*p)\/p*p**(-10) assuming p is positive.\nAnswer: p**(-39133\/1189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7646.908 grams to micrograms.\nAnswer: 7646908000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 11*r**2 + 10*r - 18. Let q be n(-9). Suppose -2*k = 5 - 27. Suppose -k*w + q = -10*w. Is 55 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440358\/1380 + -319 - (-941)\/(-10).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (40\/(-15))\/((-266)\/(-201)). Let y be (5\/20*0)\/(2 + -1). Is k less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17396 and 156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*10)\/(13\/(481\/(-444)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 296 = 54*v. Solve -v*a - 11 = y, 5*a = 2*y + 2*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -0.74. Let d = l + -1.3. Let s = -2.3 - d. What is the closest to -1\/2 in s, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/716 and -121\/144?\nAnswer: 25776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-15) + 28\/(-35). Suppose -b = -f, 3*u + 13 - 51 = -5*b. Put u, -4, 2 in descending order.\nAnswer: u, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*k**2 - 88*k**2 - 86*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/792 and -149\/660?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(1\/2). Let z(u) = u**2 + 4 + u + y*u**3 - 2 - 4*u**3. Suppose 19*h = 6 + 32. Determine z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 4) to base 5\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 8388817375551?\nAnswer: -8388817375551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9\/1127, 2, 28?\nAnswer: -9\/1127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 10 = 2*q + 5*o, -2*q + 3*o - 25 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. Is 1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 + -18.71. Let k = 20 + z. Which is bigger: 0.03 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/12)\/(-11)*(-15)\/30\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002110200022 (base 3) to base 4.\nAnswer: 12101012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*k = 1, 17 = 3*x - 4*x - 5*k. Solve x*g + 1 = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108\/329 + 2\/47. Let i = -0.069 + -0.031. What is the closest to o in 0.6, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 90. What is the nearest to -0.1 in -2, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 0 = 0. Suppose -2*o = -4 - g. Suppose 3*z - 140 = 2*w, -5 = -o*w + 1. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13)*f**(1\/4))\/(f**0*f*f*f)**(11\/8))**(-15\/7) assuming f is positive.\nAnswer: f**(5805\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 1, -969 in decreasing order.\nAnswer: 154, 1, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.28 + -30.72. Let x = -32.0000149 - z. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 19. Suppose -3*d + 21 = -0*d. Sort 3, m, d.\nAnswer: m, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {m: 1, e: 4, z: 1, t: 1, h: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, 0, -2, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 109*h - 57 = -104*h, -4*h = 3*u - 51 - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7533582, -7533559, -7533536, -7533513, -7533490, -7533467?\n\"Answer: 23*p - 7533605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*(-10)\/580.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252787787 rounded to 5 dps?\nAnswer: 0.25279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + -1390?\nAnswer: -13d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 1 + 1 - 3*u + 0*u**2.\nAnswer: 8*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1 + 1\/3*d**3 + 0*d**2 + 66*d. Let o(y) = -10*y - 6. Let i(q) = 9*q + 7. Let l(t) = -6*i(t) - 7*o(t). Determine b(l(p)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + x**2 - x + (0*x + 3*x - x)*(974 - 492 - 487 + 103*x) to the form w*x**2 + y*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*f - 66*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 105.4045 centuries?\nAnswer: 126485.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -4*f. Let k(g) = -5*g**3 - g**2 + 2*g - 4. Let j be k(-6). Suppose a - j = -f*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5113 + 5113. Which is bigger: o or -47\/59?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*h + 11, 0*o - 62 = -4*o - h. Suppose f = 2*f - 42. Calculate the remainder when f is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 9 = k + k, 0 = 5*k + 2*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w**(-3\/2)\/w)*w)\/(w\/w**(-1\/4)*w))\/(w**2)**(9\/8) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffz when four letters picked without replacement from zzzfzzzzzzzzzzzzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 940 divided by 3\nAnswer: 940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -2*p + 11*z - 2, -5*z = 3*p - 19. Suppose -4*h + 2*u - 6*u = 4, -13 = 3*h + 5*u. What is the remainder when h is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2230?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, u: 5, s: 3}. Give prob of sequence us.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4068218626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962*u - 16680 = -972*u. Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 - 11 = 0. Suppose 0 = -2*p - j + z, 0 = -2*p + 6*p - 3*j - 1. Is p\/((-20)\/105)*-4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 3, t: 1, b: 6}. What is prob of sequence mt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - (-82)\/8)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2 + 4*t**2 + 1 + 1. Let r(j) be the third derivative of -j**3\/3 + 11*j**2. Let f(h) = h + 6. Let n(o) = 2*f(o) + 6*r(o). Calculate x(n(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/840 + v**6\/240 + v**5\/20 + v**4\/6 - v**2. Let u(j) be the second derivative of t(j). Suppose u(p) = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 378*q + 924*q + 2426*q.\nAnswer: 3728*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103751272 to the power of 1\/2, to the nearest integer?\nAnswer: 10186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 15840?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9226, -18439, -27652?\n\"Answer: -9213*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3942? (a) 2 (b) 0 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 - j**2 + (3*j - j + 0*j)*(2*j + 2 - 2) - 2*j + 2*j**2 + 2*j + 4*j**2 - 2*j**2 + 0*j**2 + (-4*j + 2*j - 2*j)*(3*j - 4*j + 0*j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/450412 + 19592215\/318441284. What is the common denominator of 101\/154 and g?\nAnswer: 15554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -125. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/(179\/1074)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 24*u + 5. Let h be b(-6). Sort 6, h, -1.\nAnswer: -1, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*q - 10 = -2*n, 2*q + 6 = n. Suppose 0 = g + 2*v + n*v + 20, 0 = -2*g + 2*v. Is g != -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11972 = -5*i - 3*k + 36226, -4*i + 3*k + 19387 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 1, s: 5}. What is prob of sequence zs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j + 3. Suppose 3*r - 5 = 4. Suppose 0 = -r*m + 8*m + 15. Calculate i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 - 114*s**5 - 211*s**2.\nAnswer: 120*s**3 - 6840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 42 = 8. Let a be (6*15\/6)\/1. Suppose -13*x + 8*x = -a. Solve -x*b - 2*b = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1209 and -68\/195.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:54 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1466 or 1?\nAnswer: -3\/1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746669516?\nAnswer: 2, 23, 8115973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/120 + l**5\/10 + l**4\/4 - 5*l**3\/6 + 6*l**2 - 9*l. What is b(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62546999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128461375 and 55?\nAnswer: 1413075125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -774e (base 15) to base 9.\nAnswer: -37602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -361740?\nAnswer: 361740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-315) - (581\/252 - 5\/(-1))\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 31. Let h = 364 - 85. Let i = -1957\/7 + h. Are d and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -11.12. Let g = 11.1 + w. Let m = 0.13 - 6.13. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f - 26 = 4*i, -3*i - 15 = 0. Let g be f\/(-3 + -3)*36. Find the common denominator of -81\/2 and 574\/48 + (-4)\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w - 7. Determine b(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42441095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/7 + 58*b**2\/7 + 110*b\/7 + 54\/7 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150890 is divided by 37721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -433312 - 410163. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3370*o - 535*o - 1506*o as k*o + t and give k.\nAnswer: -5411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 15*l. Give w(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6437 - 64369\/10. Calculate the common denominator of 67\/182 and z.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:36 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + (-2 - -3) - -8 - 4 - 71.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 58. Let a = -350.7 - -278. Let f = a - z. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 20*f + f**3 + 13 - 4 + 7*f**2 - 5*f = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1608471688.99935 - 1608143409. Let c = -328295 + n. Let u = c - -15. Round u to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-41)*x)\/(x*x**(3\/10)))\/((x**(-9)\/x)\/x*x*x**(-2\/143)*x) assuming x is positive.\nAnswer: x**(-46169\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 - -148 - (1 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 3)*(2*u - 3 + 3) + (-u + 77 - 77)*(21*u + 483 - 483).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 1 (c) -113.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700)*-2)\/sqrt(9))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 49 = -4*m, m - 13 = k + 2. Let c be k\/(44\/48) - 1. Let l = c + 24. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4 - -4)) + 4 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from ualaauuubuuaubaab?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 69*p**2 - 245*p - 12257. Give n(-70).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 76900 to the nearest one hundred.\nAnswer: 76900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -693ab5 (base 14) to base 7.\nAnswer: -42312115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.6111444 to zero dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 15. Let a be d(-3). Suppose t - 70 = 4*i - a*t, 5*t = -3*i - 41. Let o = -18 - i. Is -1\/3 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 712.3031 decades?\nAnswer: 85476.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 7*j - 7. Let c be h(-5). Suppose 0*d - 3*d + 12 = 0. Suppose d*v = 5*v. Solve -c*g + 4*f - 14 = v, -4*g - 20 = g - 5*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7328 - 6999. What is the remainder when a is divided by 207?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-6)\/(-2)*-1. Suppose -4*m - 2801 = -0*m + p*l, -2*m = l + 1399. Is m\/(-9) + 4\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26 - 3*f - 36 - 16 + 91. Suppose -2*d - 45 = 3*d. Does 20 divide c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-8 + 1 - (10 - 81 - -91)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7364 or 2054?\nAnswer: 2054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 349454772 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, -4, -1 in descending order.\nAnswer: 23, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 + 7\/120*f**5 + 1\/24*f**4 + 0*f**2 + 3*f + 2\/3*f**3. Let k(l) be the second derivative of c(l). Give k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -67*j**2 + 4*j**3 - 2*j**3 + 34*j**2 + 32*j**2. Let b(d) = -d**3 + 6*d**2 - 3*d - 8. Let x be b(5). Give k(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*j**5 - 1847*a*j**4 - 87*a + 12*j**2 - j wrt j.\nAnswer: -60*a*j**2 - 44328*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at least 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - -1) + (0 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(-36)*(j*j*j**(2\/7)*j)**(-31))**(-46) assuming j is positive.\nAnswer: j**(32798\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20101010 (base 3) to base 7\nAnswer: 16356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l - 235 - 110 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8)\/((-20)\/37792). Let i = -474 + o. Sort -1\/2, -4, i in descending order.\nAnswer: -1\/2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 27929 in decreasing order.\nAnswer: 27929, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153))\/sqrt(9) - (sqrt(833) + 0).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*n**3*t**3 - 103962*n*t**3 + 30489990*t**3 wrt n?\nAnswer: 33*n**2*t**3 - 103962*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y - 3. Let p(x) be the third derivative of -x**4\/12 + 6*x**2. Calculate p(l(z)).\nAnswer: 26*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -896 + 950. What is the greatest common divisor of f and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4872 - 4871.994317. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 457\/17 + -7*2\/(-119)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 153?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93.95 - -0.05. Let v = k - 94.014. What is v rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*x + 0 + 34 - 156*x)*(3 - 3 + 2*x**3).\nAnswer: 6*x**4 + 68*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (-9)\/(0 + 3). Let a(z) = -2*z + 4*z**2 + 5 + z + z**r + 0*z**3. Let c(l) = l**3 + 3*l**2 - l + 4. Give -4*a(o) + 5*c(o).\nAnswer: o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3253*v + 97602. What is f(30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18847 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + b810a1?\nAnswer: b810a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(429)*-2)\/sqrt(11))\/sqrt(3))**2 + 1*sqrt(1573) + 5 + ((sqrt(637)*1)**2 - (-2 + (sqrt(208))**2) - (sqrt(832) + (sqrt(832) - -1*sqrt(832)*5)**2)).\nAnswer: -29464 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-704)\/1584 + (-21206)\/(-774).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14256 and 335208.\nAnswer: 199113552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29984a (base 12) to base 10.\nAnswer: -701050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(6\/36)\/(4\/12). Suppose w + p*w - 4*f - 7 = 0, 2*w - 4 = -2*f. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 33. Put 0.2, z, -1\/4 in descending order.\nAnswer: 0.2, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**2 + 60*b + 23. Let v(s) = -5*s**2 + 29*s + 11. Let r(n) = 3*m(n) - 7*v(n). Let c be r(5). Solve -i + 0 = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5322631442?\nAnswer: 2, 1123, 2369827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:55 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 149. What is the units digit of l(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 857288 (base 10) to base 6\nAnswer: 30212532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 40685031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/977939 or 0?\nAnswer: 12\/977939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20786.\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*n - 2)*(n - 2 + 2) + 163*n + 242*n - n**2 - 290*n to the form s*n**2 + u*n + k and give u.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565596371.\nAnswer: 13177, 42923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**3 - 11*f**3 + 5130*f**2 - 5130*f**2.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22d0 (base 14) in base 6?\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 2*q**2 - 12*q - 3. Determine t(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -2) + -70*23\/138 + (-8)\/20\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 578103.49 and 4306.198?\nAnswer: 573797.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 20 = -2*h - 2*g, 3*h - 9 = 4*g. Suppose 5*w - h*w = -8. Calculate the remainder when 9 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 n when four letters picked without replacement from {n: 4, e: 3, s: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:03 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 2:42 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 + 209 = -5*d - s + 414, 2*d = -s - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -222688 + -2?\nAnswer: -222690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*r + 1514*r + 280*r + 414*r.\nAnswer: 2737*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4622 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 2, k: 1, c: 3, a: 3, j: 1}. What is prob of picking 1 g, 2 c, and 1 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -226 (c) 4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*c + 150*c - 14*c**2 + 2 + 43*c**4 - 46*c**4 - 3*c**3 as g*c**3 + b*c**2 + t*c + h + a*c**4 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (27 - (-3 + 3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 1 + 1)*(-3 - 1 - 3) in the form c + x*m and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134993779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 24 = 7*u - 38, -2 = 3*t - u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/209109 + 9408961\/98699448. Calculate the common denominator of z and -53\/4.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c - 3*c - c. Let s = 44 - 26. Let l(v) = s - 18 - v. Calculate i(l(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457 (base 12) to base 16.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2459, 3916, 6349, 9758, 14143, 19504?\n\"Answer: 488*h**2 - 7*h + 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 24*o**2 + 62*o + 14. Calculate d(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*w - 131*w - 80*w to f + d*w and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51850047.\nAnswer: 3, 199, 86851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 16*w = -13*w + 36, p - w = -3. Suppose 3*d = 2*r - 4 + 3, -2*d = 6. Put p, 5, r, 54 in increasing order.\nAnswer: p, r, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(-33)*-1 - 418\/(-1350) and -88\/75?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 5, 3, 371, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 2 (b) -0.3 (c) -3 (d) 6\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - 84\/36. Let u = -26089\/10 + 2598. What is the common denominator of u and y\/(-12) + (-137)\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10736 - 2718. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.34 - 9.3398188. Round z to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 7*c + 19*c to the form h*c + k and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -951.12 - 176.2?\nAnswer: -1127.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2637554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 0, 3*z - t - 17 = -3*t. Suppose -z*p + 1 + 14 = 0. Suppose 57*i + 4 = 58*i. Solve -p*f = -6 - i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*q + 248*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1299*w**2 - 5*w - 18768?\nAnswer: 2598*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*o + 50*o + 52*o)*(-5 + 1 + 1).\nAnswer: -438*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*g*r + 3*f*g - 2*f*n*r**3 + 2*f*n*r - 13*f*r + 4*g*r**3 - n*r**2 - 33*r**3 wrt r?\nAnswer: -12*f*n + 24*g - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00186372 rounded to 5 decimal places?\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14670120 by -14670120.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.99*-7843\nAnswer: 7764.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 11*y**2 + y - 5. Suppose 7*l = 10*l - 9. Suppose -15 = -w + 2*q, l*w = -3*q - 11 + 38. Let o be m(w). Solve -j - o = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1603?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -9*w**6\/5 - w**4\/6 - 88*w**2 - 2*w - 91. What is the derivative of r(c) wrt c?\nAnswer: -216*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -7126?\nAnswer: -35630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -11140696.\nAnswer: -3\/2785174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 739*z = 28861 + 21539 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*4\/(-6) + 1. Suppose 2*y = -2*x + 1 - 3, -3*y + 5*x = -i. Let m be y\/1 + 1000000\/5. What is m rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1126.1 and 5.4625.\nAnswer: -6151.32125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = w - 102067, 0 = -4*r + 5*w + 135245 + 68882. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 135 = -15*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 27*v + 30. Let c be l(0). What is the greatest common divisor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -248, -380, -520, -674, -848, -1048, -1280?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(-14)\/((z\/(z*z\/(z**(2\/11)*z*z)*z))\/(z*z\/((z**(-6)*z)\/z)))*(z**1)**(-13\/4)*(z\/(z**(-2\/3)*z))**16 assuming z is positive.\nAnswer: z**(2473\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244029.\nAnswer: 3, 81343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2 + 2*z - 3. Let y be l(9). Suppose -y*b = -661*b. Solve b = -3*a - 4*q - 5, -2*a - 3*a + 3 = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-130)\/(-13)))\/((297\/270)\/((-3)\/(-1)))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4))**(-2\/133)\/(l\/(l*l\/(l**(2\/9)*l)*l))**(-34) assuming l is positive.\nAnswer: l**(-63335\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (490\/(-49))\/((-3)\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22 and 131\/2459424.\nAnswer: 2459424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -0*a + 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20537, 2, 839 in increasing order.\nAnswer: 2, 4, 839, 20537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567, 2, -3 in increasing order.\nAnswer: -567, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/18)\/(5\/30). Let q(p) = -4*p**2 + 19*p + 23. Let c be q(w). Sort c, -1, -4 in increasing order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(4 + (4*sqrt(931))**2*5).\nAnswer: 148968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*r + 2308, 5*r - 20*z = -17*z + 3836. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002035285652 to seven decimal places.\nAnswer: 0.0002035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14640 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 = 101*i + 4*t - 7, i - 30 = -2*i - 4*t for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-35)*(-3205)\/3846\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**3\/3 + q**2\/2 + 2*q - 3. Let n be z(-1). Let d be 2*2\/4*n. Which is smaller: d or 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from zzffffzzfnzznfz?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 26761.\nAnswer: -29\/26761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o - 5*o - 28 - 13*o**3 - 3*o with respect to o.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let t = x - -9. Suppose 3*m = -4*z + 42, -z = m - 2*z - t. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -85. Suppose 2*i + a*r = 689, -r + 695 = 9*i - 7*i. Does 40 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/6)\/((-10)\/(-25))*(-3483)\/1935?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 644565 (base 14) to base 6\nAnswer: 200414421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 3*h - 46, 2*x + 4*h - 48 = 0. Let l(i) = 11*i**3 + 4*i**2 - 4*i. What is the remainder when l(2) is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n - 40. Suppose 0 = -0*z + 2*z - n. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 60 (c) -1\/3 (d) 0.123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 54*v**2 + 2*v + 73. Let s(n) = -2*n + 909. Give b(s(o)).\nAnswer: 216*o**2 - 196348*o + 44621065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*t**3 + 66*t + 76*t + 14 - 211*t + 69*t in the form f + u*t**2 + h*t + a*t**3 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 1584. Let c(l) = -19*l + 5808. Let i(r) = 6*c(r) + 22*v(r). Let m be 4\/(0 - 2*-1). Let u(p) = 5*p**2 - 4*p**m - 3*p**2. Give i(u(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 2)*(2*f**2 + 2*f**2 - 16*f**2).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 3, m: 4, u: 2}. Give prob of sequence mm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*j - 7 + 43, 48 = -5*y + 4*j. Which is the second smallest value? (a) -4 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11872, -10974, -10096, -9238, -8400, -7582, -6784?\n\"Answer: -10*o**2 + 928*o - 12790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/270 and -83\/282168?\nAnswer: 4232520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 16*m**2 - 53*m - 126. Let d be n(-10). Solve 2*z + d*k - 22 = 0, -k + 19 = -z + 3*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45280 is divided by 22486?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-4 - -5 - (12 - 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s + 62. Let d be z(-10). Let -7*w**2 + 6 + 2*w**d - 105*w**3 - 3*w - w**2 + 108*w**3 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 19. Let j be w(8). Let p = j + 126. Put p, 0, -1 in ascending order.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 5b62?\nAnswer: -5b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*-7.33\nAnswer: 29.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 746116318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5303 + -1\nAnswer: -5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412372?\nAnswer: 2, 3, 201031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 + 73*t + 52. Calculate l(12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (11 - 2) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 122 = -30*l - 283 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 23 + 27. Let w = 8 - q. Solve 5*k = 2*f + 15, -k - w = 4*f + 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*u + 7. Let x be (-8)\/(-3) - (-5)\/((-15)\/u). Solve -x*t = -t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.249 * -611449\nAnswer: 152250.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 10:30 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + u = 95 - 4, -u + 3 = 0 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580289 is divided by 4298.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -3249.\nAnswer: -129.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -3)*-8 - 2. Let x be (-34)\/3*d\/4*-1. Suppose 0 = 6*h - 157 - x. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 2\/9 (c) 2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5045 (base 6) to base 14\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101202002000 - 101121?\nAnswer: 101201200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 453881 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -530961676 - -88.47\nAnswer: -530961587.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7\/2)*c*(c**(-2\/3)\/c*c)\/c*c)\/(c\/(c\/(c\/c**7))*c*c*(c*c**(-3\/4))\/c*c*c))\/((c\/(c*c\/c**(-2)*c))**(-19))**(2\/3) assuming c is positive.\nAnswer: c**(-613\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -52331?\nAnswer: -52318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40963863 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4 + 4)*(-1 + 2 + 11).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 40. Suppose 0 = -8*y + l*y. Solve y = 3*k - 3, -o - 4*k = -3*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0*j**5 - 76*j**2 + 1\/6*j**6 + 0*j**3 - 13 + 5\/12*j**4 + 4*j. Differentiate b(v) with respect to v.\nAnswer: 20*v**3 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, -6, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69733*t**5 - 2*t**2 - 56*t + 153.\nAnswer: -4183980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/84 and 95\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 77 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320228514 to the nearest integer?\nAnswer: 17895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*((1*sqrt(99))**2 + sqrt(99) + 1)*5 + -2*-5*(1 + sqrt(99)) + 0).\nAnswer: -4040 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s - 4. Calculate the lowest common multiple of 6636\/77 - (3 + 248\/(-88)) and l(-2).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) 0 (c) -1 (d) 0.075\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z + 113*z + 126 = 0. What is the common denominator of 103\/42 and (7 - (-436)\/(-56)) + (2 - z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-30) + 414\/180 and 47\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17871140.\nAnswer: 2, 5, 7, 107, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*k**5 + 0*k**5 - 22*k**2 - 13*k**6 + 36*k**2 wrt k?\nAnswer: -1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -18*g - 45. Suppose 4*i + 4 = 36. Let l(q) = -12*q - 30. Let o(k) = i*l(k) - 5*t(k). Differentiate o(j) with respect to j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v + 1. Determine y(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 82. Let q be r(-21). Suppose 0 = 16*l - 17*l - 2, -q*d + 5*l = -14. Factor -4\/19 + 18\/19*k**d + 14\/19*k.\nAnswer: 2*(k + 1)*(9*k - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1096830 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23188 = 8*r + 23*r. List the prime factors of r.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 19*v - 7. What is j(-17)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.6034015 minutes to days.\nAnswer: 0.005974584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 31, 4, -0.1, 0.528?\nAnswer: 0.528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -9, 0, -1, 387 in descending order.\nAnswer: 387, 3, 0, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2969, 6555, 10153, 13763?\n\"Answer: 6*w**2 + 3568*w - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.4, -1\/8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -375 + 2327\/6. Find the common denominator of -139\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 20*v**2 + 1019*v**3 + 4*v - 22*v**2.\nAnswer: 1019*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/120 + o**5\/10 - 17*o**4\/24 + o**3\/3 + 3*o**2. Suppose -15 = -8*z - 79. What is the units digit of b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/5))**(-14)\/(r**(-1)\/r*r*((r\/(r**(-3\/7)\/r)*r)\/r)\/r))**(1\/26) assuming r is positive.\nAnswer: r**(-701\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-3*4\/(-6) + -2). Solve i*b - p = b - 7, -5*p = -b - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a + 18. What is q(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Solve 3 = -r*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 14 = -3*b, -840*h = -4*b - 1674*h + 831*h - 37 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let d be t\/5 + 5\/(-25). Solve 6 = -3*m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196 + -191)*(-1)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -s - 0*s - 6, -k - 5*s - 22 = 0. Find the common denominator of -43\/6 and k\/(-57)*(-10200)\/(-640).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (1 - -7)) + -4 - (-3 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 42, -8, 3, -4, 22?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:55 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -13. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = -6*n. Let k(v) be the second derivative of v**4\/6 + 7*v**3\/6 + 2*v**2 - 5*v. Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*r + v, 0 = -0*v + v. Suppose 2 - r = 4*d. Let y = 0 + 0.1. Which is the third smallest value? (a) -0.08 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**3 + 3*t**3 + t**3 + (0 + t**3 + 0)*(4 - 6 - 2) + t**3 - 3*t**3 + t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(-2\/3)\/g)*g**(-1\/6) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-372)*((0 - 9) + 0).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from acriuctttcuuii.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401751 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/263160 and 127\/7740.\nAnswer: 263160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**5\/15 + 5*p**4\/12 - 2*p**3\/3 + 6202. Find z, given that w(z) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 444 - 444. Let q(y) = 11*y**2 + 6*y - 24. Let c(g) = -527*g**2 - 289*g + 1156. Let n(b) = 6*c(b) + 289*q(b). Calculate n(s(d)).\nAnswer: 1088*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 at least 23369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32111, -64218, -96325, -128432, -160539, -192646?\n\"Answer: -32107*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 19173 = -143*q - 53*q. Let n be (3\/(-6))\/((-2)\/(-140)). Is (4 + q)*n\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418037 is divided by 1515.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1)\/((-9)\/(-351)). Let o be t\/(-84) + (-4)\/(-14). Which is the nearest to 1? (a) -0.4 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.967574ng to grams.\nAnswer: 0.000000000967574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*o + 2 = 49, a - 3*o = -17. Let p = a + 18. Solve 27 = -5*r + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 + 7*x**4 - 134*x**3 + 558*x**2 - 891*x + 459 = 0. What is x?\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.22 - 36.22. Sort k, 1\/46, -0.4, -1, -0.5 in descending order.\nAnswer: 1\/46, -0.4, -0.5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1834, -7350, -16544, -29416, -45966, -66194?\n\"Answer: -1839*i**2 + i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-6)\/(-9)). Let y be ((-18)\/(-8) - z)*-4. Let k(d) = -d**2 - 7*d - 5. What are the prime factors of k(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008395 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 29302*l**2 + 430589986*l + 37665344816.\nAnswer: (l + 88)*(l + 29258)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105408 divided by 366.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 131*q**2 - 4271*q + 6966. Determine v(76).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1512.535 to the nearest integer.\nAnswer: -1513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0575316\nAnswer: -0.2301264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/15 - 5*s**4 - 58*s**3\/3 + s**2 - 44. Suppose z(h) = 0. What is h?\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + v = -6, -339*v - 31 = -2*k - 328*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 s when four letters picked without replacement from {s: 3, k: 4, n: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = 0. Suppose 6 + i = 2*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013280855.\nAnswer: 5, 43, 9364097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -452063, -452054, -452031, -451994?\n\"Answer: 7*r**2 - 12*r - 452058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 9958*r - 9976*r = 54, -4*c - 3*r - 159 = -0*r for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 2749?\nAnswer: -273c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000479663 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 788, -8, 1\/4 in ascending order.\nAnswer: -8, 1\/4, 788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3983966 and 5944?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12021222201?\nAnswer: 12021222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -3\/2*v**4 + 0*v + 0*v**3 + 1\/168*v**8 - 1\/21*v**7 + 36*v**2 + 7\/10*v**5 + 1\/60*v**6 + 0. Find r such that z(r) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.3 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 602 + -615. Let y(m) = 3*m**2 - 2*m**3 + 2*m**2 + 12*m - 13 + m**3 - 17*m**2. What is y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14968, 14970, 14972, 14974, 14976, 14978?\nAnswer: 14980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 5*o - 4*o**2 + 0*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2095385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 9*n**2 + n + 5. Let o(i) = i**3 - i**2 + i + 1. Let w(m) = b(m) - 2*o(m). Let l be w(-7). Suppose k = -k + l. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -1264, 3\/7, -5.3, -4\/5 in decreasing order.\nAnswer: 3\/7, 0.16, -4\/5, -5.3, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -444. List the prime factors of m.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 6*s + 2. Let w(k) = 7*k**3 - 13*k - 4. Suppose 71 = 6*d + 17. Determine d*o(c) + 4*w(c).\nAnswer: c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/3)\/((-715)\/66). Let j = i - 3\/13. Factor -1\/5*v**2 + 1\/5*v - j*v**3 + 0 + 1\/5*v**4.\nAnswer: v*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-3)\/((1*sqrt(100))\/sqrt(10)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:39 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/108 and -125\/66?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33421705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 8 + 3 + 5 + x as u*x + g*x**2 + t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.28651ml to litres.\nAnswer: 0.02028651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -201471.94.\nAnswer: 1611775.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12, 2*c - 16 = -3*h - h. Suppose c*y = -y + 18. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8308919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -3*sqrt(11) + 2 + -5)**2 - -5*(sqrt(704) + 1).\nAnswer: 58 + 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + -9 + 1 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 - 10*j - 2. Let n(k) = 6*k**3 + 15*k**2 - 69*k - 15. Give 15*g(c) - 2*n(c).\nAnswer: 3*c**3 - 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjzj when four letters picked without replacement from zmjzmjjhjm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = 0, 4*r + 4 + 20 = 4*y. Suppose -z + 4*i - 14 = 0, y*i = -2*z + 4*i. Suppose l = -z*l. Solve l*t = -5*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/2 - v**3\/3 - 2*v. Find the second derivative of t(x) wrt x.\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*5)**2 + -3.\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 - 943*l**2 - 353*l - 12316. Calculate w(-314).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4148820 and 82290?\nAnswer: 875401020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -15. Suppose -5*q + j*q = 0. Suppose 8*r = 16 - q. Solve r*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*k - 170, -2*z + 2*k + 56 + 26 = 0. Suppose -2*v = -5*v - z. What are the prime factors of (3 + -6)\/3*v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206 + 1195 + (2538\/(-24) - -4) + (-6)\/(-8)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74242 or -16?\nAnswer: -74242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7081\nAnswer: 5\/7081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 99 = 5*n + 3*t, 4*n + 5*t = 74. Calculate the least common multiple of n and (-12)\/8 - (-102)\/4.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 6*j - 11. Let d be g(9). Let a be ((-3)\/20)\/(d\/40). Are a and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24899644?\nAnswer: 2, 7, 11, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12283, -4\/9, 1, 4\/3 in descending order.\nAnswer: 4\/3, 1, -4\/9, -12283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.103.\nAnswer: 0.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/14 - (-3)\/(-21). Let c = -11 + 11.06. What is the third biggest value in -0.2, c, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 2 + 2.\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 861 and 0.08?\nAnswer: 68.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12787, 25575, 38363, 51151, 63939?\n\"Answer: 12788*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 9*u - 8*u - 16 to c*u + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -16)\/(2 + 7 + 0\/11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1581)\/(-85)*(1\/(-24))\/(1\/(-10)).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 9*w + 18. Let d be l(-4). Let b be 0\/(1 - (-2 - d)). What is the nearest to b in 0, 0.3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10739\/13926 - 1\/633. Find the common denominator of f and -47\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 357*b + 24*b**2 - 357*b + (-29 + 9 - 11)*(4*b**2 - 5*b**2 + 0*b**2).\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*i**3 - 6*i**2 - 104*i - 525442?\nAnswer: -63*i**2 - 12*i - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733223 divided by -16?\nAnswer: -2733223\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -420.4 (b) -35 (c) -1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let h = q - -3. Suppose 0 = -4*s + h. Let c(a) = -a**3 + 2*a**2 - a + 1. Calculate c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -4 (c) 5\/19 (d) -2\/77 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.39 - -0.4. Let v = 0 - 0.04. Let h = v - p. What is h rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*j + v, 52 = 3*j - v - 72. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 16971158.738822.\nAnswer: 16971159.238822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 3*d + 17 = -7*q, -2*q + d + 7 = 0. Let v = 0.1 - -22.9. Which is the second smallest value? (a) -0.4 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlo. Give prob of picking 1 l and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42 - 368\/(-23)) + 1703839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (1 - 5)) + (24 - (0 + 7))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3164*u**2 - 1777*u - 1777. Give a(-1).\nAnswer: 3164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 4. Suppose 0 = -4*j + 2*j + 106. Calculate the remainder when j is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936098.4kg in tonnes?\nAnswer: 936.0984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32692 less than -32693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-44)*-8)\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/30)\/(2 - (-34)\/(-20)). Suppose 3 = i - g. Suppose -16 = -4*a + 4*z, -2*a = 4*z - z - i. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 20. What are the prime factors of k(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47 - 0.37. What is the closest to a in 5, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 28. Let d = 142 + -140. Let n be (-50)\/6 - d\/3. Calculate the lowest common multiple of x(n) and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7791\/10 + -781. Let f be (-23)\/(((-40)\/(-52))\/(-10)). Calculate the common denominator of u and (f\/828)\/(2\/(-6)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*p + 1, 3*c = 5*p + 8 - 0. Suppose 0 = 4*m - 13 + c. Suppose -l + m*l = 6. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565085533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -693c (base 14) in base 15?\nAnswer: -563c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = 6. Let u be h - ((-4)\/(-2))\/2. Let b = -544 + 568. Solve 2*d = 2*r + 14, u*d = -3*r + 7*r + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -136, -209, -282?\n\"Answer: -73*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-48)\/30)\/4)\/((-1)\/10). Solve -y*u + 16 = r, -8*r = 3*u - 6*r - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**3 - n**3)*(-3*n - n - 10*n) - 2*n**5 - n**2 + n**2 + 2*n**5 + 0*n**5 + n**5 + (4*n**2 + n**2 - 4*n**2)*(-n**3 - 2*n + 2*n).\nAnswer: 28*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 826*j**3 + 5*j + 20. Let b(s) = -91687*s**3 - 554*s - 2216. What is -5*b(l) - 554*t(l)?\nAnswer: 831*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 3*l - 6. Let n(s) = 14*s**2 + 18*s - 31. Let w(u) = -11*b(u) + 2*n(u). Let z(a) = -14*a**2 + 9*a + 11. Give -8*w(c) + 3*z(c).\nAnswer: -2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = 63. Let v = 47 - z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + 8 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -354.\nAnswer: -354, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443422 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 51. Give y(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1451241\/2356 - -11727\/19. Let c = 1\/62 + m. Let y = -2 - -2. What is the third biggest value in 6, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 34*o = 228*o + 6875 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-301)\/645*61\/((-40565)\/(-114)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51721 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(((sqrt(32) - sqrt(2))*-4 - sqrt(2)) + sqrt(2)) + 2)**2 + 0.\nAnswer: -sqrt(7) + 71\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -316943, 0, 82?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -113\nAnswer: 5\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2794718143 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 938 (base 14) to base 5\nAnswer: 24224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1218a41 (base 11) to base 16\nAnswer: -205a0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*v + 47826*v**4 - 33499*v**4 + 21*v + 1385*v**2 - 41*v wrt v?\nAnswer: 343848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 11*m + 16. Let a be i(12). Suppose -28 = a*d - 72. Let c(b) = -b**3 - 5*b**2 - 5*b + 2. What is the remainder when d is divided by c(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 73*(-1)\/70 - -2. Let s = h + -6\/7. Let k = 48 - 145\/3. Which is the second biggest value? (a) s (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6737210 - -12?\nAnswer: -6737176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-22))\/(188272\/13448).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1788\/1360 - (25\/15 - 12\/18) and -169\/30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/30 + 354\/(-10). Calculate the common denominator of -19\/20 and 250\/m + 1*3.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93270023 to the power of 1\/2, to the nearest integer?\nAnswer: 9658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a - -a?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8693.8827 + -7438.89067. Let v = q + -1255. What is v rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*f**2 - 108*f**2 + 168*f**2.\nAnswer: -95*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-5)*(-70)\/21. Solve -3 = -3*i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17593 to 3 decimal places.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6 + 0 - 159*r + 83*r + 7 + 77*r. Let g(p) = -16*p - 7. Let s(j) = 15*j + 8. Let b(m) = -2*g(m) - 3*s(m). Determine 2*b(t) + 22*u(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -567, -569, -571, -573, -575?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208211 or 208166?\nAnswer: 208166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:19 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208987237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2523 - 2490. What is the remainder when v is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -4. Let r(c) = -5*c + 7. Let x(u) = 6*u - 7. Let w(j) = 7*r(j) + 6*x(j). What are the prime factors of w(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197 (base 16) in base 8?\nAnswer: 10627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673267497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:49 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**4\/4 - 33*j**3\/4 - 1053*j**2\/4 + 33*j\/4 + 525\/2 = 0.\nAnswer: -14, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 17) + 14 + (-1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16084*n + 980 + 47 - 16082*n to u*n + a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 4 - (20 + -5 + -32 + 16)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (3 - 3))*-4. Suppose i + 2*j - d = 0, -2*i - 3*j = i. What is the lowest common multiple of 1*i*55\/(-20) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 17 = 2*g + 3*i, 5*g + 5*i - 25 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d - 3*d - 56*d + 49*d + 36*d.\nAnswer: 51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-2275)\/15)*(-394)\/(-591)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 262 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2 - 5*a - 53. What are the prime factors of h(-9)?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-9))\/v**(-12))\/(v\/v**3*v)**(-5\/9) assuming v is positive.\nAnswer: v**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.923215 grams to nanograms.\nAnswer: 2923215000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:19 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -96514 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyty when four letters picked without replacement from {t: 1, y: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 54374 * 0.9\nAnswer: 48936.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37224 = 1557*j - 15714 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/9 (b) -3 (c) 2.5 (d) -1 (e) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264 - 46?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54080 - -6?\nAnswer: -54079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37829 and 905?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -586050, 5, -5, 0, -1 in decreasing order.\nAnswer: 5, 2, 0, -1, -5, -586050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - -0.06. Which is smaller: h or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + 285. Suppose -891 = -2*o - h, -o + l = h + 3*h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-15)\/9)*-9. Calculate the greatest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 2, g: 2, a: 4}. What is prob of picking 2 b and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 - 6343 = -p + 3*c, -23810 = -5*p + 5*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -6.15572?\nAnswer: 7.84428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -535, -1720, -4003, -7750, -13327, -21100, -31435?\nAnswer: -44698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 71*g**2 + 8*g + 24. Let f(d) = 142*d**2 + 14*d + 46. Let j(r) = -2*f(r) + 5*i(r). Does 36 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252420\/61 + 4138. Sort t, 1\/5, -6\/5, -0.4.\nAnswer: -6\/5, -0.4, t, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5184454.4 and 0.2?\nAnswer: -1036890.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 581, -26, 87 in ascending order.\nAnswer: -26, -8, 87, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -t + 98, -4*m - 4*t = -24 - 80. What is the remainder when 66 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyc when four letters picked without replacement from {c: 7, y: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 35*h**2 + 153*h + 91. Determine k(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/120 + 19*j**5\/60 + 11*j**4\/8 - 11*j**3\/3 - 14*j**2. Is d(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = b. Suppose -q - b*q + 272 = 4*r, 0 = 4*q + 2*r - 276. What is the remainder when q is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 48 - 158 = 0. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-13 - -24) + (1 + 3 - 9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49120 and 509620?\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -52*s**3 - s**2 - s. Let f be i(-3). Suppose 5*z - h = f, -3*z + 4*h + 836 = 2*h. Suppose -2*g - 42 - 29 = -j, 4*g = 4*j - z. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -7, -26, -2, -531.\nAnswer: -531, -26, -7, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191804508 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*v**2 + b*v - 140*b + 898*v**2 - 2*v + 5593 wrt v.\nAnswer: -4*b*v + b + 1796*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - i = 18. Suppose -6*x + i*x = -2409. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 3)\/((-4)\/46). Let q = j + 73. Suppose 0 = q*x - 3*x - 156. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -56 + (-1 - -1 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -88?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - o = 12, 4*w = -2*o - 2*o + 32. Let t(f) = -5*f**2 + f**2 - 4*f + 5*f**2 - 3 - 1. Determine t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f - 3. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169161.7um to kilometers.\nAnswer: 0.0001691617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*(-4)\/10*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let n(m) = -2*m. Let h(k) = -3*n(k) + 4*w(k). Let f = 10 - 7. Let g(l) = -l + l - f*l. Determine g(h(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 2) + (1 - 32) - -37.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049518 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*a + 38 - 179, 4*a + 5*g = 165. Let s(t) = 52*t**2 - 203*t**2 + a*t**2 + 51*t**2 + 56*t**2. Let j(r) = -1 + 39*r + 1. Determine j(s(c)).\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 25.8 (c) 1\/3 (d) 5\/2 (e) 1 (f) -0.013\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -133, -136, -137, -136, -133?\n\"Answer: x**2 - 6*x - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41503, 332479, 1122303, 2660407, 5196223, 8979183, 14258719?\n\"Answer: 41572*v**3 - 8*v**2 - 4*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(3 - 1). Let h be (-1 - n)*(-3)\/6. Suppose h*c + 9 = 3*c. Solve c*u - 8 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qbqn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, k: 3, r: 8}. Give prob of sequence rck.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1431)\/1272)\/(9\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*m + 22 = 0, 2*m + 11 = 2*y + 3. Solve -y*v + 3*v = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose 0 = -2*o - 2, o + 3*o + 12 = 4*s. Let l = s + k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221040 (base 5) to base 13\nAnswer: -3631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4566 - 3*w**2 - 4566. Let x(d) = -4*d - 9. Determine k(x(u)).\nAnswer: -48*u**2 - 216*u - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-4))\/15*(2 + -2). Solve -i - 2 = -b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 33*v + 14. Let l(o) = -66*o - 27. Let r(z) = -5*i(z) - 3*l(z). Is r(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.114739 times 0.09\nAnswer: -0.01032651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -v - 4*b, -2*v + 4*b - 43 = 3*v. Let q = v - -18. Is q greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18986\/9 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -80*b + 50. Suppose 36 + 0 = -6*w. Let j be v(w). Is (-3)\/(j\/134 + -4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18335.8786 plus -4984?\nAnswer: -23319.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126123443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from rrgrrmjdg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*n - 2*n**3 - 3*n**3 - 1 + 7*n**3 - 222*n.\nAnswer: 2*n**3 - 377*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Find the common denominator of (-2)\/c - (-1205)\/330 and 27\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 6785?\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*v*x**3 - a*v + 945*a*x - a - 2*v*x**2 + 4659*v with respect to x.\nAnswer: -3*a*v*x**2 + 945*a - 4*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h - 4*n, -6*h - 4*n + 12 = -2*h. Suppose 6*c - 4*c = 0, -5*z - 2*c = -25. What is the smallest common multiple of h and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rotd when four letters picked without replacement from uodortr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*h - 181*h - 98 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -118?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.11 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f**2 - 3*f**2 - 36*f**2 + 6*f**2.\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 23*y - 102. Calculate z(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2760 and 7946160?\nAnswer: 182761680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544435, -544433, -544431, -544429?\nAnswer: -544427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1422679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0.1772, -0.18, -4\/7 in increasing order.\nAnswer: -1, -4\/7, -0.18, 0.1772, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162129700 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2540*j. Let z(s) = 168*s. What is z(h(w))?\nAnswer: 426720*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.4284514 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 20 = -8*l. Let v(w) = -2*w - 1. Let h(p) = 2*p + 2. Let d(g) = -4*h(g) - 3*v(g). Let x be d(l). Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Solve -3*x = -n - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087604 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4454503 (base 6) to base 9\nAnswer: -372883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -434200 - -434200.530017. Let d = -0.453 + -0.077. Let i = v + d. What is i rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*u - u + 4*l, -5*u = l - 32. Solve -15*f + u*f - 24 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567784579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/177533 + -9942202\/31423341. What is the common denominator of a and -49\/33?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3152 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let n(k) be the second derivative of k**4\/6 - 10*k - 3. What is v(n(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 4*w**3 + 9*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373446.\nAnswer: 2, 3, 17, 33073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**3 + 3*h**3 + 0*h**3 + (6 - 6 - 6*h)*(-13 + 13 + 6*h**2))*(-3*h + h + h)*(2*h - 4*h + 3*h).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 8. Is p bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 greater than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 526491 smaller than 526499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**1)\/r)*r*r)**(-21\/5)\/(r\/(r*r**(-2)*r))**1 assuming r is positive.\nAnswer: r**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = h + 40. Suppose -3*c = 5*u - 109, 6*c - 5*c + u = 35. Let p = h + c. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157617*c*m**3*u - 36*c*m + 5*m**2 - 310*m - 2*u wrt m.\nAnswer: 945702*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -w - 3, -w + 0*t - t = -3. Suppose x + 59 = 3*b, -b + 2*b = -w*x - 7. Is (-2)\/3 - (-21414)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3492\/(-126) - ((-27)\/(-21) + -1). What is the least common multiple of (-4)\/s + 1917\/7 and 6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 30\/24 - 21\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -0.07.\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -1.7. Let t = 2 - i. Let k = -39595\/2 + 19798. What is the nearest to -0.1 in k, -41, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3199988 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 10, 0, 4, -1, 958 in ascending order.\nAnswer: -1, 0, 1, 3, 4, 10, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3364.541 - 3361.340922. Let m = -33 + 36.2. Let d = v - m. Round d to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**5 - 81*b**5 - b**5 - 99*b - 4*b**4 + 4*b**4 wrt b.\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27892, 25700, 23508, 21316, 19124, 16932?\nAnswer: 14740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -2605147 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 149 - -1355?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 1 (c) -610 (d) 2.1 (e) -1 (f) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - n**2 - n + 2*n + 2*n**3 + 5*n in the form z*n**3 + d + c*n + u*n**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1095 - 1950 = 0. Let r = g + -147. Calculate the lowest common multiple of r and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + sqrt(847)*1)**2 - sqrt(847)) + (sqrt(28) + sqrt(112)\/sqrt(4))\/sqrt(4).\nAnswer: -9*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7535 - 7304. What is the remainder when 12704 is divided by j?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 421. Is -1 + (1 + c)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479 = -26*u + 1115 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/45 + 5\/(-225)*-129 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2. Let w(v) = 122426*v. Determine w(o(n)).\nAnswer: 734556*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.14, 0.1, -23.7, -3, 4\/7, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 2931742.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let m be -1*(0 - (-1)\/s). Which is the nearest to 1? (a) -3 (b) 2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0 + 0 + (-1 + 2 - 3)*(-7*q - 14*q + 59*q) + (2 - 2*q - 2)*(0 + 0 + 1).\nAnswer: -79*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316431, 316428, 316425, 316422?\nAnswer: 316419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3158225748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:39 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 5318*f**2 + 5 + 6.\nAnswer: -5318*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p**4\/5 - 627*p**3\/5 - 48153*p**2\/5 - 88809*p + 198900 = 0 for p.\nAnswer: -25, -15, 13\/7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*z - 320 + 2663 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d = -426*d - 1284. Let l(n) = -n**3 + n**2 + n + 6. Give l(d).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*b - 7, 1296*b + 6 = -3*f + 1297*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:38 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z**3 + 0 + 1\/45*z**5 + 0*z + 58*z**2 + 0*z**4 + 1\/360*z**6. Factor m(k).\nAnswer: k**2*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9747?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -632\/117 - -50\/9. Let j be -1 + (2\/(-1) - -1). Let m be j\/1 + 6\/2. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-1142)\/(-4))*2596\/(-33). Suppose -c + 0*g + g = -4504, -5*c + j = g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b + 10. Let v(o) = -o**2 + o. Let f(p) = -t(p) + v(p). What is the least common multiple of (-1 + 9)\/(12\/30) and f(-7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 10*h - 8. Let y be j(2). Solve 35 - 27 = -y*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 83\/2 - (-5)\/(-10). Let g(h) = -2*h**2 + 8*h - 14. Let k be g(6). Let x = c + k. Solve -x*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:29 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.3 - -16. Let o = 0.01 + -0.41. Which is the smallest value? (a) l (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 2*3\/(-3) + 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:15 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 324089*-3\nAnswer: -972267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 495 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784422851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3729 - 3651) + -1 + -53?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -18) + -35 - (-2 + -3 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(288)*-5 + (-4 + 3*sqrt(2))*3)**2.\nAnswer: 5544*sqrt(2) + 106866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8439\/2716*(-1)\/(-7) and 95\/14.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8014?\nAnswer: 2, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 128\/720 + 2\/9. Suppose 2*l - 15 = -3*l. Put i, 2\/19, l, -0.5 in decreasing order.\nAnswer: l, i, 2\/19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128047724 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -383488 or -383476?\nAnswer: -383476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94338 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p + 75 - p - 79 wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 25 = 16*b. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332052 and 156780?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1004\/2510 - 12\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 2, l: 1, f: 2}. What is prob of sequence lfkx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2683610 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 61 - 12*w - 121.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 4, -3423 in ascending order.\nAnswer: -3423, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 114*j - 110*j - 32, -5*p - 14 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17854 is divided by 17828.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.251 and 0.04834241?\nAnswer: -0.01213394491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7419*t = 1534*t - 95195 + 789625 for t.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 0*z**3 - 60 + 8*z**3 + z**3 + 177 - 74.\nAnswer: 8*z**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307086 by -51181.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*n + 8 = 0, 4*k - 2*n - 6 = -n. Let y = -11 + 7. Let u be (y - (-1 - k))*-3. Put -2, 0, u in decreasing order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:33 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*g - 0*g + 48, -4*g - b = -52. Suppose 62 - 350 = -g*p. Solve -2*f = -3*f - 5*a + p, 32 = 4*f + 4*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41323 (base 5) to base 2.\nAnswer: -101010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 83 = -f. Calculate the remainder when f is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 827, -5, -6 in ascending order.\nAnswer: -58, -6, -5, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27541323, 27541334, 27541345, 27541356, 27541367, 27541378?\nAnswer: 27541389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 23*p + 16. List the prime factors of 12\/4 - (-53 - p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19973 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2003659 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -446*p - 890. Let i be l(-2). Suppose 0 = -0*k - 3*k. Let d(w) = -w**2 + 10*w - 10. Let a be d(8). Solve -a + k = -i*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u + 72. Let y be p(6). Suppose -4*t = -5*t - 5*m + y, 0 = -2*m. Are t and 144 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 4, b: 3}. What is prob of sequence bu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let q be 2\/2 + 2 - -2. Suppose 0 = -0*c - 3*c - 3. Let d(h) be the third derivative of -h**4\/4 - h**3 + 4*h**2. What is c*d(f) + q*l(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2154164 + -0.015\nAnswer: 2154163.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.5755 to the nearest integer.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 5*x + x**4 + 3*x - 5*x**2 in the form z*x**2 + l*x**3 + w*x + s + k*x**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -12522042?\nAnswer: -12522050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 52, 16.93 in decreasing order.\nAnswer: 52, 16.93, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 27*s = 560. Let m be 40\/s*((-2)\/4)\/1. Sort 6, m, 1, 1\/9 in descending order.\nAnswer: 6, 1, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494668005 divided by -15?\nAnswer: -32977867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -65660 (base 15) in base 9?\nAnswer: -540710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6545)\/7*(-1 + (-14)\/(-10)). Let l = -368 - r. Solve 20 - 2 = l*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 535*o**2 + 119*o wrt o?\nAnswer: 12*o**2 + 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1870*j = -1841*j - 696. Solve 16*v + 24 = j*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -3 (c) -4 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1562*c**4\/3 + 11*c**3\/6 - 6*c**2 - 4*c - 2. Let t be v(4). What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5 - 25. Put -9, 4, m in ascending order.\nAnswer: -9, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2 + 130*m - 840 = 0.\nAnswer: 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*h)*(-2 + 3 + 0)*(-4 + h + 4)*(-2*h + h - h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0*u + 0*u + (-6 + 5 + 3 + 2*u)*(173 + 439 - 88).\nAnswer: 1049*u + 1048","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 154. Let p = -143 + 129. Let r be k(p). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 30*s - 12. Solve -s*o - o = 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*h - h. Let g(c) = -c**3 + c - 6*c - h*c + 15*c**2 - 2. What is the units digit of g(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 24272*r - 461534. Determine k(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 142*a**2 - a + 143*a**2 + 3*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 12*s + 2. Let h = -12 + 15. Let b(k) = k**2 - 6*k - 1. Let x be b(h). What are the prime factors of z(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**3 - 3*z**2 - 2*z - 2. Let w be n(-2). Suppose -4*s + s = v - w, -s = -5. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1497*v + 12. Let p(j) = j**2 + 2*j + 4. Let i(o) = f(o) - 3*p(o). What is y in i(y) = 0?\nAnswer: -501, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/19 in -0.1, -53, -1\/4, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0, -3, -29, -2, -5 in decreasing order.\nAnswer: 0, -2, -3, -5, -21, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*d + 249 + 587, -5*p = -5*d + 2100. Suppose -24 = -2*u + d. Does 44 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18949635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-50)*(-2)\/(2 - 3). Which is the nearest to 2? (a) 4 (b) q (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -13 - 28) + (-8 - -4) + 6 + 95.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6029, -6035, -6047, -6065, -6089, -6119, -6155?\n\"Answer: -3*v**2 + 3*v - 6029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8db48 (base 16) in base 6?\nAnswer: 20235052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -126*s + 131*s - 4, 4*w = 5*s - 8. Let c(r) be the first derivative of 0*r**3 + 15\/4*r**4 - 5 + 23*r + s*r**2. Differentiate c(y) wrt y.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-7) - 288\/168)*14\/(-3). Suppose 1\/3*h**3 + 5\/3*h**2 - r - 8\/3*h = 0. What is h?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -679 times -9\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808*s - 1553 = -3*c - 807*s, c - 4*s = 536. Calculate the greatest common divisor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1268760 and 88290?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + -2 + (-4479)\/(-15). Let u = z + -268. Calculate the greatest common factor of u and 348.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -2*z, -5*k + 8*z - 3*z = 0. Solve t + 1 = -3*w, -5*t - k*w - 3 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -160, -294, -404, -484, -528, -530?\n\"Answer: j**3 + 6*j**2 - 159*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 55.6. Sort 3, 8, q in descending order.\nAnswer: 8, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 5. Let z be w(-2). Suppose z*f = 2*f + 17. Calculate the remainder when 48 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q**(7\/6)\/q))**(6\/35) assuming q is positive.\nAnswer: q**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/15)\/((-2)\/12). What is the third derivative of 8*m**b - 2*m**2 - 14*m**4 + 0*m**2 wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-21) - (-44 - -38).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 59*j**2 + 3757*j + 221661. What is r(-59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*g - 32*g = -406147 + 433237 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4 + n - 2 + 6. Let j be k(-4). Find the third derivative of i**5 + j*i**5 - 6*i**5 - i**2 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215329535 take away -0.3?\nAnswer: 0.515329535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36162152 (base 7) to base 4\nAnswer: -30033110330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + s - 4*s**2. Let t(j) = -2*j**2 + j**2 + 5*j**2. Give h(t(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/3 + (-1)\/3*1. Solve -3*f + i = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 358, 717, 1076, 1435, 1794?\n\"Answer: 359*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 2*n**4 + n**4 + (n**2 + n**2 - 4*n**2)*(7*n**2 - 3*n**2 - 2*n**2))*(-2 - 3 + 6) + (-3*n**3 + 0*n**3 + 2*n**3)*(-3*n + 5*n + 0*n).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 542 - -1?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (22 - 9) + (12 - -1) + -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - (sqrt(216) + 2*sqrt(216))*-1 - sqrt(216)) + sqrt(216))\/(sqrt(32)*-5 + sqrt(8) - (2*sqrt(32) + sqrt(32))\/sqrt(4)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78197011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210471712 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52021, -104036, -156051, -208066?\nAnswer: -260081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -36. What is the second biggest value in 1\/5, 0.01, j?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 50*j - 55*j + 272*j - 61*j - 53*j - 57*j.\nAnswer: -4*j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -125?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 113529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Let o = 3 - 2. Which is the closest to o? (a) 0.3 (b) -2\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p - 5. Let y(m) = 3 - 1 + 5 - 6*m - 3*m. Let b(q) = 4*q - 4 - 1 + 2. Determine p*y(o) - 5*b(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87835*j**3 + 169422 wrt j?\nAnswer: 263505*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-95)\/75)*(-43)\/((-1677)\/(-130))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04831198 to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 6. Suppose -f*w + 0 = -9. Determine s, given that 0 + 4\/3*s**2 - 2\/3*s**w - 2\/3*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*b - 182*b - 153*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 542, -1, 7 in ascending order.\nAnswer: -1, 7, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 74195606476.\nAnswer: 74195606475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 - 160.4.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -34948*o. Let f(j) = j - 10. Give i(f(u)).\nAnswer: -34948*u + 349480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547 is divided by 1264.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:10 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.2 (c) -5 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-2) - (-2 + 3). Let c be h\/(-26)*(0 + -4). What is the third derivative of -2*n**2 + 3*n**2 - 2*n**c - 5*n**3 + 2*n**2 wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2)*(3 - (-183)\/(-63)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3524, 7801, 12078, 16355, 20632?\n\"Answer: 4277*q - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/12 + 2*b. Let q(p) be the second derivative of -p**3\/3 - 7*p. Give c(q(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (1034 - 1032) + 0 + -27\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(x - 3*x + 4*x) + 3 - 4*x - 3 - 1 + 1 - 4*x)*(2 + 1 - 2)*(-5*x - 2*x + 5*x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2.2 (b) -1\/6 (c) -2 (d) 13 (e) -4 (f) 3\/7 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 12 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.642 + 0.242. Which is the nearest to -0.1? (a) o (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -891780071 and -385.\nAnswer: -891780456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-112))\/((-1)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11824134 by -6.\nAnswer: -1970689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + y + 1 = -0*z, -2*y - 2 = -4*z. Suppose 5*c = -z*c + 4*b + 27, -3*b - 29 = -5*c. Calculate the remainder when 33 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*o**5 + 46 - 46 + (2*o + 3*o - 4*o)*(0*o**4 + 2*o**4 - 4*o**4) + (-1 + 4 - 4)*(-o**2 + 2*o**2 - 2*o**2)*(0 + o**3 + 0).\nAnswer: 74*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, 1 i, and 1 r when four letters picked without replacement from {v: 8, o: 1, z: 1, s: 7, r: 1, i: 2}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/11871086 and -137\/498585612?\nAnswer: 498585612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3865802015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 8*n + 6. Let x(l) be the second derivative of l**3\/6 + 21*l**2 - 2*l. What is the least common multiple of x(0) and d(-5)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25\/7, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186881065*r**3 - 73782*r - 190.\nAnswer: 1121286390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -651, -985, -1319?\n\"Answer: -334*a - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -15*d**5\/7 + 353892*d**4 + 8422746*d**3\/7 + 9413700*d**2\/7 + 495459*d = 0.\nAnswer: -7\/5, -1, 0, 165153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71 and 253?\nAnswer: 17963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 489 + a + 7*a**2 - 236 + a**3 - 242. What is d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1 = -4*k - 4, -55 = 5*k - 4*j. Let r = k - -43. Suppose 38 = 2*n - 4*l, -2*n + 5*l = -1 - r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 7 - 7 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4091, 4651, 5587, 6899?\nAnswer: 8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let t(m) = 9*m**2 + 68*m - 274. Let x be t(3). Solve -n*b + 5 = -2*r - 1, 5*r + 3*b = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - 2*y)*(2*y + 0*y - 3*y + 1).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*c**4 + 2*c + 8.\nAnswer: 1776*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315908339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 7300 in decreasing order.\nAnswer: 7300, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 1. Let h(l) = -l**2 + 3*l - 1. Let c be h(2). What is r(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4355 = -5*z + 5*v, -12*z = -9*z + 4*v - 2634. Calculate the remainder when z is divided by 245.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2\/643, -0.1, -3\/5?\nAnswer: 2\/643","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.4549466 to 3 dps.\nAnswer: 12.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcvcvvccccvcv. What is prob of sequence vv?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/((-13335)\/(-127)))\/(((-30)\/25)\/((-47)\/(-5)))?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-184)\/69)\/(((-4)\/(-111))\/((-30)\/3)). Are r and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34713 + 1.\nAnswer: -34712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651?\nAnswer: 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300) + 3 - -2*2*sqrt(1300) - (-4 + -2*sqrt(1300)*-2))**2.\nAnswer: 180*sqrt(13) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 7 - 8 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25940, 52723, 81174, 112127, 146416, 184875?\n\"Answer: 139*i**3 + 25810*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6129604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -526 - -530. Let v(l) = 5*l**2 + 0*l**2 - 1 - 3*l + 3*l**3 - 4*l**3. Give v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Let k = 10 - i. Suppose -k*r + 3254 = -146. Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804731, 804751, 804773, 804797, 804823, 804851?\nAnswer: 804881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxy when three letters picked without replacement from rrxxy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (17 + -23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 11, 10, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-7\/2))**30)**(-11\/4))**(2\/31))**(-1\/13) assuming p is positive.\nAnswer: p**(-1155\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.6. Let q be 1*1\/((-2)\/(-10)). Let u = -12 + 10. Sort u, q, y in ascending order.\nAnswer: u, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 1)*(2*l - 4*l + 6*l)*(-4*l + 0 + 0) in the form f*l + a + m*l**2 and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-392)\/(-70))\/(-1 - (-36)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30845252 is divided by 467352.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, 0.01, 1\/7, 9, 1910\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s. Let w(p) = p**2 - 13*p + 3. Let a be w(12). What is the tens digit of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178060 is divided by 392567.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*h, -5*h - 5 = -12*b - 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -76, -131, -198?\n\"Answer: -6*x**2 - 25*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1)\/((-18)\/(-36))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 14*q - 39 - 4 = -17*q, 3*q + 23 = -4*g - 0*q + 4*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -18 - -41) + (0 - 7) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2907, 5807, 8693, 11559, 14399?\nAnswer: 17207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13422 divided by -3.\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41013.6*0.3.\nAnswer: 12304.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x**2 + 15*x**5 + 1854*x**3 - 1854*x**3 wrt x?\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*d - 195852 + 16916. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 11) to base 16\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -608*x - 10232. Let q be p(-17). Solve -q = 27*g + 85 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwx when three letters picked without replacement from oqwwwwqqxxow?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p + 8. Let k(j) be the second derivative of -5\/6*j**3 + 0 + p*j - 1\/2*j**2. Give k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24399072 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -93. Let o = q - -27. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 16*y - 14*y - 4274, 5*y - 2864 = -2*s. Suppose s = -0*m + 2*m. Calculate the remainder when m is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 3.6 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2, -5*x - 5*g = 1 - 6. What is the third derivative of -2*q**6 + q**2 - q**3 - 3*q**2 + q**x wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49495\/44 - 1125. Let r = -107\/220 + g. Let k be (6\/70)\/(8\/(-20)). Which is the nearest to k? (a) 3 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*28\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u**3 - 90*u**2 - 281*u - 240. Let c(j) = -8*j**3 - 46*j**2 - 137*j - 120. Let q(i) = 5*c(i) - 3*g(i). Suppose q(n) = 0. What is n?\nAnswer: -15, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8730)\/8*(1 - -3). Let d be ((-1)\/5)\/((-12)\/i). Let p = -72 - d. Is p at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12*n + 8 + 8 - n**2 + 0. Let q be k(13). Find the third derivative of 4*s**3 - s**2 - q*s**2 + s**3 wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36757273.\nAnswer: 7, 5251039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-17 - (15 - 9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 + 57*w\/2 + 869 = 0.\nAnswer: -22, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3.91 (b) -2 (c) -288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1425\/7 - -203. Sort c, -1\/6, -2\/7, -2\/195 in decreasing order.\nAnswer: -2\/195, -1\/6, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 4 - 1\/4*b**4 - 5\/2*b**2 + 11*b - 10\/3*b**3. Is a(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 + 107. What is the smallest value in 3, n, -0.5, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 - 23*r**4\/12 + 19*r**3\/6 - 39*r**2 - 11*r - 5. What is the remainder when w(-24) is divided by ((-10)\/4)\/((-1)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (3\/(-5))\/((-1)\/5). Solve -2*c - c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 6*i**2 - 17*i + 184. Let o(x) = 10*x - 10. Let b be o(9). Suppose -5*c + 9*c = b. Calculate the lowest common multiple of t(7) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1290 = -1273*y - 1275*y + 2518*y for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5263*l + 28*l**3 + 5263*l - 6*l**3.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.1849 + 0.0151. Let w = d - 54. Let n = -9.6 - -10. What is the closest to -3 in 2, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*j - 106*j = -75*j + 448. Which is the biggest value? (a) j (b) -0.1 (c) -1\/26 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) + -3*sqrt(95))*-1 + sqrt(95) - 1*sqrt(95)*2)\/((sqrt(45) - (sqrt(45) - sqrt(2205)*1))\/((sqrt(45)*-2 + sqrt(45))\/sqrt(5))).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.570078 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003 (base 4) to base 7.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 12426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -34*v + 2. Let u(q) = 2006*q - 119. Calculate -2*u(h) - 119*x(h).\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -432? (a) 5\/6 (b) -1\/2 (c) 1\/4 (d) -19 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**3 + 7 - 7*k**3 - 3*k**2 - 6. Let m(g) be the second derivative of g**4\/12 + g**3\/6 + g**2 + 2*g. Let q be m(0). Calculate l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/52)\/((-17006)\/(-10049)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2785*c**2 - 772*c**2 + 2015*c**2)*(4 + 3 - 6) in the form d + f*c**2 + w*c and give f.\nAnswer: 4028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*x + 2*c**4 + 2830*c**3*x - 3*c**3 + 2*c**2*x + 158373*c**2 wrt c.\nAnswer: 48*c*x + 48*c + 16980*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khc when three letters picked without replacement from kkchchkkk.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.95 and 28.\nAnswer: 82.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -28?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93026 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 + (-396)\/(-630)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456696 and 6?\nAnswer: 456696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*l + 17, 5*w - 2125 + 2159 = -l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is da (base 14) in base 2?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 38. Put -7, 0, d in ascending order.\nAnswer: -7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 1119. Let q(d) = 11*d + 3353. Calculate -3*q(g) - 8*y(g).\nAnswer: -g - 1107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 less than 0.16?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*c**5 + 2445548*c**4 - 7625130076*c**3\/3 - 6905616644*c**2\/3 + 709546240*c\/3 - 17305600\/3 = 0.\nAnswer: -1, 1\/21, 2080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4*f + 1. Let s be x(5). Suppose l = s*l - 180. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - 29 - (750 + -740)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-7) + 6\/21. Let k = 3 + z. Suppose 61200000 = -0*t + k*t. Round t to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27409.\nAnswer: 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16979969 - 3385890\nAnswer: -20365859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d**2 - 294612*d**3 + 294609*d**3 + d**2.\nAnswer: -3*d**3 + 61*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -1\/6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/12)\/((-215)\/516)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157417 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 62, -1 in increasing order.\nAnswer: -1, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 144. Let b(s) = 35*s**2 - 53*s + 4. What is the common denominator of b(2) and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7931 - -0.6931. Let t = -1 - -1.2. Which is the nearest to -4\/3? (a) s (b) 10 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 1, n: 1, u: 2, b: 1, q: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.326 + -0.826. Which is the third smallest value? (a) -32 (b) -0.3 (c) 3\/4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/8 (b) -0.9 (c) 0.463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/3? (a) 12 (b) -5 (c) -10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 53. Let z be a(29). Suppose -z*l + 29 = -121. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v + 2. Let y(b) = 61*b - 2003. What is 4*j(z) + y(z)?\nAnswer: z - 1995","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 65 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 5, -168 in ascending order.\nAnswer: -168, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let x(p) = -p**2 + 11*p - 13. Let m be x(10). Suppose -5*s = -5*r + 20, 5*s + 6 - 11 = 0. Put r, m, g in decreasing order.\nAnswer: r, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 h, and 1 l when four letters picked without replacement from mmdlmtmddmthdddhdfm.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 + 132*s**2 + 13*s - 24. Calculate v(33).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q)**28*(q*(q\/q**(-6))\/q*q*q)\/q**(2\/3)*((q**0*q*q)**(-19\/3))**34 assuming q is positive.\nAnswer: q**(-1351\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 327*q**2 - 27*q - 75. Is x(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 3156.\nAnswer: 37872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*x = -4 - 19, 4*v - x = 21. Let d(o) = -4*o**2 + o. Let h be d(-1). Let n = 1385 + -1384. Put v, h, n in ascending order.\nAnswer: h, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1152 - 1123 - (34 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -3. Suppose -k*c - 32 = -17*c. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -35)*17\/(-119)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187098 at least as big as 187098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92 in 4, -0.5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/11)\/r**1)\/((r*r**(-3))\/r)**(2\/5))**(-5))**(9\/4) assuming r is positive.\nAnswer: r**(-189\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -111, 3, 5 in descending order.\nAnswer: 13, 5, 3, -1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 61*q**5\/12 - q**4\/6 + 31*q**3\/6 + 6*q**2 + 15*q. Is s(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-13*f - 6*f + f) + (5 + 0 - 3)*(-5*f + 2*f + 4*f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12641 + -12639. Let y(p) = 13*p - 11. Determine y(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (-3 + sqrt(1008) + 1 - sqrt(1008)))**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.287 - 0.113. What is the third biggest value in -0.6, x, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 69*y - 1036. Calculate h(48).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - m + 91 = 98, 4*j = m + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b + 6. Let d(v) = 5*v**2 - 4*v - 25. Determine 2*d(o) + 9*z(o).\nAnswer: o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(((-6118)\/190 - -30) + (-1132)\/40)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(1\/66)*n*n**(-5)*n*n**(-1\/3) assuming n is positive.\nAnswer: n**(-329\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 202443133?\nAnswer: 202443124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*k + 32*k - 85*k)*(-16*k**2 + 15*k**2 + 20*k**2)*(-2*k - 3*k + 7*k).\nAnswer: 3534*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -34. Suppose -1\/3*t**4 + 0*t**3 + k*t + 0 - 1\/3*t**5 + 0*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/91 and -99\/1196.\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*s - 65*s = -181*s + 1139552. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3374 + 3374 - 9*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/((f**25\/f)\/f))*f)*f\/((f\/f**(2\/39))\/f)*f assuming f is positive.\nAnswer: f**(-817\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/(-15))\/(1\/939)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 72*j + 322 - 648 + 327. Give g(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 20, 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1303941 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1653 less than or equal to -1650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 168. Suppose -3*x = -2*u + 18 - 822, -5*x + 5*u = -1350. What is the smallest common multiple of h and x?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -1. Let g be (10\/8)\/(2\/(-16)). Let l = 7 + g. Is l <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201103231 + -2012?\nAnswer: 201101213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165996*i**2*j**3*u + 93*i*j**2*u - i*j**2 - 4*i*j*u - 4*j**3*u wrt i.\nAnswer: 331992*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x**(2\/7)\/x))**(-47))**(-2\/71)\/((x\/x**(-1\/2))**(2\/57)\/(x**(3\/7)*x**(-2))) assuming x is positive.\nAnswer: x**(31100\/9443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6197 - -6200. What is the second smallest value in 5, l, -0.19, 4.7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18056)\/(-671))\/(0 + 2) + (-56)\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301441543668679 - -0.4.\nAnswer: -301441543668678.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 113*y - 91995. Give t(252).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25555236 divided by 42\nAnswer: -608458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 (base 9) in base 7?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*h = h + 17, -5*l + 5*h - 40 = 0. Find the common denominator of 202\/(-5)*l\/80*2 and ((-1)\/(-2))\/(4\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260932 divided by 3?\nAnswer: 260932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**2 - 2 - 8861*g + 4434*g + 4424*g + 24*g**3 in the form a*g**2 + f + v*g**3 + h*g and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8610072 + -5083650. Let o(l) = 2975477*l + 9. Let z be o(-3). Let n = z + t. Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72bc2 - 4?\nAnswer: 72bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 + 62*z**2\/3 - 4024*z\/9 + 2440\/3.\nAnswer: -2*(z - 61)*(z - 30)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 5. Suppose 0 = 4*m + 8. Let g(n) be the second derivative of -n**3\/6 - n**2\/2 - 6*n. Let h = -8 - 2. Give h*g(y) + m*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*s + 6*h + 5, -4*h = 5*s + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 163386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + 2 + 15 + -7 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 minutes before 12:20 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -893.46502 rounded to the nearest ten?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664791*h - 2664788*h - 19 = -4*g, -6*g + 7*h + 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/(3 + -2). Let y(x) = -2 - 4*x - 6*x**2 + 11 - 7*x**2 + x**j + 4*x**2. Determine y(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:59 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2702881 and 19737.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1225358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5 - 4 + 0 - 249028*y**2 + 249027*y**2 + 9. Let p(j) be the third derivative of -17*j**5\/30 - j**4\/24 - j**2. Give p(n(u)).\nAnswer: -34*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - (2 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhv when three letters picked without replacement from {b: 5, a: 2, p: 2, v: 3, n: 4, h: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662865661?\nAnswer: 233, 2844917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13940 and 21930.\nAnswer: 1798260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 339\/4. Let y = -0.4 + 0.3. What is the nearest to 0.1 in c, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6220 (base 13) to base 4.\nAnswer: -3103222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 637322, 1273859, 1910396, 2546933?\n\"Answer: 636537*w + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 487, -1 in ascending order.\nAnswer: -1, -0.4, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 131 - 159 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278604 is divided by 111.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1 - 16) + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 3*d + 4. Let y = 4 + -2. Let m be p(y). What is the second derivative of -6*z**3 + m*z - 4*z**4 + 6*z**3 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 2. Let n be j(-2). Let p(c) = c**2 - 2*c + 1. Let h be p(n). Is 18 - (-1 + 0)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = 3*u. Let l be 5*-2 - u\/(-5). Let g be 2\/(-8) + l\/16. Is g <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -6.5?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1335*u**5 + 15*u + 30 wrt u.\nAnswer: 26700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose 2*a + 3*k = 2 + 1, 2*k = -2. Suppose -12 = 4*o - c*w, -18 = -o - a*w - 6. Solve o = -0*m - 2*m + 5*q + 25, 5*m = -4*q - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 70*k**2 - 1\/21*k**5 + 0*k**4 + 0*k**3 + 0 - k + 1\/1470*k**7 + 1\/105*k**6. Factor l(b).\nAnswer: b**2*(b - 2)*(b + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/40*6*27\/(-81)*(-4)\/14.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence masv when four letters picked without replacement from {v: 1, a: 1, m: 1, s: 1, r: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145 is divided by 201.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4 + c - 4*c + 0*c + 2. Let u(a) = 1. Determine -p(n) + 6*u(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/33, -0.12, 0.5, 4, -0.4, 16\/5, -0.146?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(19 + -19). Let d be (-4)\/(-3) - 12\/9. Suppose 15*g - 14*g = d. Is l > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -2.\nAnswer: -5, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - ((-42)\/(-18) + -2))*-3. Is 48 a factor of -534*f\/(-6)*(-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -5. Let b = -24 - w. Find the second derivative of -4*t + 6*t**3 + t**3 + 9*t**b - 10*t wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**15\/(a*a**(-1\/4)*a*a)**(2\/155))**(24\/7) assuming a is positive.\nAnswer: a**(-132\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - x - 2 = 0, -2*c - 2*x = 3*c - 23. Let b(j) = c*j**2 - 5*j**2 - 21 - 2*j + 22. Let f(o) = o**3 + 4*o**2 - 4*o + 6. Let g be f(-5). Determine b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15495233, 2 in increasing order.\nAnswer: 2, 4, 15495233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b + 7. Suppose -b*y + 31 - 6 = -q, -3*y + 2*q + 8 = 0. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 56*k + 18. Let r be w(-28). Solve -6*b + n = -b + r, 0 = -5*b + 2*n - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31678\/4 + (-2)\/(-4). Suppose 12282 + a = z. Let k be z\/(-2) - (2 - 3). What is k rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b4 + b?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8834*p**3 + 3*p - 18. Let d(c) = c**3 - c + 9. Calculate -2*d(a) - o(a).\nAnswer: 8832*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112201101110121 (base 3) to base 8.\nAnswer: -35654725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55971.9 rounded to the nearest 100?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*x + 512 + 719 + 105 - 146 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*u + 2*u**2 - 5*u**2 - 99*u + 93*u to s*u**2 + v*u + d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 32 = 3*g, 2*g - 24 = u - 37. Solve -5*b + 2 = u*w + 17, 0 = 3*w + 4*b + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/4 - 1437*p**2\/4 - 51472*p - 478545 = 0.\nAnswer: -122, -10, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.214629km?\nAnswer: 9214629000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-4\/7)\/k*k))\/(k*k\/k**(-5\/7))*k**(15\/2)\/(k\/k**(-13\/2)))**(-10\/7) assuming k is positive.\nAnswer: k**(150\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 50*c + 130. Let p(a) = -a**2 - 29*a - 5. Let s be p(-29). Let t(n) = -1. Let r(v) = s*t(v) - l(v). Find q such that r(q) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*((-15)\/35 + (-6)\/21). Factor -4\/3*n**3 + 0*n**4 + 0*n**2 + 0 + 2\/3*n**z + 2\/3*n.\nAnswer: 2*n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 + 1045 = -204*l - 841*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 24. Suppose u*j - 35 = -5*n, 2*j - 2 = n + n. Suppose j = -2*g, 3*f - 8*g - 28 = -3*g. Solve f*y = y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 + 8 = 3*z, 3*r + 42 = 5*z. Let w = -15 + z. Calculate the remainder when 388\/5 - w\/(-15) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -679064.8 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13087, -32755, -52427, -72103, -91783?\n\"Answer: -2*w**2 - 19662*w + 6577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30*t + 93. Let p be j(-2). Calculate the highest common divisor of 121 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 2 - 2. Let m(i) be the third derivative of -i**5\/30 - 46*i**2. What is b(m(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4117 plus -93795?\nAnswer: -97912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 2 j when four letters picked without replacement from {j: 3, n: 1, i: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-8))\/((-6)\/20). Let w = 634 + -632. What is the second biggest value in 3, l, w, -2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0607 and -0.14684 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24*w + 24*w - 1 - w**2. Let i(v) = -9*v**2 - 11. Let x(s) = 2*i(s) - 22*n(s). Let t(m) = -2*m. Determine x(t(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 926 - 469 = 0. What is the remainder when g is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131709.\nAnswer: 3, 43, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 28.8. Sort -39, 1, d.\nAnswer: -39, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = -b, 2*s - 18 = -b - 3*b. Let c = b - 4. Suppose 0 = c*i - 10 - 8. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + sqrt(931) + -1)**2 + -3)*6*-4.\nAnswer: -22488 - 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + c**2 - 21 + 21)*(1 + 3 - 2).\nAnswer: 8*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/8 + 257\/56. Let n = -4.6 - -5. Let p = n - -3.6. What is the third biggest value in p, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5166 - 5138. Solve 21*g - 112 + h = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 8 = -3*p. Suppose z = -p*z + 195. What are the prime factors of (-3)\/(-5) + 611\/z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1009.\nAnswer: 7063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, j: 1, n: 1, q: 2, h: 3, v: 3}. What is prob of sequence vz?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 2*i = 648. Let q(l) = l**3 + 28*l**2 + 20*l + 6. Let d be q(i). Is d at least 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11789322, -11789297, -11789272, -11789247, -11789222, -11789197?\n\"Answer: 25*k - 11789347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019 = 10*l + 325 + 464 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1 - -4) + -29 + 144 and 156.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231166 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 40212617 and 40212625 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Let z(a) = -5*a**2 - 2 - a**q + 0 + 5 - 5*a. Does 14 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q - 14*q - 14*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5\/4, 68, -2, 4 in descending order.\nAnswer: 68, 4, 5\/4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 4. Let q(r) = r**3 + 30*r**2 + 3. Let n be q(-30). Suppose f - n = b. Which is bigger: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/((m*m**(-11)*m)\/m) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*l**3 - 882*l**3 + 1316*l**3.\nAnswer: -295*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21779.1 - -21779. Put -1, p, 5, -15 in ascending order.\nAnswer: -15, -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 90 = 2*m - 3*z, -4*m = -4*z + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2, -5\/4, 2518, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -1.95. Let h = o + -1.999978. What is h rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106621 + 33416?\nAnswer: 143340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l + 690 - 613 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 2*d)*(-5*d**3 + 0*d**3 + 3*d**3) + 4*d**4 + 3*d**4 - 4*d**4 - 2*d**4 - 2 + 2.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03014 * 0.4\nAnswer: 0.012056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7729486182.\nAnswer: 2, 3, 11, 331, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 2, l: 1, r: 2, j: 1, i: 2}. Give prob of picking 1 y, 1 q, 1 r, and 1 j.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgmgcccggcc. What is prob of sequence gccc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11523 (base 8) to base 10.\nAnswer: 4947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - -666. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 28\/8)*6. Let f be d\/18 - (-4)\/(-8). Let l = -76.85 - -77. Is f greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 150*g + 157*g - 311*g - 1. Let h(x) = -9*x - 2. Suppose 0 = -11*k - 281 + 336. Give k*q(t) - 2*h(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2 + 26260*t + 131127. Determine b(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:59 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = -0. Suppose 0 = -2*x - u + 9, -5*x - 2*u + 24 = 2. What is the remainder when ((-5)\/4)\/(o\/12) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.1242193.\nAnswer: 0.6210965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 + (-26)\/(-22). Let r(s) be the first derivative of -s**2\/2 - 9*s - 3. Let z be r(-5). Which is the nearest to -2\/5? (a) 4 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2 - 4*c + 4*c + 5*c + 4*c**2 - c**3 + 2*c**3. Let u be s(-2). Solve -2*h - 2*x - 14 = 0, u = -4*h + 3*x - 0*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + sqrt(52)\/sqrt(4) + 1.\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*f - 76*f - 3010 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 54, 93, 158, 255, 390, 569?\n\"Answer: p**3 + 4*p**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l. Let g = 52 - 41. Suppose 0 = -g*p + 7*p + 44. Let o(f) = p - 18 + 7 + 2*f. Give d(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079400402 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffb when four letters picked without replacement from {t: 3, b: 1, f: 13}.\nAnswer: 143\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 1767325120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.038 weeks to days.\nAnswer: 273.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49313136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59341518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*p**2 + 101*p**2 + 6 + 8 + 8 - 20 to the form j*p**2 + o*p + k and give j.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*y - 28, 0 = -4*s - 29*y + 31*y. Which is the nearest to 2\/9? (a) -0.3 (b) s (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/2))\/r*(r**(-1\/2)\/r)\/r)**(-5\/9))**(-14) assuming r is positive.\nAnswer: r**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -5. Let f = 198 - 193. Suppose -5*n - 5*v = -35, -4*n + 8*n = -f*v + 31. Sort -3, t, -5, n.\nAnswer: t, -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8 and -6007702.\nAnswer: -16821565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -655*y - 1461. What are the prime factors of w(-18)?\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4832 or 874483\/181?\nAnswer: 874483\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 122*z**2 - 240*z - 321. What is d(-59)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6902403 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5370228 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12332?\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5124017.96 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98684 - 44433. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 2360.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40637 is divided by 164.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*x - 5*x = 243, -2 = 2*x. Let w be (24\/39)\/4 - f\/65. Suppose -r + 0*d - w = d, 2*r + 1 = -5*d. Put 0, r, -2 in descending order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 - 4*y - 3*y**3 + 3*y**2 + 4*y**3 to the form t + z*y**3 + i*y**2 + m*y and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651933147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 54\/7 (b) -5 (c) 8 (d) 0.7 (e) 0.3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*k = -27, 18 = -5785*r + 5787*r + 2*k. Factor 0*y + r + 1\/9*y**3 - 2\/9*y**2.\nAnswer: y**2*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3435384 divided by 10\nAnswer: 1717692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, f: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:22 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*i - 9, -37 = 4*i - 2*c - 31 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -432121141?\nAnswer: 432121131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -161144 and -161144 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*l + 10 = 0, -4*g = -7*l + 3*l - 24. Which is the smallest value? (a) 2 (b) -3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, 1 y, and 1 s when four letters picked without replacement from {y: 1, s: 1, u: 7, o: 6, q: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 280 = k + 3*k, 0 = -2*k - 8. Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y - 8. Sort 0, 1, y, 4 in descending order.\nAnswer: 4, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 7*h**2 + 5*h**2 - 6*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 - -13) - (4 - (-6 + 35))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000113406375 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2532913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 13. Let t(g) = -g**3 + 9*g**2 + 10*g - 4. Let q be t(10). Let a be d(q). Calculate the greatest common factor of a and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (24\/16)\/((-24)\/464).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let f(p) = 25*p. Let d(x) = 22*x. Let n(v) = -4*d(v) + 3*f(v). Give n(a(t)).\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -81, -77, -73, -69, -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -9 - 39 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -37 + 7. Suppose -30 = 5*d - a*d. Calculate the least common multiple of 54\/10 - 6\/(-10) and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {t: 10, d: 4}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1445 + 1040311?\nAnswer: 1042200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1250.436 - -1250.39599886. Let j = -0.04 - y. What is j rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = -6. Suppose b - 5*p = 16, 2*p - r = -5*b - 3. Solve 0 = 3*s - 4*z + 1 + 2, -s = 3*z + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 99. Suppose -s - 6 = -v. Solve j + 2*b - s = 6*j, 0 = -b + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5007cd (base 16) to base 12.\nAnswer: 190b291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -25*l - 2. Let x(c) = 1265*c + 559. Give x(d(t)).\nAnswer: -31625*t - 1971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2 + 1. Suppose 0 = 4*b - 0*b - 5*r - 124, 0 = -5*b + 3*r + 142. Suppose 0 = -6*q - b + 8. Give d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 - 2\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 18. Let l be (28\/(-21))\/(4\/v). Suppose -33 - 256 = -h - l*q, 3*h - 917 = 4*q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/((-93)\/1054*(-1)\/(-3)). Calculate the highest common factor of y and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i - 14*i - 81*i**2)*(i**2 + i - i).\nAnswer: -81*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80481739 divided by -247.\nAnswer: 325837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from jpmppooponnompo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y. Let u(r) = -180*r - 25. Let l(d) = 7*d + 1. Let t(b) = -25*l(b) - u(b). Give w(t(f)).\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 9. Let v be g(-6). Suppose -v*x = -3*b + 21, -2*b + 24 = 2*b - 3*x. Let p(q) = q**2 - q - 2. Let m be p(2). Sort m, 1, b in ascending order.\nAnswer: m, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-206)\/(-14) + (-14)\/(-49). Calculate the lowest common multiple of (2\/2)\/(5\/q) and (1\/(-3))\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2492883237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, 205, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-27) - (-4)\/3. Let r be 4\/o + 120\/(-20). Does 6 divide r - (3 - 4) - -46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 182, 241, 264, 239, 154?\n\"Answer: -2*z**3 + 97*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22279 + 22295. Calculate the smallest common multiple of 1812 and k.\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/7)*t*t**(-3\/5))\/((t*t**11)\/t)**(-1\/2) assuming t is positive.\nAnswer: t**(533\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h - 3. Let f be v(-5). Let g = f - -62. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 1442, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 1. Let u be p(-1). Let c = 2 - 1.9. Let r = -0.02 - 3.98. What is the closest to c in 2, r, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/64*((-2)\/(-9))\/(3\/54).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 1254 = 18225 + 16521. Is 2000 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-6)\/10)\/((-3)\/2). Suppose z + 2*c + 4 = -3*z, z + n*c = -7. What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12260 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 730284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 39*s**2 - 60*s + 514. Let g be u(-37). Let o(j) = -j**3 - 2*j**2 - 2*j - 31. What is o(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 973, -2, 0, 2 in ascending order.\nAnswer: -2, 0, 2, 973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 5. Let o(r) = -8*r + 5. Let u(d) = -4*l(d) - 3*o(d). Let f(m) = -m + 1. Let t = -17 + 16. What is t*u(g) + 3*f(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169277 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 816 - 810. Suppose j*q + m = 9, -5*q + 9*q - 2*m = 38. Calculate the highest common factor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from fifiiififii.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15385 and 2353.\nAnswer: 200005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*124\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107023937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3064 is divided by 322?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11334 = -3*m - 4*g - 3597, 0 = -m + 3*g + 2579. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 2:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8323)\/460 - (12*-2)\/8. Let t = 18\/115 - l. Find the common denominator of 17\/6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 13 = -2*t. Suppose t = -3*u + 6*u. Let a = u + -5. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x - 65. Let g be v(0). Let w = g - -99. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40820.13 to the nearest ten.\nAnswer: 40820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 16. Suppose 2*j - o = 2*c, 0*j + 3*c + 12 = j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28096226, -56192451, -84288676?\nAnswer: -112384901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*d + 38, -6*d + 9 = -3*d. Let r = 8 + -13. Let b = i + r. Put b, -1, 5 in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104512220 (base 7) in base 11?\nAnswer: 3629317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 minutes before 5:42 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-13) + 12\/858*11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + (-214 - -185)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 2, g: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 26. Let f = l - -20.99936. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-5)\/((sqrt(8)\/sqrt(2) + sqrt(4) - sqrt(4))*4) - (sqrt(432) - (sqrt(432) + -3) - sqrt(6)\/(-5*sqrt(2))))**2.\nAnswer: 81*sqrt(3)\/5 + 3087\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 17 - 6 + 0)*(-5 - t + 5)*(6 + 9 + 23)*(-3*t + 2*t + 0*t).\nAnswer: 152*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -a - 86, 20 = -0*n - n - 3*a. Does 8 divide -2 - -3 - -1 - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19901 - -4?\nAnswer: 4.19901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -20*u + 24*u. Let z = -132 + u. Solve 5*w + 0 - 5 = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139\/1808 - 6\/565. What is the common denominator of v and 145\/1728?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 55*s**3 + 9*s**2 + 43. Let p(l) = 27*l**3 + 4*l**2 + 22. Let f(h) = 9*p(h) - 4*r(h). Find the first derivative of f(m) wrt m.\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.4. Let i = 1649\/9 + -183. Which is the smallest value? (a) f (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 159.17832049 and -5.\nAnswer: 154.17832049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 30*l + 1. Suppose 44 = -0*j + 4*j. Is s(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5670000 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2473 + -618. Suppose -x = -7*p - 0*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3890 - 3893. Put -0.1, n, 2\/9, -1\/15 in descending order.\nAnswer: 2\/9, -1\/15, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100011 + 0?\nAnswer: 1001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -25.2. Let i = -22.9 + q. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvww. Give prob of picking 1 w and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 - (2 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:57 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 4*f - 5. Let z be d(-4). Let y(m) = -m - 3. Let h be y(z). Suppose -h*n - n = -108. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x. Let a be v(7). Solve -2*k - 2*k = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 3 - 2 + j**3 - 3 - 7*j. Let r be a(-6). Let v = 67 + r. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-660)\/(-12) + -9 + -6. What is the highest common factor of 320 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + 6*x - 5. Let u be z(-6). Let q(d) = -2*d + 8. What is the remainder when 69 is divided by q(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(11\/(-132)). Solve -3*y + 4*s = 11, b*y = 2*y - s + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**7\/147 + 2*x**6\/105 - x**5\/10 - 4*x**4\/21 + 4*x**3\/7 + 851*x. Solve k(v) = 0 for v.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -512 and -0.085?\nAnswer: 43.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26854076?\nAnswer: 2, 587, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13.86528 kilometers?\nAnswer: 13865280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1, 25, -4, -606 in increasing order.\nAnswer: -606, -4, -2, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30*c**3 - 2*c**2 - c. Let s be p(-1). Let v = s + -16. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:14 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d + 590. Give c(-29).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*((-3)\/(-2) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/15343 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (168\/63)\/((-4)\/(-6)). Suppose 5*n + 1360 = 5*c, 0*c + 5*n = -w*c + 1133. Let z = 402 - c. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 - -765\/7. Let g = -5.2 + 8.9. Let z = -3.4 + g. What is the smallest value in 5, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 32*v**2 + 36*v + 26. Calculate z(-33).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-14) + 621\/30. Let k = u - 22. Let l = -16 - -49\/3. Which is the closest to l? (a) -4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 7*q + 13. Let y(s) = -2*s**2 - 5*s - 9. Suppose -z - 7*z = 40. Determine z*r(w) - 7*y(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 4*y**2 + 0*y**2 + (79*y - 12*y - 2*y)*(5*y - 2*y - 2*y) + (y + 4*y - 4*y)*(0 + 0 + y) + 4 - 4 - 2*y**2.\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-28) - (-396)\/(-42). Let u(w) = -48*w - 250. Is u(a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.25698594 to four decimal places.\nAnswer: 8.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6499.\nAnswer: 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 3872?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 348, 717, 1076, 1419, 1740, 2033?\n\"Answer: -f**3 + f**2 + 373*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 + 59625*q**3 - 1433765*q**2 + 1374135*q = 0. What is q?\nAnswer: -11949, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*y + 37 = 0, -148*y + 4 = -2*g - 146*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, o: 9}. Give prob of picking 3 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2454 = -18330. What is the common denominator of 49\/4 and -140*2*7\/q?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 2 - (15 - -4 - -11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 2*j. Let x(i) = -i**2 - 3*i. Let u(m) = 3*g(m) - 2*x(m). Let f(n) = -11*n. Determine f(u(y)).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x - 5 = w, -3*w - 2*x + 5 = 0. Let j(p) = -4*p + w*p + 6*p. Let i(z) = -105*z + 35*z + 35*z + 36*z. Calculate j(i(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = -2*z. Let v be 6\/z - 963\/114. Let h = 8 + v. Which is the second smallest value? (a) -2 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 100*p. Let n(k) = 5*k**2 - k**2 - 2*k**2 + 0*k**2. Give n(b(t)).\nAnswer: 20000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1255, -1264, -1287, -1330, -1399?\n\"Answer: -i**3 - i**2 + i - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10+1436.10022608\nAnswer: 1426.10022608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-2*2 + sqrt(800))\/(sqrt(4)*-1*6 - (sqrt(4) - sqrt(8)\/sqrt(18))).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + -1 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p\/((p\/(p*(p*p**(-27)\/p)\/p))\/p)))**(-41) assuming p is positive.\nAnswer: p**(-451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l - 1\/16*l**6 - 3\/16*l**4 - 9\/40*l**5 - 13. Factor g(c).\nAnswer: -3*c**3*(c + 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1200686940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + 3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3451629*m**3*u**2 + 29*m**3 + 2*m**2*u + 4644 wrt u?\nAnswer: 6903258*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from dtxdttxdddsxtdttsx?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(432)*-1 + -1)*-4*5.\nAnswer: -3840*sqrt(3) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -90, 0.1, -527?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110040 is divided by 451.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-2)*100\/30. Solve 5*s = -4*r - i, -27 = 4*s - 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(21)\/(sqrt(7)*1))*-5.\nAnswer: -5*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/4 (b) -5 (c) -2\/5 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13074623 is divided by 5775.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1236?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8188 = -8*q - 195*q + 541 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-14.7\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7403996 and 1.04?\nAnswer: 7403994.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2\/5, 369, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j + 6. Let n be v(-6). Suppose 14 = -h + 8. Let f be 16\/2 - (-3 - h). Solve 31 = -f*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (126\/26 + 12\/78)*1. Solve 3*o - 5*o = -z, j*z - 22 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 162777847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - -360c98?\nAnswer: 360cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 m, and 1 w when four letters picked without replacement from yivzmzwv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 1b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-1)*w)\/w)*w)**(-3)\/(w**(1\/4)*w)**(-4\/25))\/((w\/w**0*w)**(-2\/45)*(w*w**(-2\/5))**(-35)) assuming w is positive.\nAnswer: w**(553\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, 2\/7, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112017121.86 and 6.\nAnswer: 112017127.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 2. Suppose 15 = 4*g - 9. Let l(w) be the second derivative of -w**3\/6 + 17*w. Give g*l(j) + x(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15533424 by 6.\nAnswer: -2588904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 0*c**2 + (0 + 2 - 4)*(-5 - 2*c**2 + 5) + 3*c**2 - 6*c**2 + 2*c**2)*(2 - 2 + c**2).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhytxx. What is prob of sequence hnh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 - i**2)*(5 - 6 + 2) + 6*i**2 - 4*i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 39\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -57*z. Let f(l) = -4*l**2 + 6. Let t(n) = 3*n**2 - 5. Let s(w) = -5*f(w) - 6*t(w). Give c(s(j)).\nAnswer: -114*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4514150 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 17.21?\nAnswer: 17.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.013 - -1.427. Let g = 4275.4574 - 4274. Let s = i - g. What is s rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319 - -324. Solve k*y - 10 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5658)\/42 - (-4)\/(-14))\/(-1). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 30.3\nAnswer: 151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 3. Let t = -10 + 9. What is the third smallest value in t, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3126, 12848, 29156, 52050, 81530, 117596, 160248?\n\"Answer: 3293*v**2 - 157*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163682*f = -163677*f + 60. Let h(c) = -17*c - 199. Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24795 and 6235?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773.8923 years to centuries.\nAnswer: 7.738923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x - 9. Let a be l(4). Let i = a - -81. Solve 5*t - i = -0*j + 3*j, 3*t = -j + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(1\/2 - (-319)\/(-22)). What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - 3 - 2*l**4 - l + 4*l**3 - 2*l**2 to i + p*l**2 + f*l**3 + d*l**4 + b*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -27*p**2 - 1\/9*p**3 - 1\/135*p**5 + 0*p - 7\/108*p**4 + 0. Determine l, given that f(l) = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 13806.\nAnswer: 82836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z - 11. Let k be j(-2). Solve -5*o - k*l = 15, 3*l = 3*o - 0 + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(45\/(-12))*87\/58\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*o = 378*o + 468 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445984 and 158375.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*v + v + 2926 = 0, -1954 = 2*y + 4*v. Let i be ((-8)\/10)\/(3\/y). Suppose u + 2*u - 193 = -4*j, -4*u + i = 4*j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10103801 and 0.00750215?\nAnswer: 10103801.00750215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 1184?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h. Let x(m) = -16*m**2 - 5*m. Let i(u) = -5*w(u) - x(u). Let t(n) = n**2. What is i(t(p))?\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let h be f(-3). Suppose 0 = 2*c + q - 19, -4*c + 34 = -4*q + h*q. Let u be 61\/c - (-6)\/27. Solve 3*y + 5*w - 6 = 0, w + u = -3*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/14 and -29\/16800658.\nAnswer: 16800658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*a - 10*p - 175, 0 = -5*a - 5*p + 225. What is the highest common factor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**40*(((a*a**(-46)*a)\/a)\/a)\/a*(a**(-2\/35)\/a)\/a*a**(-11\/8) assuming a is positive.\nAnswer: a**(-2921\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 4 - -8) + 0\/2 + 14363. Round i to the nearest one hundred.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2be6 + 8?\nAnswer: 2bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*h + 84 = 299*h. What is the remainder when 465 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/19 + 58624*s**2\/19 - 234472*s\/19 + 234464\/19 = 0 for s.\nAnswer: 2, 29308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.094 + -0.094. Let j = -0.02 + -11.98. Let w = -7 - j. What is the nearest to -1 in w, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 551*r**8\/168 - 99*r**4\/8 - 177*r**2 - r. Find the second derivative of d(l) wrt l.\nAnswer: 22040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7786285 centuries?\nAnswer: 77.86285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15701310 (base 9) to base 3.\nAnswer: 112210001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8022 at least as big as 8021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -16 + (-10 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44947.\nAnswer: 7, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2585, -10301, -23153, -41135, -64241, -92465, -125801, -164243?\nAnswer: -207785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f. Let b(j) = -5*j - 6. Let m be b(-2). Suppose 5*c + m - 54 = f. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34832 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 262828*b**2 - 4317541260*b + 4317278436.\nAnswer: -4*(b - 32853)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 + 823*o + 409. What is y(137)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 380416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let n be 1 + (2 + 8)\/z. Solve -g = -n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -49\/5. Let l be 0\/2 + 21\/4. Let n = l - 73\/12. Put 2, n, z in decreasing order.\nAnswer: 2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 58*w**2 - 9*w - 13. Suppose -5*s + 2*n + 4 = 24, -4*s + 3*n = 9. Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2134*p + 4401*p - 2172*p = 285 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 14 - 8)*(h - h + h) - 5*h + 5*h + 3*h)*(3*h**2 - 3*h**4 + 2*h**4 + 0*h**2).\nAnswer: 16*h**5 - 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1033.8 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 904*c + 15274. Give f(-17).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**2 + 5*u. Let p(c) = c**2 + c. What is -5*p(v) - x(v)?\nAnswer: 2*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/2)\/(2\/136). Let d = z - 168. Solve 15*m = 17*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 + 61876*k + 44034528 = 0?\nAnswer: -696, 31634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.3 - 22.3. Let y = 2196 + -98789\/45. Let l = y - 1\/45. Which is the nearest to h? (a) 2\/5 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 77*l**2 - 418*l - 48. Determine t(6).\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + (-27 + 11 - -14 - (-8 - -4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (0\/(-2))\/(-1). Suppose 4*v - 4*c = 136, -c + z*c = -2*v + 83. Let y = -8 + v. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 - (-9 - 1). Suppose 0 = -4*c + 2*c + m. Suppose 15 = 3*r - 39. Solve c*t - 7 = r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l\/l**(1\/3)*l**(-1)*l*(l**(1\/5)\/l)\/l assuming l is positive.\nAnswer: l**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11010 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, y: 2}. Give prob of picking 1 e and 2 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-2)\/(-30)*3*5. Suppose -k = -5*s + 4*p, -4*s + p = 5*p - 40. Which is the smallest value? (a) s (b) 4 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*d = -d + 748, d - 4 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:39 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**3 - 2440*y**2 + 1117*y + 24455. Give s(-349).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 8. Let j = -265 - -266. Let q be b(j). Solve -15 = -8*m + q*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 734576 and 780208?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1*5)\/(sqrt(6) - (sqrt(6) + sqrt(6) + -4*sqrt(216))).\nAnswer: 5*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*0\/953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k - 2*k)*(60 - 60 + 5*k) in the form g + i*k + n*k**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.379 + 0.2\nAnswer: 0.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**5 + 3*y**5 - 2*y**5 + (-2*y**3 + 2*y**3 - y**3)*(-2*y**2 + 2*y**2 - y**2))*(1 + 4 + 5).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 106\/11 (b) 3 (c) -1\/10 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -4b?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - 1*sqrt(66))\/sqrt(6)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3495\/22 - 159. Let k = 4128 - 4129. What is the closest to k in d, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {k: 12, i: 1, b: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = 0, -u + 48 = 3*u - 3*d. Find the second derivative of -14*f - f**4 + u*f**4 + 21 - 21 wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 33. Let c(s) = 1 - 2*s - 3 - s + 2*s**2 - 1. What is the remainder when c(-2) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 + o**4\/4 + 7*o**3\/6 - o**2. Let f be (-58)\/8 + (-3)\/(-12). Calculate the lowest common multiple of y(f) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 205? (a) 4 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110001011001001110010010?\nAnswer: 110001011001001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a second in milliseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, 17, 49 in increasing order.\nAnswer: -3, 0, 5, 17, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6480.4479883443 from -2.\nAnswer: -6482.4479883443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 4*m - 3*m + (-2 + 2 - m)*(0 - 8 + 3).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 47 = -4*y, -2*m + 85 = 4*y + 27. Let r = 88 - m. Suppose -236 = -3*c + 4*i - r, -5*c - 2*i + 299 = 0. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10623, -21247, -31871?\n\"Answer: -10624*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10430)\/596*(-1)\/(5\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265 + -160. Let l = -35 + p. What is the highest common divisor of 35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51884 at most as big as 51883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2847 + -877. Suppose 0 = -9*c + z + 5950. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 6 - 3)*(-1 + 1 + 3*n) to p + k*n and give k.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277\/9 - -31. Factor 0*n**4 - 4\/9*n**3 + d*n + 0*n**2 + 2\/9*n**5 + 0.\nAnswer: 2*n*(n - 1)**2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 368.5?\nAnswer: 378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1\/i)\/i)**(1\/5)*(i\/i**2)\/(i*i**1))**(-38\/3) assuming i is positive.\nAnswer: i**(608\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*c = 840, -1176 = -b + 8*b + c. Do b and -669\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/9*57\/(-19)*(-19 + (-17134)\/(-910))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/338*(-286)\/(-1386)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210.2 - -210.11. Let j be (-1)\/4 + 9\/20. Let z be 0 + 0 + 9 + -9. Which is the third biggest value? (a) j (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16146843721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*g + g**3 + 11*g**2 - 29 - 26*g**2 + 15*g**2.\nAnswer: g**3 + 43*g - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w - 20 = -2*u, -2*w = 5*u - 2. Let l(x) = -2*x**2 + 1. Let n(g) = 3*g**2 - 2. Determine w*l(j) - 3*n(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 29. Let c be r(-12). Solve 0 = -2*a + c*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 606*y**2 - 16 - 617*y**2 - 5*y)*(-3 - 3*y + 4*y + 1).\nAnswer: -11*y**3 + 17*y**2 - 15*y + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 0. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 43*w**2 + 459*w - 23. Calculate p(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19673865 and 6360?\nAnswer: 157390920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuok when four letters picked without replacement from {m: 4, o: 1, k: 7, c: 2, u: 3}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + 110100001?\nAnswer: 110021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -719, -746, -813, -938, -1139, -1434, -1841, -2378?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 43*n - 184. Let y be b(38). Solve -2*m + 6 = 3*q - 0*m, -q - 2*m = -y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 510 and -2468.\nAnswer: -1258680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**35\/(h*h*h\/(h*h**(4\/9)*h*h)*h)**45)**(1\/42) assuming h is positive.\nAnswer: h**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6576\/60)\/(4\/50). What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 33 = -p + 5*j, -j + 21 = -4*p. Which is the third smallest value? (a) p (b) -0.2 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.42349l?\nAnswer: 47423.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkrkvmrmvvamm. Give prob of sequence amrv.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -328, -847, -1602?\n\"Answer: -118*t**2 + 71*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/24*2\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/2 + 4*t**3\/3 - 5*t**2 - 28*t. Let l(o) = 3*o**2 - 18*o - 16. Let f be l(7). What is the hundreds digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/(-32)*-2*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-2)\/24). Let v be (-7 + (-133)\/(-14) - 1)*4. Factor -8*w**2 + m*w**2 + 2*w**3 - v*w**3 + 2*w**3.\nAnswer: -2*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 9. Let y(b) = 2*b**2 + 0*b + b**3 - 3*b + 0*b + 2. Let n be y(z). Solve -n*c - 2 = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17357597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -669a11 (base 11) to base 3.\nAnswer: -2000020010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 3, j: 6, g: 3, w: 4, x: 1}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*p**3 + 230*p**3 - 139*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 10*k + 16. Is d(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 13, 0, -0.3, -54314, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a = -y - 126, 10310*a + 4*y = 10315*a - 97 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0 + 0 + 0*a**3 + a**3 - 2*a**3 + (-3*a - 2*a**2 + 3*a)*(-2*a + 2*a + a))*((-15*a - 19*a + 16*a)*(0 + 1 + 0) + 6 - 6 + 23*a).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 814, 769, 686, 553, 358?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 1\/2*v**3 + 1\/120*v**6 + 0 + 0*v - v**2 + 1\/12*v**4 + 1\/15*v**5. Let c be 3*2\/6*-4. What is t(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453 - -429.7. Let m = a - -23. Let o = 2428 + -2428.5. What is the nearest to 1 in 0.09, m, o?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1397 and 38.\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -4) + (-108)\/(-6). Calculate the highest common divisor of 154 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(6*g - 3*g**2 - 6*g + (3*g**2 + g**2 - 2*g**2)*(5 + 3 - 3)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in 32\/9, 3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose -11 = i*k + 44. Let c = k + 16. Let u(r) = r**2 - 5*r - 6. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(1\/17)*r\/(r**1\/r)*r**(1\/4))\/((r**(2\/3))**(-13\/3)\/(r\/(r*r*(r\/(r*(r\/r**1)\/r))\/r*r*r))**(-12\/19)) assuming r is positive.\nAnswer: r**(70501\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:36 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3401 (base 6) to base 4\nAnswer: 30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 24*c - 772. Give l(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*d**2 - 846*d**2 + 737*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1034 and -93\/1034.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u - 8. Let p be m(-7). Let b be -12*((-248)\/32 - -2). Let s = b + p. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 5)*(1 + 3 - 3)*(x - 2*x - x) + (-1 - 1 + 5)*(5 - 5 - x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 82\/(-154) + 18\/(-63). What is the closest to 0 in 2, o, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028522737 to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 46256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22856211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - ((-3)\/3)\/(-1). Suppose -3*h = -7*h + 100. Suppose -h = -5*f + 3*c, -5*f + 20 = 2*c - 5. Put -1, r, f in decreasing order.\nAnswer: f, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 27, 71, 137, 231, 359, 527?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -13 + 5. Let y = 1445 + -1438. Find the second derivative of -11*u**2 + 12*u + 4*u - y*u**f + 5*u**2 wrt u.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.449296 litres in millilitres?\nAnswer: 2449.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.1 (b) 2 (c) -71514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and 16.04.\nAnswer: 16.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(15\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3c0 (base 15) to base 13\nAnswer: 50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.55522ug to grams.\nAnswer: 0.00006055522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/28 + 3501\/21. Let x = j - 42. Let d = x - -20. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -3?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62520 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + 19*i**2 - i + 1. Let h(l) = -l**3 + l - 1. Let g(t) = -h(t) - s(t). Find the third derivative of g(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*g - 2625. Let t = g - 181. What are the prime factors of t?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-20)\/24 - -1). Which is the nearest to -11? (a) 2\/3 (b) -5 (c) -0.01 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = -5*r, r + r = 4*o - 38. Let s = 12 - o. Let u be (2 + -1)*(-6 + 2). Sort s, u, 1.\nAnswer: u, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/10 + -9)\/(3\/39)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.63 + 7.63. Let s = -0.7 - 3.3. What is the nearest to 2 in n, s, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15486 divided by -15486\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1426*z + 960*z - 126458 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*t*w - 4*a**2 - 23*a*w - 932*t*w wrt a?\nAnswer: 2*a*t*w - 8*a - 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 5.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13044377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -186, 6, 378, 990, 1902?\nAnswer: 3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 29. Let s(w) = -w**3 + 15*w**2 - 8*w + 28. Let f be s(b). Suppose 358 = 5*i - f. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44573036 to the power of 1\/2, to the nearest integer?\nAnswer: 6676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 325 or 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 24*i + 804. What is y(-19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -85*c + 1233. What are the prime factors of q(-14)?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133) + (sqrt(133) - sqrt(133)*-3)*-1))\/(sqrt(1050)\/sqrt(6) - sqrt(7)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 971 + -973. What is the closest to 5 in -2\/15, -7, -3, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66864579083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -23 - -26) + 20?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1910*w - 1373. What is the thousands digit of o(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608004 divided by 6?\nAnswer: 601334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2754064 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0169 * -271\nAnswer: 4.5799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -282 - -3?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*-3 + (-528)\/(-40))*5.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31240 rounded to the nearest one hundred?\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/592 + 435\/592. Let r(q) be the first derivative of -11 - f*q**4 - 3\/2*q**2 + 0*q - 2*q**3. Determine a, given that r(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 1 = 3*p - 5*p, 5*p + 3*q = -0*q + 34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 - -b5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.79 - -0.21. What is the nearest to 2\/7 in -2\/3, -2, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-485)\/(-194)*((-32)\/30 + 1)*117852\/(-427)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*f + 13 + 35 = -146*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 11*q**2 + 4*q + 2. Let b be f(11). Let y = -28 + b. Calculate the greatest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -34335*z + 515028. Determine q(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25446, 25419, 25342, 25191, 24942, 24571?\nAnswer: 24054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004861439 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 108. Let d be 666\/8 - 6\/24. Let x = 92 - d. Calculate the highest common factor of c and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1403*u**3 - 1253*u - 4384033?\nAnswer: 4209*u**2 - 1253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -538348, -1076689, -1615024, -2153353, -2691676, -3229993, -3768304?\nAnswer: -4306609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 5*o = -65, -2*g - 3*o = -41. Suppose -2*b = -2 - g. What is the highest common factor of 72 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 7*v + 3. Let k be b(-5). Let t be (1 + -1)*k\/14. Let a = 5.6 + -5. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**(3\/2)*b\/(b**6*b))\/(b**(2\/11)*(b\/(b*b**(-4)*b))\/b))**(4\/37))**(-4\/21) assuming b is positive.\nAnswer: b**(216\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 103 - 2*a**2 - 3*a)*(3 - 1 - 1).\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:23 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = z + 3*w, -4*w = 20 - 40. What is z rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -3 - 9\/(-3). Suppose -2*u - 265 = -c - a*c, 0 = -2*c - 2*u + 180. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -2\/9 (c) -0.3 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w + 1. Let i(d) = -16*d**5 + 38*d**4 + 5*d**3 - 374*d**2 + 10*d - 6. Let a(r) = -i(r) - 5*p(r). What is the third derivative of a(m) wrt m?\nAnswer: 960*m**2 - 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.3, 12, 936 in decreasing order.\nAnswer: 936, 12, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 484 = 23*p. What is p rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*15\/(-6))\/(49*10\/8036).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 8*h**2 + 2*h - 23. Let m be s(-6). Which is bigger: m or 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 1.5. Let b = -39 - -34. Sort r, b, -0.2.\nAnswer: b, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = -0*h - v, 2*h = 5*v + 16. What is the second derivative of h*i - 6*i**5 + i**5 + 3*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.8, 2, 2.02, -3.9, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -609 + 929. Suppose -233 = -3*f + u + v, 2*f + u - 362 = 0. What is the remainder when f is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622150 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -535109 + 21407679\/40. Let r = f + -448\/5. What is the common denominator of r and -83\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(7 - 2 - 3)*(2 - 2 + z)*(3 + 2 - 3) + 4*z - 2*z + 0*z + (2*z + 2 - 2)*(2 - 1 + 6).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(88)*1)\/sqrt(11)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.62 - 2.12. Let x = -62 - -32. Let s = x - -29. Is t >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.0028 (b) -5\/2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p. Let i be (-15)\/(-2)*(3 - 21\/9). Let s(j) = -i*j**2 - 21*j**2 + 7*j**2 - 30*j**2. Determine b(s(t)).\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-11)\/(u**(-2\/3)*u)**(-5\/3)*u**(-2\/3)*u**1\/u*u\/(u*u**(1\/12))*u**3 assuming u is positive.\nAnswer: u**(233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/16 + -5 - ((-68)\/16 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150647705 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4501 - 4504. Suppose -5*m + 4*m = -21. Suppose 0 = 2*l + 6, 0 = 3*w - 2*l - m + 6. Sort w, y, 4.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n**2 - 32*n + 5. Let h be m(3). Let a be -4 - 3 - (h + (-4 - -2)). Sort a, -7, -1 in decreasing order.\nAnswer: -1, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/((-3)\/(-18)). Let a be ((-78)\/65)\/(2\/5). What is the nearest to a in -2, h, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10*((-26)\/(-39))\/(5\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 621 - 581. Let f(i) = -5*i + 40 - 6*i - k + 7*i. Let w(y) = -42*y**2. Determine f(w(n)).\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 9 = -54. Suppose -c*i + 8196 = -2*i - 3*b, i = 4*b + 2735. Suppose 5*t = -3*s + 4098, -2*s + 4*s + 3*t - i = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173796*i**4 + i**3 - 77302?\nAnswer: -695184*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.03, 2, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 13*q + 30. Let d be t(24). Suppose -17*x = -31*x + d. Is x > 108\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times 0.06?\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*4\/((-16)\/(-6)))\/(-5). Let d = -39.5 + 40. Let m be ((-18)\/(-32))\/(3\/4). Put -0.02, m, p, d in decreasing order.\nAnswer: m, p, d, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56208 (base 11) to base 4.\nAnswer: 103320201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -703922*j**3*x - 3*j**2*x + 57230*x wrt j?\nAnswer: -4223532*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3185 is divided by 573.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101111111001010001111 (base 2) to base 10\nAnswer: -1569423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 - 15846836*q - 79234130 = 0. Calculate q.\nAnswer: -7923413, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + (-1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8482055 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 43*k - 23*k. Let r(c) = c**2. What is r(w(t))?\nAnswer: 576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + (-6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.1663, 0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let o = -71.7 - -72. Sort z, -5, o in decreasing order.\nAnswer: z, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1074 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 + 12169*v\/8 + 6085\/4.\nAnswer: -(v - 12170)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*n**5*o - 2*n**3*o + 21*n**2*o + 225*n - o wrt n.\nAnswer: 180*n**3*o - 12*n*o + 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -18523 and -18522 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 15, -7 in increasing order.\nAnswer: -7, -3, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2381, 20315, 68993, 163787, 320069, 553211, 878585, 1311563?\nAnswer: 1867517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 17 = 3*b, 270*n - 271*n - 10 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 409130730 a multiple of 1422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 13) + -5 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(117)\/sqrt(9) + (sqrt(13) - (2 + sqrt(13) + sqrt(91)\/sqrt(7)))))**2*-6.\nAnswer: -20352 - 1536*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.110086695 rounded to 3 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 2 (c) 4\/1367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 6. Let r be n(-6). Which is the nearest to r? (a) 5 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, w: 3, a: 3}. Give prob of picking 2 w and 1 e.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24281363 rounded to the nearest one hundred thousand?\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1098.3 - 1098. Let q = 56\/13 + -54\/13. Which is the third smallest value? (a) 4 (b) q (c) s (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 11*u**2 + 145*u**3 + 12*u**2 + 5 - 3 - 2 wrt u.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13501037?\nAnswer: 11, 29, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 63 + 73 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*m**2 + 189*m**2 + 2*m + 5 - 1657*m**2 + 429*m**2 to u + z*m**2 + q*m and give z.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*f - 1471 = -25. Let m(j) = -8*j - 20. Let x(b) = -7*b - 19. Calculate f*m(h) + 7*x(h).\nAnswer: -h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from 8.4.\nAnswer: 8.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 31*n**2 + 259*n - 597. Give a(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -5. Let c = 27 + n. Solve -5*u + 4*a - 21 = 0, c*a - 5*a = 3*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w - 5. Let s(r) = 11*r - 4. Let n(d) = -4*p(d) + 5*s(d). Let i(c) be the second derivative of 0 - 1\/2*c**3 + 6*c + 0*c**2. Determine i(n(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88*13\/((-260)\/(-5975))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 22 + 72 = 0. Let g(i) = -i**2 + 13*i - 24. Let z be g(n). What is the smallest common multiple of 18 and (-2)\/z - (-825)\/45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 303\/5. Let n = -0.7 - -0.75. Let z = 1.05 - n. Is z at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innooionnonoono. What is prob of sequence in?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/5, -0.059, 0.5, 6?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 210, 317, 426, 537?\n\"Answer: r**2 + 102*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1864 + 2?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61695 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2339a - 9?\nAnswer: 23391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146430.\nAnswer: 2, 5, 114643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*v - 30. Suppose 278 = l + v*h - 340, -578 = -l + 3*h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 7\/4 (b) -1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1700) - ((sqrt(187)*-2 - sqrt(187))\/sqrt(11))**2.\nAnswer: -153 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -10195.\nAnswer: -57\/10195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -82146, 0.5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/28833 and 7\/2339592.\nAnswer: 16377144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*c - 19, 2*c - 357*d - 14 = -355*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 5*y - 7*y - y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209 + (5*2\/10 - 0)?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -46*a**2. Let n(k) be the first derivative of 412*k**3\/3 + 5414. Calculate p(n(x)).\nAnswer: -7808224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-10))\/(88\/(-13865500)). What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 175 = 885. Let r be (-1*2)\/(-8) - (-570)\/(-8). Let x = r + z. Solve -5*y + 4*q = -12, -6 = 2*q - x*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njw when three letters picked without replacement from {o: 6, j: 2, n: 2, w: 3, r: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54800894 and 1222738.\nAnswer: 602809834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.9281 milliseconds in nanoseconds?\nAnswer: 444928100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 10. Let r be d(-4). Let y(m) = 4*m**2 - 3*m. Let n(g) = -9*g**2 + 7*g. Give r*y(b) + 6*n(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 171, 381, 675, 1053, 1515?\nAnswer: 2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)*1 + sqrt(84) + sqrt(84)) - sqrt(84))\/sqrt(12).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28396 is divided by 892?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*y**2 - 28839*g**2 + 6*g*y - 3*g - 13*y**2 + 2*y + 33 wrt g.\nAnswer: 6*g*y**2 - 57678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*d - 3545 - 830 = 4045 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122011 - -1?\nAnswer: 122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 27*r**2 - 1995*r - 2250 = 0.\nAnswer: -10\/9, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 2 a when four letters picked without replacement from dtavdsaivttvtaavsaa.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 7*v - 23. Let c(w) = -4*w - 22. Calculate 3*c(u) - 2*x(u).\nAnswer: -6*u**2 + 2*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by -34.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 54 = -3*g, 6*g - 3*g = 4*l + 30. Suppose -77 = -m + 4*x - 1, x - 163 = -3*m. Calculate the greatest common divisor of m and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10820209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*2 + 0 + 2 + (-1*sqrt(3) - sqrt(3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*p - 1 = 0, 3*w + 0*p = 5*p + 17. Let x be ((-4)\/(-3) + -2)*-3. What is the remainder when w is divided by 5 + 6\/(-3) + x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -27*d + 19925. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {b: 1, x: 3, j: 6, h: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 8. Suppose 11 - p = 3*k. Let y = 27 - 11. Which is the second smallest value? (a) 0.3 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -694 + 2068. List the prime factors of r.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-18)\/(-24)*-1 - (-4)\/((-48)\/(-82257))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**4 - 2*q**3 + q**2 + 2*q + 3. Let r(w) = w + 0*w**4 - w**3 + 1 - w**4 - 2*w**4 + 4*w**4. Let x(b) = f(b) - 3*r(b). Factor x(s).\nAnswer: -s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 3*u + 0*u**2 + u**3 + 4*u - 1 + 6*u**2. Let k be w(-5). Suppose 15 = f + k*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*k + 7, a - 77*k = -72*k - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j - 4)*(-8 + 0 + 3)*(2 - 2 + j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73830562.4371 - 73825251. Let r = j + -5312. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 1. Suppose 0 = -5*m + 4 + 1. Let q be t(m). Solve 5*a = a + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2745498167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/5 - 596*x**2\/5 - 56386*x\/5 - 1639792\/5 = 0.\nAnswer: -121, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q. Suppose 3*j - 2 = -2*g + 61, 0 = j - 5*g - 38. Let p(b) = j*b - 12*b - 18*b. Give s(p(w)).\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473978505.\nAnswer: 3, 5, 7, 11, 13, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2680 = 2*w + 4*r, 9*w - 4004 = 6*w - 2*r. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -1 - (-7 + -61 - -59).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19121832 to the nearest integer?\nAnswer: 4373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*h, -4*h = 4*a + 8 + 8. Let y = -9.869 - 0.031. Let q = -10 - y. What is the closest to h in 4, q, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323138631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-7))\/(3*3\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alpen. Give prob of picking 1 l and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/19364 and -7\/82.\nAnswer: 793924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 42\/(-4)*(-4 + -4)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let k = 6 + -10. Let f = x - k. Sort -2, f, 0.2.\nAnswer: -2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 - 7)\/32)\/(1938\/(-272))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.98 + 0.02. Let x = -3470 - -3476. Put u, -0.1, x in increasing order.\nAnswer: -0.1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*d + 21 = 0, -3*d + 6 = -9. Suppose -25*a - 72 = 11*a. What is the least common multiple of 2*(a + z\/(-32))*-4 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1464 (base 8) to base 4.\nAnswer: 30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from ffnnffffffffnffnffn.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*u - 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 7*m**4\/24 + 2*m**3\/3 - m**2. Let f be ((-9)\/(-6))\/(27\/90). Does 13 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11928*m + 417515. Determine v(35).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n + 3\/2*n**4 - 45 - 1\/3*n**6 - 6\/5*n**5 + 14\/3*n**3 - 6*n**2. Solve v(g) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -20*s + 685. What is the units digit of x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1740)\/(-144))\/29)\/(26\/(-39)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.089 > -65\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5049057347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 42*l + 453. Give p(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3 = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + -16 + 15 + -1 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/7, -37 in descending order.\nAnswer: 1\/3, 2\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*2 + -1. Let h be (-14)\/(-77) - ((-72)\/(-33) + -2). Solve 0 = o*r - h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {f: 7, i: 2, a: 3}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 21.6. Let x = -0.01291 - -3.01291. What is the nearest to -3 in x, 0.1, f, 5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -314.2956401 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:52 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/777*44\/(-8) and -133\/18?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10892 and -16690.\nAnswer: -27582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 466792466.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -331, -664, -997, -1330, -1663?\n\"Answer: -333*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:10 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q + 3*q - 11*q. Let h(w) be the third derivative of -w**4\/3 - 13*w**2 + 50. Calculate k(h(o)).\nAnswer: 136*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + c + 57. Let o be h(14). Let k = o + 908. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010103 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 k when four letters picked without replacement from {m: 2, k: 5, z: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10707*g**2*s**3 + 7*g**2*s*y**3 + 14*g*s**3*y**3 - 2*g*s**3*y**2 + 209*g*y**2 wrt g.\nAnswer: 21414*s**3 + 14*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 880\/10*(3 + -1 + 11)*(-1110)\/(-26455)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 28 = 5*p + 2 - 6, -32*p + 230 = 2*f for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -s, 9*g = -3*s + 13*g - 14. Let x(o) = 40*o - 7. Let n(j) = -13*j + 2. Give s*x(u) + 7*n(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 2*x - 1. Let o be (-20)\/(-9) + (308\/99)\/(-14). What is v(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 3, 2, 5, 12 in descending order.\nAnswer: 12, 5, 3, 2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(3\/4)*n))\/n)\/n**(1\/9))\/((n\/(n*n**(-1\/2)))\/(n*n\/n**8)))**(-8\/11) assuming n is positive.\nAnswer: n**(602\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749953634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (245\/70)\/(1\/2). Suppose r*p - 73 = -94. Which is the third biggest value? (a) 10 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5617 - 6*d**2 + 4*d**2 - 5617. Let u(l) = 2093*l**2. Calculate f(u(j)).\nAnswer: -8761298*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 438835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 14*g**2 + 2*g + 10. Let i be f(11). Is 0 + -2 + 1 + 1 - i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k + 4. Let i(m) = m**2 - 3*m - 5. Let w be i(5). What is the units digit of h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 30.1. Which is the closest to 0? (a) 1\/11 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 16*x - 12. Let u be y(10). Suppose 2*v = v + n + u, 124 = 2*v + 5*n. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110204 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(2\/3)*i**6*((i**1\/i)\/i)\/i*i*i\/(i\/i**3*i)*i*i*i*i*i**(-2\/7)*i**3*((i**(-1)*i)\/i*i)**(-50) assuming i is positive.\nAnswer: i**(316\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/(-7) - (-9)\/7). Sort 8, 2, -3, k in ascending order.\nAnswer: -3, k, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -195.\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 - 5 - f + 1 + 4.\nAnswer: 12*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -3\/10 (c) 13 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1231200, 1231198, 1231196, 1231194, 1231192, 1231190?\nAnswer: 1231188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 21*o**2 + 41*o + 158. Determine a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/2520 - j**6\/240 - j**4\/12 + 2*j. Let m(x) be the third derivative of r(x). Let w be 0 + 3 - (-2)\/(-2). Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (27 - ((42 - 30) + 15))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 - (-30)\/126. Let q = -38\/81 + -16\/81. Which is the second biggest value? (a) 6.6 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -251902578 to the nearest 100000.\nAnswer: -251900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -5213481?\nAnswer: 5213481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 3*j**7\/280 + j**6\/180 + j**5\/120 + j**3\/2 - 3*j. Let g(q) be the second derivative of u(q). Give g(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159343, 318703, 478053, 637387, 796699, 955983, 1115233, 1274443?\nAnswer: 1433607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 980\/40 + -29.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7627, 15290, 22953, 30616?\nAnswer: 38279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from gttbpfm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675191093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*v - 6*v + 18*v.\nAnswer: -380*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 153.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 891911 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, -0.4, 9, 5, -13, 226.\nAnswer: -13, -0.4, 2.4, 5, 9, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -3*b. Let c(u) = u - 1. Let g(t) = -t**2 - 14*t + 3. Let v(i) = b*g(i) + 6*c(i). Find the second derivative of v(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (21 - 60 - -3) + -15\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (0 - 4) + 22 + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**4 + 2133498*m**3 - 52790*m + 437.\nAnswer: -108*m**2 + 12800988*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*o + 3*w, -8926*w = -3*o - 8931*w - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*o*q**2 + c**2 + 62*c*o*q**2 - 12*o*q**2 + o + 2*q**2 wrt c.\nAnswer: -2*c*o*q**2 + 2*c + 62*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 + 4 - 4 + (-8*y + 0*y + 0*y)*(-4*y + 4*y - 2*y**3) to the form f*y**4 + v*y + q*y**3 + m*y**2 + p and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s - s**3 - 2*s**2 - 3*s**2 + 2*s - 1. Let h be q(-4). Differentiate 1 + 0*i**3 + 2*i**h - 3 with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7917121ug?\nAnswer: 791.7121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1.1, -1\/3, 25, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27c0 (base 13) to base 11.\nAnswer: -4342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/151, -0.1, -1\/5, 3.\nAnswer: -1\/5, -0.1, -2\/151, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/8, 434, 10\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*z - 21 = 0. Let l(v) = -2*v + z*v - 2*v - 1 + 3*v. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 4*c + 5. Suppose 4*t - 3*g - 28 = 0, 12 = -g - 2*g. What is the remainder when v(-3) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 - 21305*u**3\/6 + 21301*u**2 - 127798*u\/3 + 85196\/3.\nAnswer: (u - 21299)*(u - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (16\/2 - 2). Let r be 1\/(-4) - (-90)\/40. What is the greatest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175543 is divided by 25023.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3 - 2*c + 2*c - 2*c**2 + 0*c**2 + c. What is the derivative of m(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -82 + 91 - (-15)\/(-2). Let t(a) be the first derivative of 1\/3*a**3 - 2*a - 5 + l*a**2. Let n(d) = 2*d**2 + 7*d - 4. Determine 4*n(u) - 9*t(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**3 - g**2 - 5*g + 7. Let z be x(1). Which is the nearest to -0.3? (a) -3\/2 (b) 2 (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 15 + 1117524747*n - 1117524747*n.\nAnswer: -2*n**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r + 12, -2*n = 5*r - 239. Calculate the remainder when n is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -388957.1 to the nearest 1000.\nAnswer: -389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82414 is divided by 509.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from asmaasalasalas.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:26 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 - 2\/(-4). Let s be 2 - 176\/(-2 + b). What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let k(a) = a. Let q(l) = 8*k(l) + 3*v(l). Let o(n) = -21*n. Determine 2*o(p) + 22*q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35712435*g**2 + 305*g - 37407 wrt g?\nAnswer: 71424870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*p**4 + 116*p**4 - 50*p**4 - 80 - 2*p**3 to the form h*p**2 + z*p**4 + g + b*p**3 + f*p and give g.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-132)\/(-440)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -41*q + 561. Let f(x) = 480*x - 6730. Calculate -3*f(d) - 35*k(d).\nAnswer: -5*d + 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 987121876 divided by 4?\nAnswer: 246780469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.4 + -8. Put -1\/5, t, -2 in descending order.\nAnswer: t, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2 - 2*b**2 - b + 7 + 3*b**2. Is m(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60854 - -87770. List the prime factors of w.\nAnswer: 2, 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -168?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 6)*(0 - -1). Suppose -5*s = -25, 0 = 4*h + h - q*s + 15. Suppose w - 4*w + 9 = h. Solve w*c + 2 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**4 - 35*p**3 + 75*p**2 - 63*p + 18. Let n(u) = 5*u**4 - 35*u**3 + 75*u**2 - 62*u + 17. Let q(y) = -3*d(y) + 2*n(y). Factor q(t).\nAnswer: -5*(t - 4)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 2*t + (3 + 0 - 4)*(14*t + 7*t - 8*t) + 14*t + 15 - 15)*(t**2 + t**2 + t**2).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 23*b - 5*s - 2*s - 30 = 0, 0 = 4*b - 4*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 16*t - 18, -t + 9243*s = 9246*s - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326*i = 1322*i + 27560. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 22946\/2303)\/(6\/(-27)). Let o = -1\/47 + a. Determine y, given that 2\/7*y + 1\/7*y**2 - o*y**4 - 2\/7*y**3 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -21*p**4\/4 - 17*p**2\/2 + 4. What is the second derivative of l(o) wrt o?\nAnswer: -126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p - 12*p + 71643. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:29 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24274 = -77*w + 23196 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q - q - 2*q - 3 + 3 + (3 - 7 + 3)*(0*q - q + 3*q))*(2*q - q - 5 - 13).\nAnswer: -6*q**2 + 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262061 is divided by 256069?\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**3 - 2*d**3 + 0*d**3 + (5*d**2 - 4*d**2 + d**2)*(-1 + 4*d - 6*d + 4*d) as c*d**2 + w*d + p + b*d**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 + 67*x**4 + 2*x**2 + 1893*x wrt x?\nAnswer: -480*x**3 + 1608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-27)*(1566\/(-72))\/(-87)*117\/(-3)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (780\/975)\/(-1*2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -515 or -503?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169\/1085 - 2\/155. Which is the closest to -2\/3? (a) p (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let j = 7 - d. Solve j*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39288888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/1800 + h**4\/120 - 7*h**3\/3 + 6. Let o(v) be the third derivative of t(v). Solve o(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.24 (b) -1\/100 (c) 2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 7*c**6\/150 - 1363*c**5\/75 - 2981*c**4\/15 - 3184*c**3\/15 + 17*c**2 + 93*c. Suppose n(t) = 0. Calculate t.\nAnswer: -4, -2\/7, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155\/28 or 5?\nAnswer: 155\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*o*y - 86936*o + 65*y wrt y?\nAnswer: -27*o + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) - (-35)\/14. Suppose -v - v + 12 = -2*i, 0 = -z*i - 16. Solve -4*j - 2 = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7750.1 + -7750. Let j = 53.63 - -1.37. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -48. What is the nearest to 1 in -3, -0.07, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 835639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y - 1. Let f be d(2). Suppose -214 = -3*c + 4*a, f = -5*a - 0. Suppose -4*j = 5*m - 45, -5*m = 2*j - 3*j - c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*w + 592 + 138 = 0, 0 = -4*m - w + 982. Suppose 2*f + m = 8*f. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose 0 = -2*z - 6*z - 24. What is the second biggest value in o, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/((-3)\/2 + 0). Suppose -u - 2*u = -v. What is the third derivative of -2*h**4 - u*h**2 + 3*h**2 + 5*h**4 - 5*h**4 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0497126 or -0.1?\nAnswer: 0.0497126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 721, -280, -1947, -4280, -7279, -10944, -15275?\n\"Answer: -333*f**2 - 2*f + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 l when four letters picked without replacement from udlldlduddldu?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9165742248995.3 - -1\nAnswer: -9165742248994.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -37. What is the closest to -1 in y, -6\/11, 5\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 598 - 324. Suppose 8*t - h = 310. Calculate the remainder when t is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -633\/4? (a) 460\/11 (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/228 and -41\/34200.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 - 32*u + 66. Let k be t(5). What is the second biggest value in k, 2, 5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6200 is divided by 1240.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24443003 - 313?\nAnswer: 24442140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:18 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-2)\/((-4)\/(-5)). Suppose -14*g + 60 = -17*g. Let v be 38\/(-209) - g\/(-66)*6. Put 2, v, r in decreasing order.\nAnswer: 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 4*n**2 - 30*n + 11. List the prime factors of a(4).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2, -4, 1 in decreasing order.\nAnswer: 1, -2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -1, -8\/5, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 7, m: 5}. Give prob of picking 3 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 1851*f - 41*f**2 + 46*f**2 to the form o*f**2 + w*f + q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:55 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 + -7 + -1)\/((-4)\/(-2)). Suppose 0 = -j*v + 6*v - 21. Solve 5*t - v*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 42033101 >= 42033106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -160*g**2 + 3*g - 3. Let t be k(1). Calculate the common denominator of -83\/6 and (-48)\/t*(-178)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by 3.\nAnswer: 476\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 0*p**2 - 1\/27*p**3 + 1\/27*p**4 - p - 1\/90*p**5. Find w such that c(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 4*h + 7. Let f be h\/4*(-6)\/(-24) + 0. Is f at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 5*l - f, -l + 4*f + 59 = -f. Let z = -46 + l. Solve c = -z + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 411 - 212. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(153) - (-2*sqrt(153) + sqrt(153) + sqrt(153))))\/(sqrt(12)*1))\/((sqrt(210)\/(sqrt(35)\/sqrt(5)))\/(-1*sqrt(10)*-4)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -189\/21880?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**12)\/q*q**(-5))**(10\/7))**(7\/4) assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136369 = 591*d + 3808*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -4)*10\/4. Let u = 15 - 10. Let n(l) = -u + 5*l - 1 - l**2 + 1. Calculate n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328117257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660\/17 + -5297\/136. What is the third biggest value in 0.2, -6, -1\/3, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - (4 - -3))*(-2)\/(-4). Let a(o) = -o + 1. Determine a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/998778 and -47\/4908.\nAnswer: 1997556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -11. Let t = -27 + v. Let a(w) be the second derivative of -7*w**3\/6 + 3*w**2\/2 - w. Let d(q) = -3*q + 1. Give t*d(b) + 4*a(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -218*l. Let w(h) = 5*h + 3. Let f(a) = 8*a + 5. Let y(u) = 3*f(u) - 5*w(u). Give o(y(i)).\nAnswer: 218*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/(-7590)*-66*-20*1\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 + 81. Let n = -55 - x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1558950291 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 295. Let o(d) = -2*d + 867. Determine -22*h(p) - 8*o(p).\nAnswer: -6*p - 446","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - h**5 + 5*h**5 + (4 - 9 - 3)*(5 - 3 + 0 + (-3 - 2 + 4)*(-3 + 1 + 1))*(3*h**5 + 15*h - 15*h) - 2*h**5 + 3*h**5 + 3*h**5.\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -n - 11, -4*q + 57 = 3*n - q. Let j(l) = 2*l - 19. Let u be j(n). Calculate the greatest common factor of u and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325.22 - 334. Let y = -8.78002216 - a. What is y rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 2\/6. Let r(c) = c**3 + 4*c**2 + 3*c + 2. Let j be r(-3). Suppose -45 = -b - j*i, -5*b = -w*i + 3*i - 204. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 - 134. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 557?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*m**5 + 11*m**2 - 8*m.\nAnswer: 5340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -440.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3012 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-980))\/((-4)\/32*1*3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.84 + -29.84. What is the third biggest value in -51\/5, 4\/5, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbeevevvvebvvv. Give prob of sequence vvb.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 26. Let v be l(13). Let q(u) = 86*u + u**2 - 17 - 44*u - v*u. What are the prime factors of q(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 159730 = -106*x + 304067. Is x a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 14 + (-10 - -15) - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -43*x**2. Let t(o) = -4*o + 948. What is t(s(q))?\nAnswer: 172*q**2 + 948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 57 = 0, 3*c + 11*w + 513 - 483 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 = 2*v, -31*v + 5*m - 11 = -30*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 304\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29039 - 0.299262. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:35 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1365 + -1361. Solve j*s + 12 = 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z + 19. Let h be f(1). What is the third derivative of 34*x**2 - 234*x**h + 3*x**4 + 2*x**4 + 211*x**5 - 203*x**5 wrt x?\nAnswer: 480*x**2 + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/18 - 4\/(-18). Let b = 22 + -21. Which is bigger: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -48257.\nAnswer: -48259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 4 + 2*h + 4. Let j(a) = a + 1. Let i be j(2). Let f(b) = -b**2 + 6*b**2 - i*b**2. What is v(f(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17744.581 and -0.2?\nAnswer: 3548.9162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) 102208 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -t + 5, -2*t = -0*n - 4*n + 22. Suppose n*c - 5*c + 7 = 0. Suppose 1 = -3*k + c, -4*v + 2902 = 5*k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 12, 2*p + 1 = -p - 4*g. Suppose -4*d + 64 = -0*d. Let u be 20\/16 + 12\/d. Solve -3 = h + u*z, -18 = 4*h + p*z - 3*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 875*b + 6452. What is f(-8)?\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1653566235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887726 to the power of 1\/2, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(351) + (sqrt(351) - sqrt(351)*2))\/sqrt(9))\/(sqrt(18)\/(-2*sqrt(6))))**2*2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 1110, 2577, 4610, 7197?\nAnswer: 10326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.77298 months to years.\nAnswer: 9.564415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrsrgmrsssmrr. What is prob of sequence sg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 8. Suppose -2*k - 78 = -8*k. Let g be w(k). Let s(a) = 56*a. Let o be s(3). What is the highest common factor of g and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16155688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75\/8, -2\/35, -205.71 in decreasing order.\nAnswer: -2\/35, -75\/8, -205.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-428)\/16 - -11).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 22*j**2 + 6. What is r(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 678*n**2\/5 + 4006*n\/5 - 666.\nAnswer: 2*(n - 333)*(n - 5)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2080\/(-60)*(-30)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 51548*z**2 + 103110*z. What is j(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-35)*n**(-2\/11)*n**(2\/11) assuming n is positive.\nAnswer: n**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -629129\/9 - -70007. Let h = y - 104. Let m be (42 - 41)\/(10\/(-4)). Which is the nearest to 2? (a) h (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 11:13 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -310\/13. Suppose 6 = 60*v - 63*v - 7*x, -8 = 4*v + 5*x. What is the second biggest value in -2\/3, v, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -10)*(-4)\/6. Let w be b\/(-3) + 60\/(-9). Is 1\/(-2) - 285\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 18 = 2*d, -4*d = 3*z - 3*d + 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -159, -7\/3, -5\/2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735 - 27 + 6*l + 326 + 118 to the form x + y*l and give x.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 156781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4844 + 6.4844. What is the second smallest value in -3, -0.2, q, 133, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:48 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569 is divided by 144.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)*(-1116)\/12. Let h = u + -39. Let z = h - 11. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 5*c - 7*c + 0*c - 4*c.\nAnswer: -6*c - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -40, 3, -4, -42, -16 in decreasing order.\nAnswer: 4, 3, -4, -16, -40, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*s**3 - 1308*s**3 + 82*s**3 + s)*(0*s + s + 0*s).\nAnswer: -1191*s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**3 + 5*x**2 + 5*x - 13. Let b(t) = -7 + t**2 + 14 - 8 + t. Let u(g) = -5*b(g) + q(g). Differentiate u(v) with respect to v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)\/(u*u\/(u\/((u*u*u*u**(1\/7)*u)\/u))) assuming u is positive.\nAnswer: u**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 3, 2\/1783, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 2*a**2 - 5*a - 3. Let r(v) = v**3 - v - 1. Give -q(z) + 3*r(z).\nAnswer: 7*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16370 and 9.5.\nAnswer: -16360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96609.51ms in days?\nAnswer: 0.001118165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -22*j - 81. Determine n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 282.69+593.003\nAnswer: 875.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -i - 3*a, 0 = 5*i + 3*a - 27. Suppose -34 = -22*b + 32. What is the derivative of -4*z**b + i*z**3 - z**4 - 2 - 2*z**3 wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 2*s**5 - 3*s**4 + (-75*s**3 + 121*s**3 + 44*s**3)*(-34*s**2 - s**2 + 6*s**2).\nAnswer: -2608*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5322441?\nAnswer: 3, 1063, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*r**2 - 9*r**3 + 45*r**2)*(-4*r + 309 + 6*r - 326 - 5*r + 3*r + 0*r - 2*r + 5*r - r + (3 + 0 - 2)*(-r + 0 + 0)).\nAnswer: -9*r**4 + 153*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*m + 140 = 0, 3*m - 136 = -0*j - 5*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185533 is divided by 7722.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 != 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48636*p - 48634*p = -30 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85420 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19092 - -19092.078665. What is d rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -17. Which is the fourth smallest value? (a) 1\/3 (b) -5 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 506989691733.00001371 + -506989688631. Let z = v + -3102. What is z rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 1 + 36\/6 + 3 + -5. Let l = -18 + 17.6. Put v, -2, l in increasing order.\nAnswer: -2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/2 - 2*v**2 + 3*v. Suppose -4*p = -19 - 5. Suppose -2*f = -p*f + 12. Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.51 - -3.51. What is the smallest value in 0.03, 0, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + p = 13, 4*p - 3 - 19 = -3*s. What is the derivative of s*q + 134 + 7*q**2 - 7*q - 5*q**2 + 6*q + 19*q wrt q?\nAnswer: 4*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2 + 5 + (4*sqrt(1296))\/sqrt(8))**2.\nAnswer: 240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*x - 32 = 0, -2*q + 4*x = -3 + 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*57\/76. Which is the nearest to s? (a) -4 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -22, 70, 288, 674, 1270?\n\"Answer: 7*f**3 - 41*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 19\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p = -10, -2*t - 3*t + 20 = -5*p. Let k = -4 - -22\/5. Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 15*m - 6. Let z(k) = -7*k**3 - 4*k**2 + 5*k - 1. Let c be z(1). Let t be a(c). Suppose -172 = -8*u + t. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -10404\nAnswer: 10403.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*x - 110, -3*n + 82 = -8*n + 2*x. Let q be n\/(-9) - (0 - 2). Solve 5 = -q*k - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 + 375482*v**3 - 70492239707*v**2 - 422963576310*v - 1268900867025\/2.\nAnswer: -(v - 375485)**2*(v + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.55 - -0.55. Let m = 5 - 9. Which is the smallest value? (a) m (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - q - 17. Let z = -181 - -175. Is 12 a factor of x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/295*(840\/36)\/(9\/3)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 - 0) + 15. Let s = o + -15. Let a(i) = -i + 6. Let x(v) = 1. Let u(b) = s*a(b) - 6*x(b). Let f(j) = 7*j**2. Determine u(f(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*c + 136*c - c**2 - 289*c - 94 in the form p*c + z + g*c**2 and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(0 + sqrt(19)) + sqrt(209)\/(sqrt(22)\/sqrt(2)) + 2 + 5)**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(8) + -1 + 1*sqrt(11)*3.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54014 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3272, 3531, 3786, 4037?\n\"Answer: -2*f**2 + 265*f + 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -530\/7 - -486\/7. Let w = -3\/19 + -61\/95. What is the common denominator of o and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 4026*z - 140352 = 0. Calculate z.\nAnswer: -34, 1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 + 22 - 42*x**3 + 25 + 36*x**3 wrt x.\nAnswer: -18*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccca when four letters picked without replacement from cdbahvcaabaachahhhda?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509, 1064, 1619, 2174?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18 and 66859838655.\nAnswer: 66859838673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/((-105)\/(-350))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 12*q. Give r(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99809081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/1005895 and 117\/9729748.\nAnswer: 535136140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -254779\/558 + -1651\/62. Let v = 1457\/3 + h. Let 2\/9*l**5 - 8\/3*l + v*l**3 - 16\/9 + 4\/3*l**4 + 4\/9*l**2 = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -104.7 (c) 0.4 (d) -0.1 (e) 739 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 13*z**2 - 13*z - 3. Suppose -9*p = -6*p - 42. List the prime factors of j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -331*i + 1621. Determine v(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 75. Give v(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*s - 95*s + 238*s - 90*s.\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**4\/7 - 592*k**3\/7 + 1352*k**2\/7 + 56656*k\/7 - 57420\/7 = 0.\nAnswer: -9, 1, 11, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -2)*10\/25. Suppose -3*a + 5*k + 61 = 0, -3*k = l*k - 20. Sort a, 5, 1.\nAnswer: 1, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4967 - -4967. Solve -14*g + 9 - 93 = i for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -20*w + 43*w - 20*w, 4*w + 45 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12303*p + 73805. What is j(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iijd when four letters picked without replacement from djidjiii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.8? (a) -2\/3 (b) -0.5 (c) -72 (d) 5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530.1 + 499. Let g = p + 31. Let n = 5 + -2. Which is the closest to g? (a) 0.4 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from pqpqpqqqppqpqp.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1026*q**2 - 323*q. Let k(t) = -19*t**2 - 6*t. Let c(n) = -6*f(n) + 323*k(n). Let i(y) = -y**3 - y + 1. Let p be i(0). Does 19 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-33) - 24\/(-132)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let i(t) = -11*t**3 + 6*t**2 + 2*t + 13. Let a(k) = 6*k**3 - 3*k**2 - k - 7. Let d(v) = -5*a(v) - 3*i(v). Is d(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/24)\/(t**(-18)*t))**21 assuming t is positive.\nAnswer: t**(2863\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206206?\nAnswer: 2, 7, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d**3*p*r**3 + 214*d**3*r**3 - 52*d**3 + 2*d**2*p*r**3 + d**2*r + 1690551*p*r**3 wrt d?\nAnswer: 72*p*r**3 + 1284*r**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*c + 11710 = 346*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*v - 62 = 0, 2*u - 4*v = -0*v + 66. Suppose 88 = 4*p - t, -u = -3*p - 5*t + 25. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7633232.\nAnswer: -2289969.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1126 and 95\/55174.\nAnswer: 55174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 185614*s + 185615*s - 121 = 0, -4*t - 4*s - 16 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*q + 374492 - 375090 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 4*w - 6*w)*(2*w**2 - 2*w + 2*w) + w**3 + 2*w**3 - 2*w**3 + 8*w - 103*w - 6*w**3 + 5 + 74*w.\nAnswer: 3*w**3 - 21*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*5)\/((72*(-96)\/(-27648))\/((-3)\/(-10)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/39513 (b) -1\/5 (c) -1 (d) -14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.1 + -102. Which is the closest to 7? (a) -0.4 (b) u (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 71.04 and 157517616?\nAnswer: 157517544.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -15 + 28 + 11 + -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13705 - 542?\nAnswer: -14447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 5. Let h be l(5). Suppose -h = -7*b + 3*b. Suppose -2*y - b = 3*y. Let z(g) = 11*g. What is z(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -q - 286, -2*o + 12 + 284 = -q. Let y(l) = -l - 148. Let b be y(0). Let n = b - q. Is 36 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/239 (b) 1 (c) 48 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 4. Find the common denominator of 9\/20 and ((-995)\/100 - r) + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 4, u: 2}. Give prob of picking 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/13 + 9401\/1170. Find the common denominator of -22\/3 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 + 224.99838. Round p to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88718746?\nAnswer: 2, 44359373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*f - 2*c + 5846, 2*c + 10 = 0. What are the prime factors of (-2)\/14 - f\/(-7)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 25*b + 0 - 3 in the form q*b + c and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -206, -5.\nAnswer: -206, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/423569 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-879*d**3 - 903*d**3 + 1393*d**3 + (-4*d**2 + 3*d**2 + 0*d**2)*(2*d + 3*d - 3*d))*(-4 - 2 - 2) to the form u*d**2 + g*d + a*d**3 + b and give a.\nAnswer: 3128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v**2 - 2*v + 1. Suppose -4*w + 5*n - 2*n = -4, 0 = -2*w - 5*n + 2. Determine g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80278120 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**6\/2 + 17*s**4\/12 + 19*s. What is the third derivative of a(m) wrt m?\nAnswer: 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 6) to base 12\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 123008*v**5\/9 - 131371552*v**4\/9 - 665375402*v**3\/3 - 3479750648*v**2\/9 - 27965174*v\/9 - 18772\/3 = 0. Calculate v.\nAnswer: -13, -2, -1\/248, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7693348776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Suppose -3*u - 2*u - 4*c - 398 = 0, 314 = -4*u - c. Is 6 a factor of u\/(-10) - o\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314722 - 177?\nAnswer: 314523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473 (base 13) to base 9.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10933 and 5046?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -685735\/132 + 5195. Let w(d) be the third derivative of 0 + 1\/1155*d**7 + 0*d - 2\/33*d**3 - 1\/110*d**5 - 6*d**2 + 1\/660*d**6 - b*d**4. Factor w(x).\nAnswer: 2*(x - 2)*(x + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -20*r + 30. Let l be m(12). Let g = -19 + l. Let o = -61 - g. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010111111111 (base 2) to base 4\nAnswer: -1113333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 12*z**2 - 12*z + 14. Let k be j(10). Let y = k + 47. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -6*r + 3*r + 12025, 2*r + 5*i = 8025. Suppose -r = -9*a + 4*a - 5*t, 2*a - 4*t = 1606. What are the prime factors of a?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:25 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -51*c. Let q(j) = j**2. Give q(u(v)).\nAnswer: 2601*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -594 - -596. Suppose -3*r + z = -2*n, n + 26*r - 25 = 21*r. Suppose -9 = -5*l - d - 0*d, -2*l + 6 = d. Calculate the greatest common factor of n and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1143 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*w - 22 = 0, 2*w - 18 = 4*m - 0*w. Let z(a) = a**2 + 6*a + 26. Let t be z(m). What is the hundreds digit of (-6)\/(-33) - (-4020)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/45*(45*14\/350)\/((-8)\/5)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) -1.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -s, 3*s + g - 11 = 3. Let y be (-14)\/(-6)*(-6)\/(-2). Solve 3*n + y = -s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011001111101001 + -1000101?\nAnswer: 100111011001110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = x - 90, 4*k = 10*x - 13*x + 289. Suppose 3*s + 4*g - 8*g = 23, 5*s - 4*g - 33 = 0. What is the greatest common factor of x and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 65 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73008.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t - t)*(9*t**3 - 3*t**3 + 6*t**3) - 2*t**5 - t**5 + t**5.\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.54 and 8646.\nAnswer: 21960.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842943.\nAnswer: 3, 29, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -4) + 26 + -20 - (0 + -16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211 (base 3) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-6))\/((-138)\/7659). Is -67 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 1699*c = 1615*c + 69, p - 5*c = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40067 and 618?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -130. Solve l*c - 5 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v + 15*v - 567*v + 36*v + 510*v + 13*v.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2325)\/(-2790)*12\/2*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83515 + -145086. Suppose 4*b = -3*y + 37291, -3*b + 49721 = 4*y + 2*b. Let u = y - p. What is u rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -39892?\nAnswer: 105\/39892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 110555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17147778*k**5 + 3403*k - 1827 wrt k.\nAnswer: -342955560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:45 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34291590.\nAnswer: 2, 3, 5, 1143053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35855002301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -5, 3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28498.27 micrometers in meters?\nAnswer: 0.02849827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 + 4*w - 4. Let t be p(4). Let f(r) = 7*r + 7. Let c be -8 - 1 - (2 - 2). Let b(o) = -3*o - 3. What is c*b(j) + t*f(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*j - 6*j + 24, -5*j = -c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = -8. Suppose -p*l - 64 = 3*u, 2*u + l + 41 = -2*l. Let j = u - -115\/4. Is 0 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 12*x**2 - 4*x + 43. Determine g(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, h: 4, k: 1, n: 1}. What is prob of picking 1 b, 1 n, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -m - v, -v = -2. Find the third derivative of -o**5 + 0*o**3 + 0*o**3 - 2*o**5 - 2*o**m wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 4. Suppose -s - 3 = -4*i, 2*s + 2*i - 21 = 3. Let f = -7 - -3. Let o be -1 + f\/((-12)\/s). Let a(h) = 3*h + 13. Calculate o*a(t) + 7*y(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*z - 130, -3*z + 1 + 2 = 0. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 - 7*h**3\/6 + 4*h**2 - h. Suppose 4*o + 689 = -k, -5*k = 23 + 2. Let g = -178 - o. What is p(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 12406436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*p**5 + 3907*p**4 - p**3 + 16*p - 27626.\nAnswer: -2200*p**3 + 46884*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94548713.\nAnswer: 7, 17, 97, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (0 - 7)) + -1 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 798152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956\/2151*1*2\/8.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wib when three letters picked without replacement from {u: 2, w: 3, b: 2, k: 3, i: 4, a: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h + 756. Give f(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2655)\/48675*(-44)\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54616295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-135)\/(-10)) - 2\/3. Suppose n = -3*m - 3*m + 90. What is the greatest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a7 (base 11) to base 8\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 0*b**2 + 6*b**2)*(14*b - 14*b - 14*b**2 + (-4 - 2*b**2 + 4)*(-5 - 4 + 4)) as c*b**4 + o*b**2 + q*b**3 + a + l*b and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1596 + 2?\nAnswer: -1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-9 - -13) + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30411*p - 398*p**2 - 30407*p - 30407*p + 400*p**2 + 91225*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*j**4 + 2*b*j**2 - 114*j**5 + j**3 + 78*j**2 wrt j.\nAnswer: -24*b*j - 6840*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -39. Let u(m) = m**2 - 2*m - 17. Let y be u(k). Which is greater: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 3*p - 4, -5*k + 5 = 0. Suppose -r + p*r + 4 = 0. Differentiate 2*g**2 - 2 + 0 - r wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.61485 - 0.61485. Suppose -j - 88 = j + 3*h, 37 = -j - 5*h. Let s = 0.5 + -0.3. What is the second biggest value in j, s, -4, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.00247 - 0.75153. Are 0.2 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 555 = -203. Calculate the greatest common factor of 1200 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 46 - 41 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.822599268 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/22 + -2 + -5 + 4.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 318760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8 - c**2 - 6*c + 2*c**2 + 0*c**2. Let n be ((-3)\/5)\/(3\/(-60)*2). Calculate a(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 + 6*j - 3. Let l be (1 + 1)\/(4\/8). Let u be q(l). Let b = u - 48. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(((-24)\/(-2))\/2)*4)\/2. Put o, -34, -5, 1 in increasing order.\nAnswer: -34, -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367773 is divided by 193.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90726271?\nAnswer: 90726271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 1. Let q be b(-1). Suppose 0*l + 165 = -q*l. Let p = l + 54. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**2*z**2 - 10311*x**2*z + 2414*z**3 wrt z?\nAnswer: 6*x**2 + 14484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 8166 = 116*s - 20209. Solve 24 = -233*q + s*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12392744, -24785494, -37178244?\nAnswer: -49570994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27395654.\nAnswer: 2, 11, 13, 95789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*p - 24, -2*z = -3*z - 5*p - 16. Suppose -4*s - t = -5*s + 937, -z*t = 5*s - 4721. What are the prime factors of s?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31746)\/38480)\/(2\/10)*(-4)\/(-6).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 146723*x - 146728*x = 12, 6 = p + 2*x for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 110\/(-10) - (5467\/98 - 6\/(-28)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + -0.4. Let p = -2\/73 - -223\/146. Sort 3\/4, p, r in descending order.\nAnswer: p, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-224)\/(-7) - 2*2. Let z = u + -28. Solve z = -i + 6*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -56141524?\nAnswer: 56141532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from bwzvvkvzbwrz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3494357 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 130*s - 226*s + 152*s as p*s + g and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 5. Let s = 223 - 220. Suppose -3*f + 296 = -s*u - 73, 5*f + 4*u - 588 = 0. Calculate the remainder when f is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 132.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {i: 2, a: 3, n: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 20*c**3 + 118*c**2 + 172*c + 75.\nAnswer: -(c - 25)*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19270487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 + 8 = 0. Let y be (-6)\/(-2) + -1 + a. Suppose -4*w + y = -0*w. Is 9\/4 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-2 + sqrt(5))) + 0 + sqrt(1125)\/sqrt(9))**2.\nAnswer: 20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.0509, 46.4, 8.6?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*i**2 + 220*i**2 - 135*i**2 - 316*i**2 in the form u + a*i + g*i**2 and give g.\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*s + 3*p, 16*p - 56 = -4*s + 11*p for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4918*q - 4918*q + 27*q**2. Let j(u) = 3*u. Calculate n(j(s)).\nAnswer: 243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169326 is divided by 358.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - 0. Let u be -2 - (98653\/q + -1). Let b = u - 8227. What is the common denominator of b and 21\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165042 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -33. Let i = p + 13. What is the second smallest value in i, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2) + 24*(-1742)\/(-7020)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -0. Let l = -3 + 28. Suppose 0 = -5*r - 20, -5*v + 3*r - 3 = -l. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6006896 is divided by 1929.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 36*s**2 - 44*s + 76. Give j(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162010 and 38386.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*w**3 + w**3 - 10 + 10 + (-3*w**2 - w**2 + 2*w**2)*(-3*w + 7*w - 2*w) + 2*w**3 + 0*w**3 - w**3 + 3*w**3 + 0*w**3 - 2*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 66. Let n = u - -54. What is the least common multiple of n and 3\/2*40\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, 1, 177.\nAnswer: -5, 1, 2, 3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1969.1 - -1969. What is the nearest to -5.2 in -2, 0.4, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o - 25. Suppose -10*t + 10 = -8*t. Let z be q(t). Let i be z\/(-4)*(-16)\/(-6). What is the greatest common factor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13191 + 39532 + 2*u - 13198 - 13143.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 368.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 13676*p\/3 - 23379122\/3.\nAnswer: -2*(p - 3419)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 11*n + 11. Suppose -4*j = -4*m - j - 2, -3*m - j - 8 = 0. Let l(z) = z**2 + 5*z + 5. What is m*x(a) + 5*l(a)?\nAnswer: -a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243113 and 37402.\nAnswer: 486226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7346 and -109\/2330.\nAnswer: 8558090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.244, 5\/2, 4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 284*k + 1756. Let d be t(6). Calculate the highest common divisor of 34096 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 485 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u - 3. Let o be h(-2). Let y(t) = -3*t - 9. Let c(i) = -i + 1. Let w(f) = o*y(f) + 6*c(f). Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73959\/70 - 2115\/2. Calculate the common denominator of d and -18\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5417 and 1023?\nAnswer: 1022.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000394976 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {i: 2, a: 3, x: 2, c: 2, e: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = -1. Let k = r - -16. Suppose k*h - 194 - 86 = 0. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -4)**2 + 5 - 4*6*2*sqrt(5).\nAnswer: -96*sqrt(5) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 7 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 + 3*y**2 + y**3 - 4*y**2 + 0*y**2 - y - 599 + 311 as x + i*y + m*y**2 + z*y**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 7. Let v be i(6). Let s(h) = 18*h - 94. Let k be s(6). Does 14 divide k\/v*(-22 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.02, -1, 3\/2, -0.44?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15414 and 61026?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8863, -12417, -15973, -19531, -23091, -26653?\n\"Answer: -o**2 - 3551*o - 5311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-579*r + 579*r - 86*r**2 - 3*r**4)*(-20 - 100 - 19) in the form d + j*r**4 + t*r**3 + w*r**2 + y*r and give j.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 1637*h + 110567. Give i(-65).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20*v - 5*v + v**2 - 11*v - 5. What is the remainder when z(3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21050834 + -5?\nAnswer: -21050840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.1. Let q = -1.2518 + 1.5518. Which is the second biggest value? (a) -0.5 (b) 1\/3 (c) m (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 10 = 4*l, -2 = -2*i + l - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q + 5*q + 4*q - 9*q. Let n(k) = -430*k**2 + 142*k**2 + 146*k**2 + 149*k**2. Give n(w(p)).\nAnswer: 1008*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/39 - 2\/13. Suppose -m + 3*g + 50 = -t*g, 5*m - 138 = -3*g. Solve 5*i + 5*u = m, 0 = 2*i - 7*i + u + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109 - (-24 - -6 - -26)) + 17 - 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.67 in -0.4, 4\/3, 2\/13, 2, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737874227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1213, 1834, 2457?\nAnswer: 3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 456000 divided by 100\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -4*g + 12. Let w be 1\/g + (-222)\/(-18). What is the highest common factor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -180, -418, -752, -1182?\n\"Answer: -48*i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 4. Let b(v) = -3*v + 9 - x. Let l(k) = k. Give l(b(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4869156, -9738316, -14607478, -19476642, -24345808, -29214976, -34084146?\nAnswer: -38953318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 430, 3429, 11576, 27445, 53610, 92645, 147124?\n\"Answer: 429*g**3 - 4*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287454 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -26. Let s = -15 - -17. Let w be (-6)\/4*1\/3. Which is the closest to w? (a) -0.4 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - s. Let w be p(2). Let a(u) = 10*u**3 + u**2 + 2*u. Let f be a(w). Suppose -f = 3*m - 7*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 4) in base 10?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, -0.3, -13\/12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 55*i**2 - 444*i + 54. Calculate c(46).\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001100?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buui when four letters picked without replacement from bddbduuidsdidisiddi.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 19 + 53 = 0. Suppose a*m - 4*m = 25. Suppose t - 4*w + 34453 = -12551, -m*w = -t - 47005. What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 0.5 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 63040905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, 2, 3, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 15193 = 50*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - -2*(sqrt(240) + (sqrt(240) - -1*sqrt(240) - sqrt(240)) + sqrt(240)))\/(1*2*sqrt(147) + sqrt(147)))**2*6.\nAnswer: 160\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:13 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244883 is divided by 122439.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 2, -4\/9.\nAnswer: -14\/3, -4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*z - 73308*b**3 - 221*b**2*z + 19*b*z with respect to z.\nAnswer: -2*b**3 - 221*b**2 + 19*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 22*j**2 - 6*j + 41. Let z be g(11). Let p(w) = -w**3 - 23*w**2 + 49*w - 25. Calculate p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y + 15. Let l be w(7). Let v = -23 - l. Find the third derivative of -6*h**2 - 2*h**6 - 4*h**2 - v*h**6 + 0*h**6 wrt h.\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (3 + (-1 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -117, -118, -119, -120, -121?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*x + 8139975, -22*x = -5*p - 26*x + 8139980. Round p to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 67*o**2 + 178*o + 26. Let z be a(-13). What is the greatest common divisor of 130 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 8*w**3 - 3076*w**2 + 10680*w - 4572 = 0.\nAnswer: 1\/2, 3, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2464, 5062, 7660, 10258, 12856, 15454?\n\"Answer: 2598*l - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 5, a: 6}. Give prob of picking 1 n, 1 k, and 1 a.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 3.8. Suppose 2*z - 4 = -g, 0*g = 2*g - 4*z - 8. Let p = -7.98 + -0.02. Sort p, l, g in descending order.\nAnswer: g, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.16 + -0.16. Let y be ((-12)\/(-10))\/(2\/(-5)). Let d be y + (43\/(-15))\/(-1). Sort 0.3, d, g.\nAnswer: d, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10000001000011001?\nAnswer: -10000001000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15288 divided by 2?\nAnswer: -7644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by (7\/(-3))\/((-8)\/312)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1904 - -1903.986128. What is q rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/2201 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1222424 (base 5) to base 8\nAnswer: 55701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/11 + 542*r**4\/11 - 51204*r**3\/11 + 1969984*r**2\/11 - 25490752*r\/11 + 43502592\/11 = 0 for r.\nAnswer: 2, 21, 68, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2390\/7648)\/(105\/12)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/2355 and 32\/21.\nAnswer: 16485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12761*i**2 + 19265*i**2 - 6506*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2*x + 9. Let q(n) = 25*n - 32. Let w(v) = q(v) - s(v). What is the derivative of w(f) wrt f?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 18*t**2 - 17*t - 8. Give u(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(2) - -1*sqrt(72).\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) -5 (b) 76\/3 (c) 21\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m = 50*m + 6. Calculate the greatest common divisor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 22 = 118. Is s > -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303576 divided by -23352.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13815700517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-2)\/4)\/((-3)\/(-6)). Put 16, j, -1 in decreasing order.\nAnswer: 16, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -290310\/25337 - 7\/1949. Let k = n - -11. Let a = 15\/52 - k. Do -3 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (5 - 44)) + (9 + -15 - (6 - 7)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let r(n) = n**2 - 2*n - 1. Let x be r(g). Solve 0 = -3*d + x*m - 8, 2*d + 0*d = 5*m - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -160*w**4 + 339*w**2 - 2. Let a(t) = -t**2 - 1. Let g(z) = 4*a(z) - 2*d(z). What is the third derivative of g(m) wrt m?\nAnswer: 7680*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374529 and 654711.\nAnswer: 2859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -31*v + 7. Let g be h(3). Let u = g + 145. Suppose 2*f - u - 75 = 0. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10106554 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*m**2\/3 - 25*m - 2\/3.\nAnswer: -(m + 2)*(37*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*l + 103, 2427*m = -6*l + 2430*m + 171 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-175))\/((-7)\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11*v - 33. Let b be l(-6). Let h = 89 + -64. Suppose -4*a + 18 = 2*c, 5*a + h = 2*c + 2*a. Put c, 2, b, -1 in ascending order.\nAnswer: b, -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 + 2150905708\nAnswer: 2150905708.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*v = -462*v - 26 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2 + 41118*h + 2474280 = 0.\nAnswer: -60, 20619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*o + 671*o - 2681*o + 675*o + 676*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 1, -4.\nAnswer: -4, 1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163548 is divided by 91?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61316 is divided by 219.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*l = 33, 4*z + 4*l - 27 = 5*l. Calculate the lowest common multiple of z and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776.04 times -79?\nAnswer: 61307.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -y - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -309 + 312 + (-5 + 4 - 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-2*-1)\/sqrt(3) + 1.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*k**3 + 0 + 26\/5*k**2 - 84\/5*k.\nAnswer: -2*k*(k - 7)*(k - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66561, -66531, -66487, -66429?\nAnswer: -66357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 + 2*i. Let b = 2 + -6. Let m(s) = 5*s + 8*s**2 + 3*s**2 - 2*s**2. Let x(v) = b*m(v) + 11*k(v). What is the second derivative of x(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 57*p + 70. Calculate l(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 3:08 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 6*j - 5. Let n = 8 - 2. Let r be y(n). Suppose -5*v - 4*m + r = -2*m, 388 = 5*v + m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -25. Let h = m + 891\/7. Sort 0.3, h, -0.3 in decreasing order.\nAnswer: 0.3, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.4 (b) 0.08 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6308)\/(-608))\/(1\/4). Is d != 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.819 - 2.719. What is the closest to m in 1\/4, 0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15643.88 millilitres in litres?\nAnswer: 15.64388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-32)\/116) - 2 - (298 - 294). Factor 0 + 5\/4*x**2 - w*x.\nAnswer: 5*x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 143377073\nAnswer: 5\/143377073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002579 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*v**3*w + j*v**2*w**2 - 3*j*v**2*w - 2*j*w**2 + v*w**2 - 8*v*w wrt v?\nAnswer: 6*j*v*w + 2*j*w**2 - 6*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*3)\/(sqrt(3) - sqrt(27)*2).\nAnswer: -21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1674, -12, 1141.\nAnswer: -1674, -12, -4, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 - 283255?\nAnswer: -283378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)\/c**(2\/9))**48 assuming c is positive.\nAnswer: c**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*w**3 - 1572*a*w**2 - 3*a*w + 173*a + 125*w**3 + 19750 wrt a?\nAnswer: 4*w**3 - 1572*w**2 - 3*w + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - ((-3)\/6)\/((-5)\/40). Solve -4*k = f*x - 0*k + 19, 5*x - k + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:38 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(2*sqrt(325) + (sqrt(13) - (sqrt(130)*-2 - sqrt(130))\/sqrt(10)) + 0)**2.\nAnswer: -12742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/21 + 2*b**6 - 111*b**5\/5 - 46*b**4\/3 + 245*b**3 - 450*b**2 - 52*b - 21. What is j in r(j) = 0?\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1702563*y**3 + 55522?\nAnswer: 5107689*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.996 + 4.9952165. What is p rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 144. Let o be r(14). What are the prime factors of (2475\/(-22))\/((-3)\/o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/7, -5, -88, 2, 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Suppose 0 = 3*l - 5*t - 0*t - 11, -2*l - 2*t + 34 = 0. Let c(y) = 16*y. Determine l*i(o) + c(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - k. Let m(g) = 11*g**2 - 4*g - 3. Let t(c) = -m(c) + 5*q(c). Determine t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3802312*n - 2. Let w(k) = -k. Give w(c(x)).\nAnswer: 3802312*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -0.5, 11, -4, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 23*u + 870 = 17*u - 455 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j - 4. Let y be g(6). Let w be y\/(-6) - 3\/(-9). Solve -d = 2, d + w = -4*o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 (base 13) to base 12\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418737059 and 533.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*z + 9*h - 201388, -4*h + 80566 = 2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/18*9\/6. Let c = n + 4. Factor 4 + 14*k + c*k**5 + 4*k**4 + 25\/2*k**3 + 19*k**2.\nAnswer: (k + 1)**2*(k + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 29. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*q - 3*q. Let c(g) be the second derivative of -g**5\/20 + g**4\/2 + 5*g**3\/6 - 4*g**2 + 4*g. Calculate the remainder when c(6) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let n be -1*2 - (-450)\/180. Let m = -8 + 13. What is the closest to x in m, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -228.3?\nAnswer: -226.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.093 from -667.54234.\nAnswer: -667.44934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.56, 13.7, -7 in descending order.\nAnswer: 13.7, 1.56, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230669435*c**2 - 730279177 with respect to c.\nAnswer: -461338870*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 5*o - 217, 0 = g + o - 71. Let z(d) = -12*d + 39*d + g*d - 12*d + d. Let w(n) = 5*n. What is z(w(x))?\nAnswer: 425*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -285*h + 273*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, f: 7, k: 6}. What is prob of picking 2 k?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2 + 0)\/(7 - 4). Suppose 4*f - 27 - 17 = g. Calculate the remainder when 152 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 128*k + 16. Determine b(32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1527 (base 10) to base 4\nAnswer: 113313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmemmeem.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45))\/(3*(-32)\/1200)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -989*k + 492*k - 3*k**3 + 497*k + 5. Let x(a) = -a**3 - 2 + 0*a**3 + 2*a**3. Let b be -1 + (-3)\/(4 - 1). Calculate b*r(l) - 5*x(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25, -0.071, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1651 by 127.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/7462 and 7\/((-441)\/(-42))*(-70 + -2 + 3).\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -21*r**3 + 11*r**2 + 6*r - 21. Suppose 0 = -4*y - 9 - 35. Let v(m) = 4*m**3 - 2*m**2 - m + 4. Calculate y*v(j) - 2*s(j).\nAnswer: -2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 27. Suppose 2*j - d*a - 141 = 0, -5*a + 32 = -j + 105. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 14*n + 14*n + 8*n**2)*(-3*n + 3*n - 4*n).\nAnswer: -32*n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + x)*(-5*x**2 - 24*x**2 + 4*x**2).\nAnswer: -75*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0)**(-14))**(2\/7))**(-14) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-26)*(2 + -4 + -2). Sort -4\/13, k, -1 in decreasing order.\nAnswer: -4\/13, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02429 to 4 decimal places.\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/6 + 106955*x\/3 - 2287874405\/6.\nAnswer: -5*(x - 21391)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/472*2\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114444782623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 36*s**2 - 7*s**3 - 185*s**2 - 26 to the form d*s**3 + g*s + a*s**2 + o and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 26*r**3\/3 + 20*r - 3. What is the derivative of i(z) wrt z?\nAnswer: 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1359cc7 (base 13) to base 5.\nAnswer: -3030333312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/21)\/(((-9)\/2106)\/(2\/(-4))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a factor of 3155580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890, 892, 890, 884?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 149. Let y be (7\/((-21)\/w))\/(1\/(-3318)). Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1210.3 - 1210. What is the third smallest value in -10, s, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40062.99 + 39776. Round w to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4726088 is divided by 429633?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:42 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -46, -55, -54, -43?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139.6 + -3.4. Let i = w + 141.58. Let u = i - -0.42. Which is greater: 1.7 or u?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r - 10585 = -12862 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120081 and 293.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4647 = 3*y - p - 1085, -5*y - p + 9540 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/(6 + 235\/(-40)). Suppose s*o = 5030 + 434. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 + -188.3. Round p to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**4 + 0*k**3 + 3\/5*k**5 - 6 - 6*k + 0*k**2. What is the first derivative of v(u) wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -5\/102404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*s**4 + (2 - 1 + 0)*(-2*s**4 + s**4 + 0*s**4) + 9*s**4 + 15*s**4 - 10*s**4.\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1342905.43 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 - 1116 = -9*t. Find the first derivative of t + 91 + 67*g + 354*g**4 - 67*g wrt g.\nAnswer: 1416*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 1. Let q be u(-2). Let m(p) = 30*p + 16*p + 3 + 18*p - 46*p. What is the remainder when m(q) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -141\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 23*m - 20*m = 256. Suppose 0*d - d - 3 = 0. Put m, 3, d in ascending order.\nAnswer: m, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143.54 - -143.54060539. What is z rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -72\/7 - 2\/7*j**2 + 24\/7*j = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 10*q**2 + 9*q - 4. Let d be i(9). What is the nearest to -0.1 in -3, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 3*g**4 - 6*g**4)*(0*g + 2*g + 0*g) - 77*g**3 + 21*g**5 + 8*g**5 + 79*g**3 + (-3*g + g + 0*g)*(2*g**2 - 2*g**2 + 2*g**4) + 9*g**5 - 18*g + 18*g.\nAnswer: 30*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 0. Calculate the common denominator of j + ((-315)\/(-24) - 1) and 49\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h = 495*h - 256*h + 84 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361736 times 2?\nAnswer: 0.0723472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 5 + (sqrt(17) + (sqrt(153)*-3)\/sqrt(9))**2.\nAnswer: 5*sqrt(17) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 divided by 5?\nAnswer: -622\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3747 + 0.1447. Is -10 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - -1610. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n. Let d(b) = -3*b. Let o(i) = 11*d(i) - 2*x(i). Let c(a) = -1. Let u(v) = -2*v - 6. Let l(g) = 6*c(g) - u(g). Give o(l(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2469264*v*z - 45*v - 2980597*z - 7 wrt v?\nAnswer: 2469264*z - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let r(z) = 35*z - 15. Let g(d) = 5*d - 2. Let j be (2 - 3)\/(2\/(-30)). Let l(k) = j*g(k) - 2*r(k). Give l(b(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 4, t: 5, q: 1, r: 5}. Give prob of sequence zztz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40217002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:23 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.124 (c) 1\/9 (d) 2\/15 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12813*n - 816. What are the prime factors of j(5)?\nAnswer: 3, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = -94 - 26. What is the least common multiple of 29 + (2\/x)\/((-1)\/9) and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34942631, 34942634, 34942637, 34942640?\n\"Answer: 3*l + 34942628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2857, 14969, 35155, 63415, 99749, 144157?\nAnswer: 196639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57480962 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 39*h. Let a be (456\/(-32))\/19*64\/(-6). Let o(w) = 13*w. Calculate a*o(v) - 3*r(v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 7*k + k - k + 5*k - 2*k + (2*k + 3*k - 3*k)*(4 - 5 - 1) - k + 0*k - k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 536325?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 22*k - 35. Determine a(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1197924, -1197925, -1197926, -1197927, -1197928, -1197929?\nAnswer: -1197930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216991722.\nAnswer: 2, 608495861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 373899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2 + 5*w - w - w. Let s = 82 + -77. What are the prime factors of z(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 3 + (19 + -3)\/(-4). Let m(z) = z**3 - 7*z**2 + 5*z - 2. Calculate m(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/345, -4, -0.2 in decreasing order.\nAnswer: 2\/345, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 4 + -12 + 622 + -623\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 117, 194, 251, 282, 281, 242, 159?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 189.2443 kilometers?\nAnswer: 189244300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 12*s + 31. Let c be t(-3). What is the third derivative of 3*p**2 - 24*p**4 + 27*p**4 - 119*p**c + 8*p**2 - 117*p**4 + 11 wrt p?\nAnswer: -5592*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796312589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, z: 2}. Give prob of sequence zzl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7044 + -1600. List the prime factors of k.\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 6 + -1*1. Suppose 4*x - 23 = y, -m*y + 0*y = x - 10. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**44)**15*(((c*(c**1\/c)\/c)\/c*c)**(-27))**(-1\/7) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, r: 10}. Give prob of picking 3 r.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172425708 a multiple of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from vnnzennrv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 2, q: 3, h: 2, k: 2}. Give prob of picking 2 k and 1 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3209 millilitres in litres?\nAnswer: 0.0123209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*a = 291*a - 449*a - 529*a - 25776 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-11)*q\/(q\/(q\/(q\/q**12)))*q**(-1\/6)*(q*q\/(q*q*q*q*(q*q**(9\/8))\/q*q*q*q*q)*q)\/q assuming q is positive.\nAnswer: q**(-127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101, 150, 239, 374, 561?\n\"Answer: m**3 + 14*m**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, q: 2, e: 3}. What is prob of sequence qfeq?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -41.95. Let g = -0.05 + j. Let f = 3 + g. What is the closest to 1 in 5, f, -2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (675\/4)\/(66\/176). Let k = -435 + f. What is the least common multiple of k and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -315, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-3)*(-1)\/9. Which is the second smallest value? (a) r (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20057.\nAnswer: 31, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17976, -17972, -17964, -17952, -17936, -17916?\n\"Answer: 2*g**2 - 2*g - 17976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.22.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11206836 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-11.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f + 0*f + 7*f)*(-f - 7*f + 3*f)*(-3*f**2 + 4*f**2 - 3*f**2).\nAnswer: 150*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/(6\/(-32)). Let m be (30\/l)\/((-378)\/48). Let x = -109\/126 - m. What is the common denominator of x and 85\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/460 and -22\/215.\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*k - 3*m = 192*k + 37, -3*k + 5*m = -51. Determine q, given that 72\/5 + 161*q**3 - 49\/5*q**4 + 1354\/5*q**k + 572\/5*q = 0.\nAnswer: -1, -2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-4)\/3. Let w = -102201 - -102210. Solve -w*f + 7 = -m*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 553, 1240, 1943, 2662, 3397, 4148, 4915?\n\"Answer: 8*b**2 + 663*b - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3737, 4836, 5931, 7022, 8109?\n\"Answer: -2*m**2 + 1105*m + 2634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) 11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a - 1. Let z(q) = -5*q**2 + 21*q + 6. Calculate -11*m(s) - 2*z(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2032*u - 13. Let i(c) = -375*c. Determine p(i(m)).\nAnswer: -762000*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 22830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8 - 7 - x + 3*x**2 + 13. What is f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3839 + -126686\/33. What is the common denominator of p and 67\/242?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 8*s**7\/7 - s**3 - 4. Find the third derivative of r(b) wrt b.\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from drlerrdeererrreld.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66560862*c - 133121717*c + 66560859*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppvppkkupu. What is prob of sequence vuku?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 70. Calculate the remainder when 51 is divided by ((-108)\/(-3))\/f - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9172*p**3 - 13*p**2 + 14*p - 2. Let n be i(1). Round n to the nearest 100.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 75. Solve 4*x + 1 = -s + 9, f = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -49*q**3 - 4*q**2 - 30*q + 62. Determine a(2).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -30*m + p - 22, 7 = m + 4*p - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4230)\/235 - -1*12 - 14\/1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1 + (-o + 4*o - 9*o)*(2 + 3 - 6))*(-2 + o + 2).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 14 = 4*p, -17 = -13*p + 10*p + 4*h. Which is the biggest value? (a) 4 (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**40*k*k**(-4\/5)*k*k**(-2)\/k assuming k is positive.\nAnswer: k**(-463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.3437 litres to millilitres.\nAnswer: 85343.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffwffdwfwlfl. What is prob of picking 1 d and 1 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 252*r - 231*r - 252. Let h(m) = m + 3. Calculate h(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-4)\/22) + 0. Let m be 196\/16 + (-2)\/((-16)\/6). Suppose n*p - m*p = -578. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)\/c*(c*c**5)\/c)**(-3\/29) assuming c is positive.\nAnswer: c**(-21\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 152 = 2*j, 4*v = -5*j + 3*j + 144. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(13\/3)*u**(9\/2)\/u*u*(u**18)**4 assuming u is positive.\nAnswer: u**(485\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 446, 958, 1676, 2612, 3778, 5186?\n\"Answer: 2*c**3 + 85*c**2 + 49*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.61197 and -41?\nAnswer: 25.09077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10670742 and 50958.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -727, -736, -745, -754, -763, -772?\n\"Answer: -9*x - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 15*g - 140 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from {m: 4, y: 2, p: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*r = 213 - 240, -4*x = -3*r - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and -3 + (-25)\/(-5) - (0 - 1317)\/3?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 + 6*q + 0*q**2 + 33*q**2 - 3*q + 30*q**2.\nAnswer: 47*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027223 rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 31*z**2 + 32*z - 77. Let f = -8374 + 8404. What is n(f)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/(-2))*(-23922)\/74424.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -1177*j**7\/35 + j**5\/15 - 1685*j**3\/6 - 10724*j**2. What is the third derivative of h(m) wrt m?\nAnswer: -169488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from {i: 2, b: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 9 in descending order.\nAnswer: 9, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/5*(-22)\/(-8). Let b = 7 - r. Which is greater: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*z = -8, 5*h = -2*z - 3*z. Let r be (h + -4)*1 + 5. Let 0 + r*g**2 + 0*g - 1\/4*g**3 - 1\/4*g**4 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(364\/20)\/(-13).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/27 and 139\/609432.\nAnswer: 5484888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 4*c + 18, -7 = -4*d + c. Suppose 4*m = d*m + 16. Solve -o + m = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*v - 598*v + 296*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -7, -8985 in ascending order.\nAnswer: -8985, -7, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 - 155*v + 248. Calculate z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 5*j + 4*j + 29*j**2.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81298720*y + 5*y**3 - 81298720*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let o(s) = s**2 - 27*s + 4. Let z be o(27). Suppose 0 = -4*h - a - z*a + 9, -5*h = a - 27. Solve u*q = 2 + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38809.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/255 - -1)\/((-2)\/(-12))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2748, 2750, 2752?\n\"Answer: 2*f + 2746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/6*160\/200. What is the closest to -37 in -0.5, -3, v, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, s: 2, l: 2}. What is prob of sequence sl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 + 1 - 154*d - 1 + 22*d**5 + 60*d**5 wrt d.\nAnswer: 1600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05805 + -100.94195. What is the closest to 0 in m, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k + 65 = 0. Let v = k + 17. Suppose v*n = -3*s + 4*s - 81, 2*s = -5*n + 97. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 + 1 - 1)*(-3*t + 4*t + t) + 183215*t + 5*t**3 + 2*t**2 - 366453*t + 183237*t - 50*t**4 + 3 to s*t**3 + q*t + y + o*t**2 + h*t**4 and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 809*y**4 - 42*y**3 + 1299*y**2 + 241*y - 13?\nAnswer: 19416*y - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 3211 = -3163 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*y**3 + 2*y**2 - 45*y**3 + 7*y**3 - 2*y**2.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 116 = -115. Let f(p) = -p**2 + 2*p - 28. Let o(t) = t**2 + t + 1. Let b(z) = a*f(z) - 4*o(z). Suppose b(q) = 0. Calculate q.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13. Let y be ((-15)\/4)\/((-3)\/8). Suppose 2*z - 95 = -i - y, z - m*i = 55. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 + -3.23. What is the closest to 1\/3 in -0.05, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from {y: 2, q: 4, i: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 + 16*c - 84 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3527865.2530367 from 0.08.\nAnswer: -3527865.1730367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18 + 2 = 0. Let u = 13 + -8. Suppose 23 = b*x - u. Solve -x = 5*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 5, 9, 15, 23, 33, 45?\n\"Answer: z**2 - z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-11115)\/125970.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:55 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-9)*126\/(-84))\/((-1)\/8). Let d(r) = -3*r - 4. Let s(z) = 21*z + 27. Calculate c*s(k) - 27*d(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3221.050964 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*c + 84. Solve 0 = -t - 3*t + 2*g + c, 2*t - 3*g - 3 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/9))**(-1)*(((r**(-1\/4)\/r)\/r)\/r)\/r**(-2\/31))**(7\/2) assuming r is positive.\nAnswer: r**(-34433\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11787*s**2*z + s**2 - s*z**2 + 136*z**2 - 30*z - 2 with respect to s.\nAnswer: 23574*s*z + 2*s - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 49\/2*f**2 + 49 + 0*f + 0*f**4 - 3*f**6 + 0*f**3 + 0*f**5. What is the second derivative of q(o) wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66897236 less than -1.5?\nAnswer: 66897234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 29 - 229. Let t be r\/26 - (-2)\/13. Find the third derivative of -5*s**3 - t*s**2 + s**3 + 6*s**3 wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 160*f**3 - 3*f**2 - 15*f + 13. List the prime factors of r(5).\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903789 is divided by 451875?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 1\/3, -944, 0.3, -9, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(147) + -2 + sqrt(147)) + 3 + (sqrt(147) - (sqrt(147) + -3 + sqrt(147))*4 - sqrt(147))*-3)*2)**2.\nAnswer: -14112*sqrt(3) + 86436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -30*a. Let v(y) = 59*y. Let q(b) = 5*n(b) + 3*v(b). Let p(d) = 2*d. Determine q(p(z)).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.4 (c) -2\/13 (d) 1917 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (38 + -8 - 39) + 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2 - 1 + 3*v**2)*(0*v + 3*v + v)*(v**2 + 2 - 2) + (v**5 - 2*v**5 + 0*v**5)*(-1 + 3 + 0).\nAnswer: 2*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/1050*(1\/2 - -1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 54*g**2 - 1 + 2*g**2 + 4*g - 2*g + 3. What is the tens digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64530 - 32261 - 176*w**3 - 32266.\nAnswer: -176*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 85. Let y = r + -5. Let c(h) = -3*h - 13. Calculate the remainder when c(-12) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-11) - (1 + -1). Suppose 39*q = 40*q - 1. Which is the nearest to 2? (a) q (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6202283nm to meters.\nAnswer: 0.0000000006202283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4136, 7076, 8816, 9356?\n\"Answer: -600*w**2 + 4740*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(245)*-1 + 2))**2.\nAnswer: -896*sqrt(5) + 7968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 + -255.8. Let d = 45.7 - j. What is the biggest value in d, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115 - r**2 + 312*r**4 - 46*r**6 + 25*r**6 + 20*r**6 wrt r.\nAnswer: -120*r**3 + 7488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 374\/51*30\/(-2). Let b = -68 - h. What is the remainder when b is divided by 2\/7 - (515\/(-35) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -637 and -81475263477.\nAnswer: -81475264114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p - 3. Let q be o(-3). Which is the second biggest value? (a) q (b) 2\/19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152129.393108+0.2\nAnswer: 152129.593108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*o + o, -11 = 5*w + 3*o. Which is the third biggest value? (a) 0.3 (b) -0.5 (c) -5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72908804?\nAnswer: 2, 23, 792487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p + (31 - 21 + 48)*(-1 + 2 - 2)*(-4*p + 3*p + 2*p))*(-50*p**2 + 201 - 201).\nAnswer: 2850*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -625449*n + 1876349. What is h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 645\/11 + -8521\/132. Let t be (-5 - -4)*(1 + -4398). Let s = 26521\/6 - t. Calculate the common denominator of s and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -624*o**2 + o + 430*o**2 + 360*o**2 in the form k*o**2 + s + g*o and give k.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33177277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -8.163837?\nAnswer: 65.310696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 173536116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -109. Let s(u) = -7*u - 2. Let i be s(-6). Suppose -5*c = -0*c - i. Solve -b*g + g - c = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30847673*b**2 - 3*b - 91424319 wrt b.\nAnswer: 61695346*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 7*s + 3*x + 295290, -3*s + 177140 = 5*x. Let w = s - -29168. Suppose 0 = y + 3888223 - w. What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -9. Let u(a) = 8*a + 6. Let t(n) = 23*n + 17. Let q(c) = l*u(c) + 4*t(c). Calculate q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 43*g**3 + 6*g**2 + 11. Let k(v) = 15*v**3 + 2*v**2 + 4. Give -4*i(d) + 11*k(d).\nAnswer: -7*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 523953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 16*l - 9. Let p(n) = -n**2 - 5*n - 3. Let o(r) = 2*c(r) - 7*p(r). Let t = 102 + -92. Let s be (-4)\/30*-9*(-25)\/t. Give o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406688074?\nAnswer: 2, 3, 7, 79, 241781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4 (b) -52.9 (c) 4\/1219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 6 + 2*k + 2*k. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (1*-1 - 4\/(-4)). Let i(q) = -11*q + 37. Let w be i(y). Let u(p) = p**3 + 6*p**2 - 5*p + 4. Determine u(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130540544.95 to the nearest one million.\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 14*s + 2. Let q be z(-7). Is 260\/q*(5 - 63\/15) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13*d - 16. Let l be o(14). Let g = l + 108. Let n be g\/(-18) - (3 + -1). Calculate the greatest common divisor of n and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 648\/(-84) + 12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, 2584, -1, -3 in descending order.\nAnswer: 2584, 4, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -382 - -353. Let q(j) = -2*j**3 - 57*j**2 + 27*j + 57. Let o be q(z). Calculate the highest common factor of 69 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 140 = -2*z. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqixxiixixxiii. Give prob of picking 2 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 1, d: 1, q: 1, b: 4}. Give prob of sequence xqb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -114, 5, 19, -5 in decreasing order.\nAnswer: 19, 5, 4, -3, -5, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0 - -2) + 18\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**4 + 11*m**3 - 4*m**2 - 8*m + 3. Let q(b) = 64*b**4 + 100*b**3 - 36*b**2 - 72*b + 28. Let i(d) = 28*j(d) - 3*q(d). Let i(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1998, 7103, 20998, 48087, 92774, 159463, 252558, 376463?\n\"Answer: 734*b**3 - 9*b**2 - 6*b + 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + 0 + 16. Suppose n = w + 11. Suppose 4*q + 625 = -m + 4*m, 2*m = w*q + 417. Is m a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, -5, 214, 6 in ascending order.\nAnswer: -5, -4, -3, 5, 6, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 30, -24, -96, -192, -318, -480?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/100842 and 115\/188832.\nAnswer: 453385632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krar when four letters picked without replacement from qajxrrajkrkkrkkaxkr.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -88. Suppose -g - 2*d = 2*d - 25, -n*g + 35 = 4*d. What is the remainder when 10 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 + 252 - 137) + (3 - 44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + 2 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Suppose -z - 2 = -c. Find the third derivative of z*k**2 + 6 - 3*k**4 - 13 + 7 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 5)*(2 - 6 + 2)*(-89*n + 103 - 102 - 51*n).\nAnswer: -840*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40590, 81180, 121768, 162354, 202938, 243520?\nAnswer: 284100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 12*r**2 + 13*r + 10. Suppose 4*y = -7 + 27, 0 = -v - 2*y + 13. Suppose u + 10 = t - 2*t, 5*t = v*u - 34. What is the hundreds digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h + 11. Let a(j) = 46*j - 27. Determine -6*a(y) - 13*d(y).\nAnswer: 10*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 45. Let u be 12\/o + 406\/17. Let k = u + 15. What is the highest common factor of 156 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, 11, -38147?\nAnswer: -38147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.5, 0, -2 in ascending order.\nAnswer: -2, 0, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7106 - 42*i + 3553 + 3553 + 16*i. Let u(c) = -117*c + 1. Give q(u(z)).\nAnswer: 3042*z - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -212, -440, -668?\n\"Answer: -228*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 - 89869*v**2 - 71891*v + 17973 = 0.\nAnswer: -17973, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + w - 34 + 32 = 0, 5*p + 3*w = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3884953 and 3657.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 10*i**2 + 4*i - 5. Let r be h(-4). Let k(y) = -y + 17. Calculate k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6\/13, 78, -2, -5, 2\/3 in descending order.\nAnswer: 78, 2\/3, -6\/13, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.015 in 0.5, 44, -2\/9, -4\/7, 2\/193?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 1731321.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k. Let u(n) = 2*n - n + 14*n + 1 - 2. Let b(x) = -7*o(x) + 3*u(x). Let l = -542 - -539. Calculate b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((sqrt(192)\/sqrt(4))\/sqrt(2) - 2*sqrt(1944))\/(-1*sqrt(72)*-1)*5)*3)**2.\nAnswer: -1020*sqrt(3) + 21711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -414, -7, -0.2, 3 in descending order.\nAnswer: 3, -0.2, -7, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 15. Suppose -u + 8 = x*t - 8, 4*t - 32 = -5*u. Is u <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/12 + u**2 + 100*u. Let t(q) = q**2 + 2. Let i(h) = -2*h**2 + h - 1. Let n be i(1). Give n*t(k) + 3*b(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 5.21. Let c = -61 - -63.8. Let p = c + -3.8. Sort p, g, -1\/15 in decreasing order.\nAnswer: -1\/15, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -222, -445, -668, -891?\n\"Answer: -223*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11887051\/40 + 594875\/2. Let b = -1253\/5 + j. Calculate the common denominator of 93\/20 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 10:56 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 75*u**3 - 69*u**2 - 75*u + 72 = 0 for u.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125550 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/24 - 3*f**2. Let d(x) be the first derivative of -7*x**2\/2 + 13. What is d(l(q))?\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/33)\/((-3)\/(-36))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((2*(-2)\/(-232))\/(85\/408))\/((-662)\/(-3310))\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/3092439 and -25\/189?\nAnswer: 27831951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/15655 and -83\/17360.\nAnswer: 1753360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3096, -6238, -9378, -12516, -15652, -18786, -21918?\n\"Answer: b**2 - 3145*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2\/2 - 3. Let y(v) be the second derivative of v**4\/3 - 2*v - 7. Determine y(c(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 6) in base 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -5\/6 (c) -7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15422 is divided by 14923?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*c*y**3 - c*y**2 + 288112*c*y - 55*c + 52803*y**3 + y wrt y?\nAnswer: 102*c + 316818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 4*d + 6. Let r be i(3). Let b(k) = -k**2 - 19*k - 54. Suppose 2 = 4*n - 2. What is the least common multiple of n and b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/540*-318 + 5 - 7\/(-63)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*x + 5 = 0, 4*x - 2*x + 8 = 0. Suppose -g = b - 17. Is 10 a factor of (b\/(-10))\/((-3)\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*p + 8 + 0 - 3*p as y + m*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 4585*i**3 + 72 - 9161*i**3 + 3*i**2 + 4578*i**3 - 2*i**4 to the form o + d*i**4 + j*i**2 + l*i**3 + f*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -5939364\/5 and -1187872 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2 + 5*k**3 + 2*k**3 - 3*k + 5*k + 3*k**2 - 6*k**3. What is y(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35305, -35309, -35313?\nAnswer: -35317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + (sqrt(2) - (-1 + sqrt(2))) - sqrt(10)\/(sqrt(25)\/sqrt(5))) + 1 + sqrt(8)\/sqrt(4)*4 + 4)**2.\nAnswer: 54*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or 16732\/5597?\nAnswer: 16732\/5597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18564, 0.4, 274?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 6*o. Let t be j(-6). Suppose t = -0*l + 3*l. Suppose -303 + 43 = -52*s. Solve -5*f = 4*g + 41, -g + l*g + s*f = -21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2. Let w(i) = 3*i**2 - 4*i + 4. Let u(b) = 4*b**2 - 5*b + 5. Let h(j) = 4*u(j) - 5*w(j). Determine m(h(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*41*3\/6. Let h = q - -89. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x\/(x\/(x**3\/x)))*((x\/(x**1\/x))\/x)**(13\/2))\/(x\/(x*x**0*x*x*x)*((x*x\/x**(-2\/19))\/x)\/x*x**(-4\/3)*x*x\/x**6) assuming x is positive.\nAnswer: x**(70\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 876626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 3*k**2 - 6*k**2)*(0 - 2*k**2 + 0) + 0*k**4 + 4*k**4 - 3*k**4 + 3184*k**4 - 1519*k**3 + 1519*k**3 + 840*k**4.\nAnswer: 4023*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooxxooo. What is prob of sequence oo?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8142023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 19. Suppose 2*l = l + 3, 4*l - 12 = d*a. Is 1*23*(-2 - (a + -7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**2\/2 - 349. Let w(k) = k - 163. What is w(h(b))?\nAnswer: -b - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 11*z**2 + 4. Let c be u(11). Solve 0*x = c*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1694 and 46662.\nAnswer: 513282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-96)*-2)\/(6\/(-18)). Which is the third biggest value? (a) -3\/7 (b) 1 (c) l (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2 - v + 12. Let a(q) = 22*q**2. What is l(a(s))?\nAnswer: 3388*s**4 - 22*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 818742710 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(17\/6 + -3). Suppose -4*a + 2*m + 248 = w*m, -154 = -2*a + 4*m. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/6 - 3*y**2 - 2*y. Suppose 1 = 3*i - 11. Suppose 10 = -2*z + i*l, 5*z - 5*l + 4 = -1. Give g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 4, 7799, 3 in increasing order.\nAnswer: 3, 4, 114, 7799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 2.2. Let q = v - 3.5. Let p = -6 - -2. Sort 0.3, p, q.\nAnswer: p, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596503?\nAnswer: 1596503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106943, 427794, 962539, 1711172, 2673687, 3850078?\nAnswer: 5240339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46447182 divided by 2580399\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.7145 - -5.6859. Let m = -0.0286 - s. Suppose 0 = -4*g + 5*h - 13, -2 = 2*g - 2*h + 4. Which is the second smallest value? (a) -4 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 67.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*j - 4*i, 0 = 5*j + 3*i - 6*i + 5. Find the third derivative of -1534*q**3 + 2*q**2 + 7*q**2 - 1542*q**3 - j*q + 3046*q**3 wrt q.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -22a?\nAnswer: -22f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -4, -1.8748 in ascending order.\nAnswer: -4, -1.8748, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1620784217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 1, l: 2, y: 1, i: 1}. What is prob of sequence hy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (8\/(-2))\/(-2). Calculate the smallest common multiple of 5 - 6 - h*-17 and 17 + 1 - 0\/4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -344814, -344285, -343756, -343227, -342698, -342169?\n\"Answer: 529*h - 345343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + s**2 + 888*s + 5758. Calculate k(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 5*g**2 - 2*g**2 + (-5 + 3 + 0)*(2*g - 2*g - g**2) + 5*g - g**2 - 5*g + 3*g**2 + 3*g**2 - 5*g**2 + 3*g**2 - g**2 + 1 - 7*g**2.\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 42*i**3\/5 + 38*i**2 + 30*i.\nAnswer: 2*i*(i + 1)*(i + 5)*(i + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 5*w, 0 = -c - 4*w + 21. Let h(s) = s + 7. Let p be h(-4). Suppose -n + 3*j - 367 = -c*n, 272 = p*n - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867093576 divided by 216773394?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2673618 by 1146.\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/19, 60, -5, 3 in decreasing order.\nAnswer: 60, 4, 3, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:42 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23771 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9253 + -7486. Calculate the smallest common multiple of 6 and k.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 28. Suppose 0 = 3*c - l - 0. Let k be 15*4\/12*c. Solve k*q = 4*n - 19, 0*n + 4*n + 11 = -5*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -1\/2*w**3 - 1\/12*w**6 + 119 + 0*w - 7\/8*w**4 + 0*w**2 - 1\/2*w**5. Find v such that t(v) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, 2, 8, 6, -2 in descending order.\nAnswer: 8, 6, 4, 2, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19494)\/35739 - 159\/11*(3 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1286784250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 3 - -2)*(-995)\/(-10). Let h = 118 - a. Let w = h - -101. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 11. Let i be n(10). Let z = 59 - i. Suppose -z*g = -5*g - 6303. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387081 - 4?\nAnswer: -387085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (16\/((-6)\/3))\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:07 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2151*f + 2172*f + 3*k = -135, 3*f + 4*k = -5 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - 33. Let d(g) = -2*g**3 - 5*g**2 + 6*g + 10. Let a be d(3). Let s = l - a. Solve b = s*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/9)\/p)*p)**(-15) assuming p is positive.\nAnswer: p**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(72)*-2) + 1 + -2.\nAnswer: -1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 3*a + a, -a - 3 = -i. Solve 2*w + 12 = i*w + 5*c, w + 15 = 4*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3*x + 52*i**3 + 4249*i**2*x - 2*i + 13 wrt x.\nAnswer: 3*i**3 + 4249*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2884, -9, 0.2?\nAnswer: -2884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29029\/60 + 1915\/4. Calculate the common denominator of g and 41\/6762.\nAnswer: 33810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 2, -69, -192, -385, -666?\n\"Answer: -3*g**3 + g**2 - 19*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 9. Let f(r) = -r**3 + 2*r**2 - 3*r + 3. Let q be f(2). Calculate the lowest common multiple of s(q) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -5. Let s(i) = -3*i + 6. Let d be s(2). Suppose 3*l = k + 20, -5*l - 2*k + 23 - o = d. What is the least common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4251 = 233*z - 290 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155162 (base 7) in base 5?\nAnswer: 1434440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/3*o**4 + 0*o + o**2 + 1\/120*o**6 + 0 - 1\/6*o**3 + 1\/12*o**5. Is y(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(15\/4)*x*x**(-2\/3) assuming x is positive.\nAnswer: x**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91962, 371665, 837830, 1490451, 2329522, 3355037, 4566990, 5965375?\nAnswer: 7550186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348186, 696362, 1044538, 1392714?\n\"Answer: 348176*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 89.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*f*m**3 + 526*f*m - 3*f + 3*m**5 wrt m?\nAnswer: 168*f*m + 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 2.25, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.78 * 6.\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3954*a - 7 = 3957*a, -8*g + 3*a - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/594 - (-232)\/(-11484).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Suppose -l - 54 = -t. Suppose x + 14 = d, 5*x = -d + 5*d - t. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491352741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 151\/3 (b) 38.5 (c) 2.66 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 69 + 21 + 22 + 26.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*z**4 + 2*z + 27?\nAnswer: -1164*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/4 of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/2 of a year?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 530939\/11 - 48267. Find x such that 0 - y*x + 2\/11*x**3 + 0*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -7. Suppose 2*j = z*j. Solve c - 6*c - 10 = j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**35)**(-49)\/((i*i*(i*i**(1\/6)*i)\/i)\/i**(-4\/9))**(1\/9) assuming i is positive.\nAnswer: i**(277765\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23267\/(-318) - -74)\/(5\/243*3)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315636205 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let s be (312\/36)\/(3*(-4)\/(-18)). Let d(f) = 8 - 2*f + s - 21 - 19*f**2. Calculate d(a(t)).\nAnswer: -19*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - sqrt(36)) - sqrt(13) - (4 + sqrt(39)\/sqrt(3)) - ((-3 + -1 + sqrt(468))**2 + sqrt(468)).\nAnswer: -488 + 79*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/80 and -103\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 32*i**2 + 26*i + 37. Let n(o) = o**3 - 15*o**2 + 12*o + 18. Let r(h) = 4*m(h) - 7*n(h). What is r(22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 + 3*d**4 + 63*d**3 - 3*d**2 - 60*d = 0. What is d?\nAnswer: -4, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35504*x**6 + x**4 + x**3 + 217743*x**2 wrt x?\nAnswer: -4260480*x**3 + 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -97, -199, -303, -409?\n\"Answer: -g**2 - 99*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:17 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2466593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 - 20 = -i, 2*s = -3*i + 11. Let q(t) = -3*t + 1. Let n be q(1). Let m = i + n. Sort -4, 2, m in decreasing order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9346 by 94.\nAnswer: -4673\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152\/7 - -22. What is the smallest value in 0.3, m, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1474 divided by 22.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 61 = 4*l, 0 = -4*l - 0*f - f + 65. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 + 12 = 0. Let v(l) = -l**2 + 3*l - 3. Let n be v(2). Let h = n - k. Solve 4*x = -12 + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2810 + -1122. What are the prime factors of p?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9508044?\nAnswer: 2, 3, 7, 13, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96214620?\nAnswer: 2, 3, 5, 101, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00626834 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*2*sqrt(704) - (5*(sqrt(132)*2 - sqrt(132)))\/sqrt(12)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -936, -918, -882, -822, -732, -606?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110 + 22?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 39 = -3*n, -12*n + 6*q - 462 + 618 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 25, 50, 77, 100?\n\"Answer: -i**3 + 10*i**2 - 6*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10581, 42323, 95229, 169299, 264533?\n\"Answer: 10582*y**2 - 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 49983*m + 199934. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + x - 308 = 0, 310 = 2*u + 2*x. Let y be (-2 - -1)*-2*-1. What is the units digit of y\/3 + u\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**13*t*t*t)\/t*t)\/(t*t**11))**(-5))**(19\/2))**(-4\/25) assuming t is positive.\nAnswer: t**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2118395 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2864 - 2864. Which is greater: z or -1\/96?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*y - 11 = y, -2 = 4*a - 2*y. Suppose 0 = -4*v - 0*v + 16. Let h = v + a. Calculate the lowest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -626?\nAnswer: 626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/4 - 1 - 1216\/1792. Let w be (-3)\/6*(0 + -3). Which is the third smallest value? (a) w (b) v (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -1\/4 (c) 2806 (d) 24\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73636.8689 rounded to the nearest 1000?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/8, 25, -4, 11, -8\/5 in increasing order.\nAnswer: -4, -2, -8\/5, -1\/8, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n**5 + n**4 - 4*n**3 - 46*n**2 - 4*n - 4. Let a(b) = -b**5 - b**3 - b - 1. Let w(r) = 4*a(r) - f(r). Find the third derivative of w(y) wrt y.\nAnswer: -1500*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**2. Let j(y) be the third derivative of 1\/60*y**5 - 2*y**2 + 0*y**3 + 0*y**4 + 0 + 0*y. Determine q(j(l)).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 36, 59, 92, 135, 188, 251?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 1. Let a be o(-2). Let j(c) = c - 3. Let f be j(a). Solve 0*h - f*u = h + 7, 4*h - u + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.1, -8, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2\/11))*g*g)\/(g**4\/g)*(g*g**2)\/g**5*(g\/(g**(1\/4)\/g))**(-13)*(g**(-1\/2)\/g)\/(g**(-6)\/g) assuming g is positive.\nAnswer: g**(-899\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 21. Let d = p + 8.9999978. Round d to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + 10*a**2 + 2*a + 12. Let l(t) = -4*t**3 - 11*t**2 - t - 13. Let j(m) = -4*l(m) - 5*o(m). Let f be j(7). Is 10 a factor of (13 + -3)*(0 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-27 + 7 + 9) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1552 + 7f2?\nAnswer: -d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, 0.2, 0.\nAnswer: -1, 0, 0.2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f - 2*f**2)*((0 + 0 - 2)*(7 + 4 + 4)*(172*f - 145 + 145) - 4*f + 4*f + f) in the form i*f + h + s*f**3 + g*f**2 and give s.\nAnswer: 10318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, l: 4}. Give prob of sequence ljll.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1387136874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (498\/5)\/((-4)\/(-20)). Let y = -59 + k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 4214?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -92. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(10 + 4). Suppose 5*s - m + 17 = 0. Let o = 1 - s. Which is the smallest value? (a) -1\/4 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 91416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -2 in ascending order.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 11325*v - 2 = 11327*v, -8*y = 2*v + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 3, j: 2, s: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 81. Let d be r(14). Solve d*s - 24 = 11*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 849 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -121.06.\nAnswer: -6900.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 1, b: 5, x: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 - 3*g - 1. Let l = -1 - -5. Let b be z(l). Factor 0*m + 0 - 1\/3*m**2 - 4\/3*m**5 - 2*m**b - 3*m**4.\nAnswer: -m**2*(m + 1)**2*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306882.\nAnswer: 2, 47, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 6. Let d(a) = 35*a**2 - 3*a. Let l(c) be the second derivative of -c**4 + c**3\/6 - 43*c + 7. Give s*d(p) - 17*l(p).\nAnswer: -6*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 + 0*v**2 + 0*v**2)*(4*v + 0*v - 6*v) + 3*v**4 - 3*v**4 + 2*v**4 - 3 + 3 + v**4 in the form m*v**2 + p*v + h*v**4 + i + k*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 + 5.2. What is the second biggest value in -2\/15, 8, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*t + 2565 = 167, -t = -8*c + 19201. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/3791 - -3538\/3832701. Is l at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -15\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 2841408*o + 1009199927808.\nAnswer: 2*(o - 710352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 7 + 36)*(-g**3 + 5*g**3 - 5*g**3) in the form k*g**2 + q + d*g**3 + v*g and give d.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 3*a - 1. Suppose 4*u = 5*n - 267, 4*n = -4*u - u + 189. Suppose 0 = -4*g - 19 + n. Let v(h) = -5*h**2 - 8*h - 3. Give g*q(m) - 3*v(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 19\/4, -7, 4, 2\/9 in descending order.\nAnswer: 19\/4, 4, 2\/9, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x - 14 = 0, 2*l - 7*l + 85 = -5*x. Suppose 18*v = 4*v + 280. What is the remainder when v is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2 - -37)*-4. Suppose 3*i = w + 53. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212552341255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*o + 4 = 0, r + 6*o = 755 - 739 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 288454 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81847.1l to millilitres.\nAnswer: 81847100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -596, 3, 1, -1340, -1 in descending order.\nAnswer: 3, 1, -1, -596, -1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loj when three letters picked without replacement from {l: 5, o: 3, j: 5, w: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*p + 5071 - 5040, 14 = 2*p - 2*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Suppose t + 4*x = -3*t + 40, -4*x = -4*t + 16. Suppose 2 = 5*c + t. What is k(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.1, -57, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (5 + sqrt(14)\/sqrt(2)*6)**2) - (sqrt(112) + 0 - sqrt(7) - -5*(sqrt(175))**2)*-4.\nAnswer: 372*sqrt(7) + 5144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmememmmeememeeeem. Give prob of sequence emee.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 2\/81, 2\/7, 4, 5, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1783*a - 4. Let o be y(0). Let x(k) = k**2 - k. Let p be x(-6). Sort p, -1, o in decreasing order.\nAnswer: p, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/2, -0.139, -1\/6, 1603?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-15)\/(-25))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -b. Let n(l) = -b + 0 + 18*l**2 + l + 16*l**2. Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3976515 nanograms to grams.\nAnswer: 0.0000000003976515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 10 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)*i)**(2\/55))**(-10) assuming i is positive.\nAnswer: i**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 484937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44741\/32172 - 5\/2298. Suppose 2*r - 131 = -d, -r - 5*d + 63 = -2*d. Calculate the common denominator of z and ((-3)\/50)\/(r\/(-385)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 5*v - 10. Let h(y) = -3*y**2 + 3*y - 11. What is -3*h(g) + 4*k(g)?\nAnswer: g**2 + 11*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - (-288)\/(-270)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - 9 + 3 + 3*s**3 + 4 - 2*s**2. Give b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 7*l**2 - l - 1. Let s be z(-7). Let t = s - 5. Let a = -3 + t. Let o(w) = -w**3 - 2*w**2 - w. What is o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 43*w**2 + 347*w - 8911. Calculate d(40).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12468 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 4308 + 14179. List the prime factors of h.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*h + 2, 0 = -h + 5*u + 31 - 14. What is the third derivative of -14 - 172*z**5 - z**6 + 149*z**5 - 2*z**4 + h*z**2 - z**6 + 2*z**4 wrt z?\nAnswer: -240*z**3 - 1380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 8) to base 13.\nAnswer: 1b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 + 1.65. Let l = 2 - x. Let q = -0.3 + 0.5. Which is the third biggest value? (a) l (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -27*y - 133. Let h be k(-5). Suppose 3*n + n - 48 = 0. Factor -5 - h - 1 - 60*l**3 + 13*l**4 + 64*l**2 + 3*l**4 - n*l.\nAnswer: 4*(l - 2)*(l - 1)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 7. Let v be c(-6). Is (-2)\/(-11) - (-207)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 - (-15236)\/(-112). Let w = k - -136. Which is the third biggest value? (a) -11 (b) w (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 7*k**2 + 10*k + 36. Let w be f(-6). Calculate the greatest common divisor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995702 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36118, 36209, 36360, 36571?\nAnswer: 36842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 9. Let q be x(3). Sort 1, q, -28 in decreasing order.\nAnswer: q, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 25.935. Round l to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -7, 3, -4 in increasing order.\nAnswer: -7, -4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffhhvaozahz. Give prob of picking 1 z and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 27, 33, 41, 51?\n\"Answer: b**2 + b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40542 divided by -6.\nAnswer: -6757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*o = 2*y - 182, -5*o + 36*y = 45*y + 170 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-36)*10*12\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21598509?\nAnswer: 3, 83, 127, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:18 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.62 - 0.38. Let w = o + -5.5. Round w to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**2. Let l(x) be the first derivative of 23*x**3\/3 - 1439. Calculate b(l(r)).\nAnswer: -7935*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from dvzzzvvdzzvd.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 5, -15\/296, -4, 228?\nAnswer: -15\/296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(342)*1*-1)\/sqrt(6))\/((-2*sqrt(24)\/sqrt(4))\/sqrt(2)).\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.2748ml in litres?\nAnswer: 0.2262748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*a = -25, 7 = -5*u + 4*a - 25. What is the second biggest value in -3, 0.01, u, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 155\/145 - (-12)\/(-174). What is the biggest value in 8, 0.02, 1\/2, j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, 2*o + 36 = 6*o + w. Let h(k) = 31*k**2 + 33*k + 23. Let m(b) = -14*b**2 - 16*b - 12. Let g(a) = o*m(a) + 4*h(a). Factor g(n).\nAnswer: -2*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417504 is divided by 13902.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17448 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 - 587 - 51*t + 53*t + 293 - 384*t**2.\nAnswer: -384*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915\/135 - 8 - (-4)\/(-36).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (5 + (1 - -3) - (15 - (8 - -1))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (17 - 5) - 184\/30\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1914172\nAnswer: -5\/1914172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044 (base 5) to base 2.\nAnswer: 10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 32*r**2 - 202*r - 614. Let g be a(-37). Let m be 15\/4 + 3\/12. Let p(i) = -i**3 + 5*i**2 - 3*i. Let n be p(m). Solve j - n*j = -g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -65*n**3 + 10*n**2 + 8*n + 42. Is 16 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w - 64. Suppose 2 = -c - 0*c + p, 5*p - w = 3*c. Let u(x) = -x**2 - 5*x - 1. Let q be u(-3). Sort q, c, 4 in descending order.\nAnswer: q, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 439 = 2*d, -12*d = -8*d + 5*c + 875. Let r = d + 216. Solve 2*y + r = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + s + 0*s)*(3 - 3 + 2*s) + 6*s**2 - 4*s**2 + 8*s**2 to the form f + n*s**2 + w*s and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - 0) - (8 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11305\/572 - -2\/143. Find the common denominator of y and 43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = 5*d - 97, -5*d - f = -140. Suppose 58 = -2*g + 1852. Suppose 18*z - g = 3801. Calculate the highest common factor of z and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72) - sqrt(72)*-4)\/sqrt(3))\/((sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*2 - sqrt(72)) - sqrt(72))) - sqrt(72))\/sqrt(9)).\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216063*r**2\/5 - 4969452*r\/5 - 69\/5.\nAnswer: -3*(r + 23)*(72021*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*u - 861*u - 40 + 8*u**2 + 632*u + 43.\nAnswer: 8*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8743, -35055, -78911, -140311, -219255, -315743, -429775?\nAnswer: -561351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 6236*r + 4*r**2 + 6238*r + r**3. Determine o(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(3) + -1 + sqrt(3)))**2 + -4 + 4 + (1*-2*sqrt(108)*-4*4)**2.\nAnswer: 192*sqrt(3) + 110928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 9*z + 1. Suppose 85*r - 53*r - 160 = 0. Let y(j) = j**3 - 4*j. What is r*y(s) + 2*t(s)?\nAnswer: s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.25*6\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 31*f + 5. Let t(g) = -g**2 + 21*g - 3. Let m(p) = -5*s(p) - 7*t(p). Let z be m(3). Do -7 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20021120000 (base 3) to base 14.\nAnswer: 33090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 92282544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 2. Suppose -p*k - 2*k = 16. What are the prime factors of 12 + k + (-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.253 + -5.253. What is the smallest value in t, -1, 1\/2, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2459 + 1670 - 4129 - 7*o - 3*o - 2*o**3.\nAnswer: -2*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 7*r**2 + 3*r - 9*r**2 - 2*r**3 + 4*r**2 to z*r**3 + u + j*r + t*r**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -4)\/(4\/2). Suppose a = 2*m - 4*l, 3*l - 2*l + 36 = 5*m. Suppose 5*t - 25 = -0*t. What is the lowest common multiple of t and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 158. Suppose 4*x - n = 76. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/618 and -149\/16000446?\nAnswer: 1648045938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 2. Let u be s(-3). Suppose 25468 - 26197 = 243*c. Let p(t) = t**3 + t**2 + 1. Let k(l) = -5*l**3 - 2*l**2 - l - 3. Calculate c*p(z) + u*k(z).\nAnswer: 2*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -28*t + 286. Let i be z(10). Let s(d) be the third derivative of -1\/300*d**i + 0*d**5 + 7*d**2 + 1\/20*d**4 + 0*d + 0 - 2\/15*d**3. Factor s(a).\nAnswer: -2*(a - 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 19*z + 4. Let s be l(0). Solve -s*q - a + 16 = 0, -3*q + 4*a = q - 36 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*h**3*z - 4*c*h**2*z**2 - 3*c*h*z + 101*h**3*z**2 + 6*h*z**2 - 3*h*z wrt h?\nAnswer: 12*c*z + 606*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12518984.876656 + 12519093. Let t = 127.1233364 - r. Let f = t - 19. What is f rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(((u*u*u\/(u*u**5)*u)\/u)\/u)*u**(-3)\/u*(u**1)**(-2\/3) assuming u is positive.\nAnswer: u**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -452601*j**5 + 6*j**4 + 3*j**3 - 1287303*j**2 - 5 wrt j?\nAnswer: -27156060*j**2 + 144*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001011010001 (base 2) to base 9.\nAnswer: -147535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 58*z - 1256. Give k(16).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28063646, -56127292, -84190938, -112254584, -140318230, -168381876?\nAnswer: -196445522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-197549)\/(-16) - (-69)\/368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5843\/2 + 2921. Suppose -2*d = 3*d - 25. Suppose 10 = 4*w - 9*w. What is the closest to 0 in d, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 71 + 75 - 140 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -394.738 to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 38340.57\nAnswer: 920173.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {k: 3, b: 1, q: 1, w: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1.306531.\nAnswer: -0.3919593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -83\/9, 1112?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) - ((sqrt(1620) - 1*sqrt(1620)) + sqrt(1620) - sqrt(1620)))\/(sqrt(10) - (1*sqrt(360) + sqrt(10))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/(-6))\/(8906\/183). Let g = t + -101\/292. Let i = -1\/53 - 733\/477. Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12*m**3 + m**2 - 9*m - 4. Let o be b(9). Let s = -1752 - o. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669950 is divided by 669945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**2 + 6*k + 7. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 55*n - 65. Let y be o(8). What is the third derivative of -5*i**3 - 276*i**2 + y*i**2 + 90*i**3 wrt i?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 - -292. Which is greater: c or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 14*r + 44*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60807*w**3*x + 5*w**3 + 8401 wrt x?\nAnswer: -60807*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*x = 250*x + u - 18662995, -4*u - 18663020 = -3*x. What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 - -286. What is the second smallest value in k, 4\/7, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675*l = -m + 1672*l - 8, 4 = 3*m + 2*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5304*i = 5278*i + 442 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 5 = 3*s. Suppose -s*i + 5*c = -0*i - 315, 4*i = 3*c + 255. Let x(a) = 2*a**2 - 39*a - 287. What is the remainder when i is divided by x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49.649 or 5?\nAnswer: -49.649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:43 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-99 - -95) + (-1 + -1 - -661) and 2358?\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 21 = 3*p - 7*p, 2*h + 3*p - 14 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 36 + -1 + 1. What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476764.6 millimeters in centimeters?\nAnswer: 47676.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3757 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 84*o + 5. Let c(h) = h + 1. Determine 15*c(l) - 3*m(l).\nAnswer: -237*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -164, -3, -5, 5, 671 in descending order.\nAnswer: 671, 5, 0, -3, -5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(297\/(-44)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2, -0.06, 0.0696?\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 3)*(-3)\/((-9)\/51). Suppose -k + 25 = x. Is (42\/k - -1)\/((-2)\/(-8)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2296\/(-410)*30\/(-192).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -352571\/55 or -6409?\nAnswer: -352571\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 50 = 2*s, s = -3*v + 6*s - 64. Suppose -678 = 3*w - 0*w + 3*o, 4*o - 912 = 4*w. Let b be w\/(-9) - (-4)\/v. Solve 4*l + l + b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/q**(-2))\/q))\/q)\/q)**(-11\/4) assuming q is positive.\nAnswer: q**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 70*k - 1125. Let v be q(-25). Solve v = 14*b + 63 + 21 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllltltllll.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1295\/1813 + 16\/(-42). What is the second biggest value in -3\/5, 1\/4, 3.9, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12550844 at most -12550856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.033 + -412.967. Let k = 412.99999823 + w. What is k rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - 14*s**2 - 7*s - 100. Let x(d) = -d**3 + 4*d**2 + 2*d + 33. What is -4*b(h) - 14*x(h)?\nAnswer: 2*h**3 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29761 + 29890. What is the fourth biggest value in 1.5, 3, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/8*(-8)\/140*-14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.4115 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -f + 62, -f + 4*o + 11 = -16. What is the remainder when f is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -126. Solve -c - 22 = -i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*(w**1\/w)\/w)\/w)\/w)**(-3\/20)*(w*w\/(w*w*w*w\/(w*w**1*w)))**(-20))\/(w**5\/(w*w**(-2))*w\/(w\/(w*((w**(-1)*w)\/w)\/w))*w**0*w) assuming w is positive.\nAnswer: w**(-517\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 63 = 83 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1127\/51 + 370\/17. Which is the closest to 3\/4? (a) -1 (b) r (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 18*p**2 + 15*p + 38. Let s be q(17). Suppose -120 = -s*b + 24. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e23d (base 16) to base 12.\nAnswer: 29625","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 66*j**2 - 105*j + 27. Let z(m) = -5*m**2 + 8*m - 2. Calculate -2*d(i) - 27*z(i).\nAnswer: 3*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l - 26 - 9 + 13. Suppose -o = 8 - 22. What is the least common multiple of s(-4) and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1214 + -1205. Solve 5*o - 1 = h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -165456 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 923 and 663?\nAnswer: 47073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**2 + 8 - 8)*(-3 - 2*t + 3 + (2 + 0 + 0)*(0 + 2*t + 0)).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 2*l**2 + 4*l - l. Let j(x) = -3*x**2 - 7*x. Let z(h) = -4*j(h) - 7*n(h). Let d(v) be the first derivative of v**2 - 2. Determine z(d(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 17*n**2 - 16*n + 10. Calculate the least common multiple of 1 and s(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*g - 27 + 10 = 0, -2*v - 5*g = 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 - 37*v + 352. Give c(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 13552315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 7)*(-4)\/6. Let y be v\/18 - (-26)\/6. Let m = 1 - -1. Solve -3*b + d = 12, -b + d = -m*d + y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23 + 23 + 5*w - 19*w + 13 wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 1. Let f be h(0). Let m be (3 - 3) + 3944\/(-36). Let z = -110 - m. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*n - 4, -4*n - 9466 + 9447 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*g = -18 + 5, 4*n - 9 = -g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 379, 376?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 1. Let m be a(-2). Let i be ((-2)\/4)\/(1\/2). Let h = m - i. Is -1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + r**2 - r**2 + (2 - 4 - 17)*(0*r**4 + 2*r**4 - 4*r**4) + 2*r - 35*r**4 + 28*r**4 + 48 - 47.\nAnswer: 29*r**4 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5228*q - 73167. Determine m(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 42. Let l be y(18). Find the common denominator of -59\/38 and (-466)\/(-96) - 2\/l.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/5, 166, 1\/10, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1.1. Let n(x) = -7*x + 93. Let b be n(13). What is the nearest to 1\/5 in p, 1\/3, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l. Suppose 3*w - p = 5, -5*w - 4*p + p = -13. Let x(c) = 0*c**2 + 4*c**w + 5*c**2 - 7*c**2. Determine s(x(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 1, -44\/50139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*v + 10*v - 206 + 5*v + 5*v + v wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12)*0 - -5. Solve 0 = -f + 2*f + 3, 0 = u*v - 5*f - 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:27 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)**(-4\/9)*(g**2*g)**(-49))**(17\/3) assuming g is positive.\nAnswer: g**(-7514\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 548909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:45 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*v + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k. Let u(n) = n. Let a(v) = o(v) + 6*u(v). Let i(s) = -24*s**2 + 18. Let q(b) = 13*b**2 - 10. Let p(g) = 5*i(g) + 9*q(g). Determine a(p(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**4 + 2*b**4 - b**4 + (-3 + 2*b**2 + 3)*(-2*b**2 + 2 - 2) + b**4 + 0*b**4 + 0*b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 8 - s**3 + 0*s**3 - 2*s + 2*s**3 - 6*s**2. Let c be v(6). Is 5 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o**3 - 3*o)*(-o - o**2 + o) - 2*o**5 + 0*o + 0*o - 10*o**5 + 8 - 8 - 4*o**5 - 2*o**5 + 5*o**5 + 119*o**2.\nAnswer: -14*o**5 + 119*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-105))\/(32\/112). Which is the smallest value? (a) 7 (b) -2\/5 (c) o (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 40*i + 149*i - 34*i)*(-2*i**3 + 2*i**3 + 2*i**3) as g*i**2 + u + o*i**4 + q*i**3 + y*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969269762.\nAnswer: 2, 19, 3221, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 51\/4*l**2 + 71 + 1\/2*l**3 + 45*l. What is w in s(w) = 0?\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8441371 meters?\nAnswer: 84.41371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 4. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h + 561*h = 69*h - 224*h + 31140 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5)\/((a*a*a**(2\/19)*a)\/a))\/(a**(4\/11)*a*a\/(a\/a**(-5))) assuming a is positive.\nAnswer: a**(1574\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 9*l**2 - 8*l - 3. Let w be r(-8). Let d be ((-3650000)\/6)\/(w\/36). What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 4. Let y be (4 + 1)*3\/b. Let f = 2 - y. What is the highest common factor of f and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.44 and -12.9.\nAnswer: -12.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 309 and 310 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, r: 2, y: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 657 and 855044109.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x + 1069. Let z(k) = 5*k + 1. What is p(o) + 2*z(o)?\nAnswer: 2*o + 1071","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - c = -7*f + 13, 19 = 3*f + 2*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -3*n + s, 0 = -2*s - 4. Solve -4 = n*h + 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3471, 6941, 10411, 13881, 17351, 20821?\n\"Answer: 3470*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/54*-20*(-15)\/(-25)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/3)*i**(-2\/13))\/(i**(1\/2)*i\/((i**(-2)*i)\/i)) assuming i is positive.\nAnswer: i**(-181\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 7*b**2 - 3*b + 22. Let m(t) = 1 - 9*t - 1 + 3 + 10*t. Let s be m(-10). Is i(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 62, 120, 218, 368, 582, 872, 1250?\n\"Answer: 2*i**3 + 2*i**2 + 10*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 6151?\nAnswer: 24604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 104.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n)*(2 - 4 - 5 - 499 - 1904 + 280 + 2 - 1 + 0 + (0 - 2 + 0)*(0 + 2 - 1) - 2 + 3 + 1 + 2 - 1 + 0).\nAnswer: -2128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12)*57*-1. Let k = u - -21. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236003878 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 680*r**6\/3 - 10*r**3\/3 + r**2 + 30*r - 3244. Find the third derivative of l(k) wrt k.\nAnswer: 81600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 24. Let t be h(11). Let x be t\/10 + (-439)\/(-5). Suppose -5*r - 3*s + x = 0, -2*s = 2*s + 16. What is the remainder when 157 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 181*u - 57*u - 38 = l + 61*u, 2*u + 25 = -13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**0*s)\/s**4)\/(((s*s**(-1\/2)*s*s)\/s)\/s**(-2\/3))*s\/(s*s**(-1\/4)*s)*s**2*(s**(-1))**15 assuming s is positive.\nAnswer: s**(-191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/160 and -61\/232.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5\/2, 3\/61 in increasing order.\nAnswer: -3, 3\/61, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 58\/5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*a**2*w**3 - 5*a**2*w - 55*a**2 - 48*w**3 + 2*w**2 + 329*w - 1 with respect to a.\nAnswer: 62*a*w**3 - 10*a*w - 110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-42)\/(-8))*(-99)\/(-6). Suppose -5*v + 2*r - m - 2 = 0, 5*r = -2*v + 2. Let y = -7.9 + 8. Which is the nearest to v? (a) y (b) -3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897408 and 22401?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34818)\/(-136785) - 10\/22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 + 452. Let k(n) = w*n - 4*n - 8*n - 6*n - 10*n. Let a(o) = 48*o. Give a(k(i)).\nAnswer: 144*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-6 - (-7 + 0 + -1 + -1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 8:39 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let d = j + 91. Let f = d + -92. What is the smallest value in 1.9, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -170. Let m be 1\/(-2)*(-264)\/(b\/(-10)). What is the highest common factor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7506, 1\/19, 0.4, -3 in decreasing order.\nAnswer: 7506, 0.4, 1\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, a: 2, q: 2}. Give prob of sequence zqs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -34. Let b = -0.0031405 + -28.9959795. Let y = v + b. Round y to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/30 + w**4\/6 + w**3\/6 + 14*w. Let i(v) be the second derivative of a(v). Let y(f) = 9*f + 9. What is 13*i(t) - 6*y(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(325) + 1 - sqrt(78)\/sqrt(6)*-4) + -3).\nAnswer: -6 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 7. Let m be z(-4). Let o = m + -11. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose 3*k = -x*t + 215, 5*k - 17 = -2. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 - 6*j + 6. Let r be d(3). Let h(k) = k**2 + 14*k + 9. Let t be h(r). Let y(v) = -2*v**3 - 19*v**2 + 22*v + 16. Is y(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1554 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 + 191 + 173 + 128)*(3*i - i - i).\nAnswer: 572*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 divided by 38.\nAnswer: -259\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174415466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 8*s + 11. Let j(k) = 3*k - 4. Let f(v) = -4*h(v) - 11*j(v). What is the remainder when 63 is divided by f(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5484, -5498, -5526, -5574, -5648, -5754, -5898?\nAnswer: -6086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 + 4*f**2 + 19*f**2 as y*f**2 + s + a*f and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 106\/4 + (-3)\/(-6). Suppose 2*m = t + y, 3*m + 3*t - 31 = 14. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1687520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/8*(-50)\/(-700).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 6*t + 39. Let q be (t\/(-3))\/(4\/(-164)). Solve -13 + q - 24*c + 2*c**3 - 60 = 0 for c.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 + 3*y - 104. Give o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37709 - -0.38. Round j to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-117)\/(-36) - 3 - (-5051)\/4.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/25 - (-2)\/5. Suppose f = 3*k - 485 + 146. Is k + (-2)\/(-4)*0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and -2.006726387?\nAnswer: 29.006726387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 8 + -10 + 4 - 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-13))\/((-62)\/(-403)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + 22*b - 5. Calculate the remainder when h(5) is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14856 - 14856. Solve t = -k - 4*s - 20, -2*k - 406 = 3*s - 391 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110 (base 2) in base 9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u. Let b(w) = -w**3 - w**2 - w - 1. Let d(g) = b(g) - h(g). What is the derivative of d(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75584 (base 14) in base 5?\nAnswer: 33034403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611701.\nAnswer: 3, 290189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5.7. Suppose 2*b + 7*o = 3*o + 122, 167 = 3*b - 2*o. Let g = b - 61. What is the closest to x in 0.5, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -36*p**3 + 6*p**2 + 5*p - 7. Let y be l(-3). Suppose y + 1 = 5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 113560?\nAnswer: 3066120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.4 (b) 0.5 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -33*x + 17*x + 24*x - 18. Let d be w(-5). Let a = 63 + d. Solve -2*g - 21 = 3*r - a*g, -g + 17 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 45 + 15 = 0. Is (6\/2)\/u*238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 1 - 1 + (28 + 79 - 37)*(0 + i + 0) - 1 - 2*i + 1 to m*i + c and give m.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6505056*k**2 - 6505056*k**2 + 34*k**3 + 11*k**3.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -540*k. Let y(j) = -15*j + 9858. Determine y(z(p)).\nAnswer: 8100*p + 9858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - (2 + (-1 - 1))) + -16596 + 16598.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/4 + 2*r**3 + 3*r**2 + 6*r + 1. Suppose -3*p + 2 - 17 = 0. Determine g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 161*y - 1444. Give c(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 15. Let v be d(12). Let r be (v\/(-2))\/(4\/8). Let u be ((-3)\/(-4))\/(1\/(-2)). Which is the nearest to 0.1? (a) -0.1 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 4, z: 4, n: 6, s: 1}. Give prob of picking 2 z, 1 n, and 1 w.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2550 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/440*(1 + -7 + 0). Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8050254 divided by -1341709.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249 divided by 4?\nAnswer: -1249\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-32))\/((-8)\/(-320)*-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + (-213)\/69*-1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*u + 4*l, 4*l = -u + 3*u - 16. Suppose -2*z - 3*z + 20 = u. Sort z, -2, 5 in ascending order.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkknnnk. What is prob of picking 1 n and 3 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1261, 1264, 1279, 1312, 1369, 1456, 1579?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 2*l - 32, -3*l - 30 = 2*t. Let r = t - -18. Let v be 2 + (r - (0 - 2)). Solve -v*i - 12 = -2*p, -p - 3 = i - 2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1965945 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455631 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56.9 + 51. Let p = c + 5.8. Let a = -2 + 0. Is a at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18720 by -416.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 32471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2*r**3 + 2*r**5 + (2*r**2 - r**2 - 3*r**2)*(-1 + 1 + 5)*(2*r**3 - 4*r**3 + r**3) - 2*r**5 + 0*r**5 - 2*r**5.\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bomd when four letters picked without replacement from dttbqbomtbtbt.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -421, -844, -1267, -1690, -2113, -2536?\n\"Answer: -423*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**8))\/(p*p*p**(-10\/9)) assuming p is positive.\nAnswer: p**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11.9. Let a = 1033 + -1032.7. What is the smallest value in b, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 57, 0, 521\/5, 6, -0.4.\nAnswer: -0.4, 0, 0.2, 6, 57, 521\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 513976 and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377192 greater than 377154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 4*h, -3*c - 3*h - 5 = -5*c. Let f(a) be the third derivative of -a**6\/24 - a**4\/24 + a**3\/6 - 20*a**2. What is f(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 14*a - 8. Let w be z(4). Solve -3*j - 15 = -w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102368 or -499?\nAnswer: 102368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/45*(-2)\/(-3). Which is the biggest value? (a) 0 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*a**3*k**4 + a**3*k**2 + 3*a**3 - 11*a wrt k?\nAnswer: 84*a**3*k**3 + 2*a**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 6. Let m be i(-6). Let x be ((-792)\/(-27))\/(1\/m). Let b = 765 + x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = 0, t + t = -5*d + 2. Let h(g) = -g**3 + 8*g**2 + g - 3. Let r be h(8). Solve 0 = d*z - r + 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6509 and 2044447?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -82*w**2 + 38*w**2 + 46*w**2. Let b(u) = 13*u**2. What is b(j(x))?\nAnswer: 52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*i**5 - 544*i**4 - 57*i**3 + 23142523*i**2 wrt i?\nAnswer: -840*i**2 - 13056*i - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.5, -0.4, -25, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(437\/(-38)))\/((-4)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {b: 9, r: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-840)*8)\/(3*5\/35)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + -2*sqrt(17).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 0.45742156321.\nAnswer: 0.15742156321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:07 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 - 445. Suppose 770 = 61*i - q*i. Calculate the smallest common multiple of i and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007770011 rounded to seven decimal places?\nAnswer: -0.000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n**2 + 11*n + 11. Let t(p) = -10*p**2 - 6*p - 6. Calculate 11*t(g) + 6*u(g).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4 = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*285\/38. Solve -8*s = d*w - 5*s - 7, 2*w + s = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.3929 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven fifths of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j - 4*j. Let a = -683\/820 + 274\/41. Calculate the common denominator of j\/10*(-62)\/(-16) and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21\/34 (b) -4 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 41*g**2 + 2*g - 2. Let j(m) = -247*m**2 - 13*m + 13. Suppose 2*x = -3*o + 38, 11*o - 12*o + 4 = 0. Calculate x*t(l) + 2*j(l).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49518933913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 514928835 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916324387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-3900)\/550))\/(22\/18)*16\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21910606 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxxjjttjjtx?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = -5*j + 385, 4*d - 420 = j. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 21083099\nAnswer: 13\/21083099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eebe when four letters picked without replacement from ebbbbbbebbbbbbebbe?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36185*-3.\nAnswer: 108555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 103*a**2 + 1366*a + 10806. Determine d(-89).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66712881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/7 (b) -1\/3 (c) -8.8 (d) 10\/31 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-4)\/(-8)) - (8 + -12). Solve -p*w = -3*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 446, 448, 450, 452?\n\"Answer: 2*h + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 14*t**2 + 13*t + 6. Let c be u(-13). Suppose c*m + 5 = -1. Let f be (m - (-12)\/10)*(-30)\/(-6). Solve 0 = -5*v - f - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-42))\/(2 - 44\/24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -1\/6*z**3 + 0*z**2 + 3*z - 1. Let h(q) be the first derivative of m(q). Let j(b) = 2*b. Calculate h(j(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*s + 3*s - 33, s - 3*h = 18. Suppose -4*d = -s*d + 1075. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2. Let k(c) = -6*c**2 - 5. Give t(k(u)).\nAnswer: -108*u**4 - 180*u**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:54 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrssrsosoors. Give prob of sequence rssr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689727 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 519511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3*c - 12, 2*h + 32*c + 18 = 36*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -176026 divided by 6?\nAnswer: -88013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 3\/41, -5 in increasing order.\nAnswer: -5, -0.5, 3\/41, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 + 2*p - 1. What is x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/40 and -13\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let t(m) = -4*m**2 + m + 2. Give -6*r(c) + t(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20435 is divided by 6162.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570 and 58132780.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 10350?\nAnswer: -10353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 227. Let s = u + -99. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52852 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 - 9*y - 2. Suppose -6 = -4*m + 18. What is the smallest common multiple of r(-6) and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -63.044338274943?\nAnswer: 63.344338274943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.826 and -28.8?\nAnswer: 27.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b - 15. Let i(w) = -2 - 6*w**b + 7*w**2 + 6*w**2 - 3*w**2 + 5*w**3 - 8*w. What is i(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 162 = -38 + 90 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 + 92.9999918. What is b rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151375041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9 (b) 8\/11 (c) -24 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260092822 to the power of 1\/2, to the nearest integer?\nAnswer: 16127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -281 in 0.06, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d10a - 2?\nAnswer: -1d10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1903856\nAnswer: 5711568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 14) to base 15\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Let c(a) = -a**3 + 4*a**2. Let l be c(j). Find the first derivative of 5*w**2 - 6*w**2 - 18*w**2 - 14*w**2 - l wrt w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b - -6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -7\/951045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 400674763467 + 0.08.\nAnswer: 400674763467.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Suppose -2*k - 4*q + 8 = -4, -4*k = -4*q. Let y be l(k). Solve y*n - n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 405*f**2 - 726*f + 32244. Give q(-403).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 5 (c) -12023 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let p(u) = 15*u**2 - u - 1. Let o(j) = j**2 + 6. Let a be o(0). Let b(r) = a*q(r) + p(r). What is the units digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 12*y + 9*y - 45*y + 4*y + 12*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30669721*b + 8721924 wrt b.\nAnswer: 30669721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5041 or 5042?\nAnswer: 5042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 0*x**3 - 32\/105*x**7 + 0*x**6 + 10 + 5\/3*x**4 - x**2 - 1\/30*x**5. Find the third derivative of u(f) wrt f.\nAnswer: -1536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 3. Let c be v(-3). Let x = -17 - c. Do -4 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 7808 = 22759. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 6. Let v(d) = -35*d - 31. What is -11*u(x) - 2*v(x)?\nAnswer: -7*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from llnllllllllnlllllll?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0 + 0 + (0*t - 4*t + 2*t)*(-1 + 1 - 2) + 2*t - 1 + 1 + 0*t - 2*t + t + (0 - 4 + 6)*(-4*t + t + 2*t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*n. Let q(y) = -n*y - 2*y + 3*y. Let x(g) be the second derivative of -g**3\/6 - 71*g. Determine x(q(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-1\/27)*y)\/y)*y**21*y)**(-4\/7) assuming y is positive.\nAnswer: y**(-2488\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 8.1. Let m = -8 + r. What is the closest to m in 1\/2, -3, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l + 35 = 43*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445321\/40 + 11131. What is the common denominator of r and -71\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -199. Let u = 2 - -1. Let w = -38\/7 + 176\/35. Which is the closest to -1? (a) w (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240 + -237. Which is the closest to -1? (a) -4 (b) g (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + -1 - (2 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376765380, -376765378, -376765376?\nAnswer: -376765374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, t: 1, w: 11}. Give prob of sequence aw.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let q = 2 - 1. Solve 0 = -3*b + n*b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5800 + 203*n**3 - 10289*n**2 + 9897*n**2 - 196*n**3 wrt n?\nAnswer: 21*n**2 - 784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101000110001 + -111010111011?\nAnswer: 110101101101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a. Let h(u) be the second derivative of -u**3\/3 + 3*u**2\/2 - u. Let p = -131 + 128. Let o(q) = q - 2. Let i(g) = p*o(g) - 2*h(g). What is i(z(f))?\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18963*o**3*q + 205*o*q + 2*o - 2*q wrt o.\nAnswer: 113778*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -25*z**3\/6 - 12*z**2 - 3*z. Let x(n) = 25*n + 24. Let g(h) = 4*d(h) + 5*x(h). Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 3\/94?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(3\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let d(z) be the third derivative of 74*z**5\/15 + 2*z**2 - 22*z. Calculate d(o(y)).\nAnswer: 296*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from qbqkhkkqhqqhqq.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684982458.\nAnswer: 2, 3, 23, 1654547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 41. Suppose o*y + 3*q = 9, y - 15 = 4*q + q. Solve 3*u - 3 = 0, 4*k - 3*k + y = u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(7\/14). Let z = 6 - 0. Let h(l) = w*l + z - 6. Let g(d) = 3*d. Give g(h(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410 divided by 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -443503\/152 and -2919 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4*q + 46051*o**4 + 22*o**3*q - 2*o**2*q - 3*o**2 - 2*o*q - 10*q + 2005 wrt o.\nAnswer: 48*o*q + 1105224*o + 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**4 + 23*t**2 - 5 + 20*t**2 - 71*t**2 + 30*t**2 + 0 to the form h*t**3 + b*t**2 + o*t + f + z*t**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46231*q**2 - 37018*q wrt q.\nAnswer: 92462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3096 and 1935.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrlllklklr. Give prob of picking 2 k and 1 r.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42048326\/327 + -128588. What is the common denominator of -65\/6 and h?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/((c**(-3\/5)\/c)\/c)*c*c)*c*c**(1\/8))\/(c\/((c\/(c\/(c**(2\/9)*c*c*c))*c)\/c)*c*c*c*c\/(c*(c**5*c*c)\/c*c)*c) assuming c is positive.\nAnswer: c**(-91\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -7) + -1006 + 937?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 17*c + 120 = 0. Suppose -2*q - 8 + c = 0. Let a(t) = 146*t**3 + t - 1. What is the smallest common multiple of q and a(1)?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -39. Suppose 0 = 5*k - l, 3*k - 17 = 3*p + 7. Let o be -6*3*(-4)\/(-24). Put p, o, 6 in ascending order.\nAnswer: p, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.9 - 17. Which is the closest to o? (a) 1\/3 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:22 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 9*g**2 + 2*g - 8. Let z be k(9). Let c be 1*(-16)\/6*270\/36. Let v be (c\/7)\/(16\/(-616)). Calculate the highest common divisor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1293 + 1293.0007482. Round r to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -9*z**2\/2 + 2*z - 5. Let o be s(-7). Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10605171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*z = -11 - 7, 2*f + z + 46 = 0. Let a be -5*f\/(-15)*-1. Suppose 0 = 2*v - 3*v + a. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/4 + 11*l**4\/8 - 461*l**2. Let h(i) = -4*i - 94. Let t be h(-24). Let z(m) = -m**2 - 2*m. Determine t*n(w) + 33*z(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7228110 to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p - 10271 - 15379 = 0. Let v = p + 678. Solve z = 4*d + 18, -4*d - 5*z = -v*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**2 - 1\/150*f**5 - 1\/15*f**3 + 0 - 1\/30*f**4 + 0*f. Factor w(z).\nAnswer: -2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 6. What is l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 4205202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*v = -333*v. Let p = 0 + 3. What is the closest to v in -4, -0.07, p?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7292\/6775 + 1\/271. Find the common denominator of w and -119\/110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h + 15*h**2 + 55\/24*h**4 + 0 + 41\/6*h**3 + 1\/10*h**5. Is a(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/3 + 5238398*b\/3 + 6860203401601\/3 = 0. Calculate b.\nAnswer: -2619199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-155) + 3594542\/52886.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34099 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(5130\/3800)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/8 - 3039*g**3\/8 - 131169*g**2\/2 + 33018489*g\/2 - 48927186 = 0. Calculate g.\nAnswer: -574, 3, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*d = -12, -2*m + 4*d = -0*m + 22. Let y(c) = -14*c**3 + 2*c + 1. Is 2 a factor of y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -681*p + 292. Is u(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312320211 (base 4) in base 10?\nAnswer: -749093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = -15. Let a = p + 2. Suppose x + 4*l - a = -0*x, 0 = 3*x + 3*l - 12. Is 3 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4592?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*s + 790 = -2396 + 56 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/210 + h**5\/60 + 13*h**2. Suppose r(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 628740414.\nAnswer: 1257480828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/49)\/((-1221)\/14245)*(-105)\/20\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4683 and 11623101.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 17. Let q be p(8). Let j = 2 - 1.8. Which is the smallest value? (a) j (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 316*n**2 - 238*n**2 + 478*n - 476*n as v*n**3 + h*n**4 + l*n + x + c*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/3)\/2)\/(5*(-86)\/(-25155)*-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u. Is 9 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1275, 2281, 3017, 3483, 3679?\n\"Answer: -135*l**2 + 1411*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 78, 1, -164, -447?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 13020?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 8*i**3\/3 - 3*i**2 + 8*i - 2. Let k be g(1). What is the highest common divisor of 65 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3114541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 150. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -522 + 2614\/5. Let i be 2\/4*2\/4. Sort i, 7, r, 1\/7.\nAnswer: 1\/7, i, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -203*w**5\/5 - 2*w**2 - w - 2857. Let p(q) = -3*q. What is p(r(v))?\nAnswer: 7308*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*f + 1, 2*f = -0 + 4. Let o(r) = -11 + 6*r**3 + 20*r**2 - 4*r**3 + 11*r - 9*r**2 - m*r**3. Does 22 divide o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028577949 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*v = 4*a + 419*v - 6, 51 = -a + 4*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -265\/821?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70362307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 6. Suppose 5*r - 3*r = -5*m + 14, 5*r = -4*m + 1. Let d be n(r). What is the derivative of -2*h**4 + 2 - 3 + d wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, 5, 4.\nAnswer: 1, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 2. Let p = -23 + 39. Calculate the least common multiple of p and v(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/415*3910\/102?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -98, -144, -190?\n\"Answer: -46*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1600 = -10*s. Let v = 153 + s. Which is the nearest to v? (a) 0.1 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638.98 * 1.43\nAnswer: 913.7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -4)*-1*(-6)\/(-3). Find the third derivative of 8*h**2 - 3*h**3 + 0*h**3 + z*h**3 + 58*h**2 - 22*h**4 wrt h.\nAnswer: -528*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 2. Let i be m(4). Let j = i - 3. Let x(u) = -57 + 36 - 2*u + 14. What is x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38681484.\nAnswer: 2, 3, 109, 29573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -19*b + 12. Let h(n) = 11 - 7*n**2 - 4*n - 5*n**3 + 14*n**3 - 6*n**2 - 2*n**2. Let c(g) = -5*g**3 + 8*g**2 + 2*g - 6. What is b*h(s) - 11*c(s)?\nAnswer: s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l - 4. Let p be i(-6). Suppose 0*m - 46 = -m - 5*y, m - p*y = 11. Let k = m - 10. Solve 9*q = k*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 19073972*f**2 - 38147932*f - 19073964.\nAnswer: -4*(f + 1)**2*(f + 4768491)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 60 = -3*f, f + 77 = 6*f + i. Let m = 84 - f. Let j = 4 - -19. Calculate the remainder when m is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h + 3. Let x be a(-2). Is -6 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 66.9902. What is z rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6758\/4281 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/12 + p**2. Let t(a) = 3*a**2 - 7*a - 7. Let z(h) = -h**2 + 3*h + 3. Let q(b) = 6*t(b) + 14*z(b). Calculate m(q(o)).\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 4*l**2 + 815*l**3 - 5*l**2.\nAnswer: 815*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34337272.\nAnswer: 2, 4292159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/71 (b) -3 (c) -0.2 (d) -1 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-13))\/10)\/(312\/676)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747498.\nAnswer: 2, 3, 19, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 13.2 (c) 1\/2 (d) -5 (e) 212\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8486768*t**3 + 49*t**2 - 93*t**2 + 44*t**2.\nAnswer: -8486768*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 6*t + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 8*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {x: 8, g: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j + 16 = -81*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**3 - 6*n**3 + 32*n**3 - 16*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3954, -7171, -10388, -13605, -16822, -20039?\n\"Answer: -3217*j - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30652*r**2 - 13666*r**2 + 29320*r**2.\nAnswer: 46306*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s - 11 + 27*s**2 + 25*s**2 - 53*s**2. Let o be v(-5). Solve 3*z - 2*l = -8, -5*z - 14 = -o*l + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvvv when four letters picked without replacement from vvvvvjvvvvvvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126.00000355 + -126. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/13 + 6496*c**4\/13 + 1277824*c**3\/13 - 1290812*c**2\/13 - 98294*c + 1284316\/13 = 0 for c.\nAnswer: -187, -1, 1, 3434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087222 is divided by 788.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1735942 meters to kilometers.\nAnswer: 0.0001735942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -110, -95?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 0*b + 3*b)*(-3 - 12 + 6)*(-3*b + b + b)*(-2 - b**2 + 2 + 2*b**2 + 1 - 1 + (4*b + 0*b - 3*b)*(1 + 2*b - 1)).\nAnswer: -54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.3 + -8. Let s = 7 - 33. Let q = s - -26.2. What is the biggest value in q, -3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/3)\/(w\/((w\/(w**(-3\/5)\/w))\/w*w)) assuming w is positive.\nAnswer: w**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43782 divided by -2630.\nAnswer: -21891\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 72 - (3 - 1)) + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 117*j + 46.\nAnswer: (j + 23)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -0.1, 0.3, -26 in increasing order.\nAnswer: -26, -0.1, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ea + 7cea9?\nAnswer: 7d2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-15)*(10*27\/(-1080))\/(129\/(-30))?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 - 4*w**2 - w**2)*(-2*w + 3*w - 2*w) + (3*w**3 + w**3 - 3*w**3)*(118 + 152 - 6) to the form y + s*w**2 + b*w + t*w**3 and give t.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 973470238*c + 1063524720.\nAnswer: 973470238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185981 and 42599?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -57*k**3 + 2*k**2 + 2*k - 8. Let h(z) = 114*z**3 - 5*z**2 - 5*z + 17. What is -2*h(s) - 5*t(s)?\nAnswer: 57*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n + 9. Is 14 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.338 and 233.\nAnswer: 233.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 78, 164, 274, 402, 542, 688?\n\"Answer: -k**3 + 21*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnnsnssssnssssn. Give prob of picking 1 s and 3 n.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**6\/120 + 4*d**3\/3 + 19*d. Let k(o) be the second derivative of l(o). Let q(r) = 8*r**2. What is q(k(f))?\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 20. Let c be -2 - (o + -3) - -5. Suppose 0 = -3*h + 4*q - 26167264 + 4567252, -c = -2*q. Round h to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/6 + 10*w**3\/3 + 4*w**2 - 12*w. Calculate the remainder when 22 is divided by l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 + 12*k**4 - 44*k**3 - 12*k**2 + 40*k = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2417993024 to the nearest integer?\nAnswer: 49173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2067061.866804 - 0.4\nAnswer: 2067061.466804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times -3?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100111 - -1210?\nAnswer: -10021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -48 + 56. Let q(u) = -u + 4. Let s be q(2). What is the smallest value in g, -1, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 7. Let r(f) = 4*f - 8. Let w(q) = 4*g(q) - 5*r(q). List the prime factors of w(-8).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - 1.8. Let q = 1906\/9 + -212. Sort -0.4, q, x in decreasing order.\nAnswer: x, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39275 <= 0.716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (456357\/69145)\/((-28)\/(-25) - (-1 + 2 + 0))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-3)\/6 - -1). Suppose 6*l - 28 = 4*d + 2*l, -4*d - w*l = 36. What is the hundreds digit of 12\/16 - 970\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121381614.\nAnswer: 2, 3, 19, 257, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-684)*-1349*(-6)\/3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 67, 68, 69, 70, 71?\n\"Answer: a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zff when three letters picked without replacement from {z: 1, g: 8, f: 11}?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47 + 2 - (-2)\/(-2). Suppose u = s + s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24802a (base 11) to base 5\nAnswer: 100010341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q + 6. Let z(v) = -5*v - 7. Let t(k) = -5*p(k) - 4*z(k). Let j(o) = o + 1. Calculate -4*j(w) - t(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2081 and -87\/16648.\nAnswer: 16648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/14)\/(-1))\/(9720\/(-51030))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 15, 0 = 3*i - 8*l + 5*l - 432. What is the hundreds digit of i + -1 - (-23)\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-10 - -17 - 94 - 3)) + -13?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22409358?\nAnswer: 2, 3, 3734893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14172704 and -4.\nAnswer: 14172700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in -36\/7, 0.04, 1\/3, -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*j - 12790 + 9838 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446412, 446437, 446456, 446469, 446476, 446477?\nAnswer: 446472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.341 - -1.659. What is the nearest to 0.1 in -2, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5 + 16*h**4 + 36*h**3 + 8*h**2 - 38*h - 24 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32299*t + 13 = 5*x + 32295*t, -6*t - 6 = -3*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 427, 4 in ascending order.\nAnswer: -5, 4, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -0*c. Suppose -c*a - 10 = 3*a. Let r = -69 + 205\/3. Is a less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 26*i + 3. Let z(d) = -4*d**2 - 27*d + 2. Let v(p) = p**2. Let w(g) = -2*v(g) - z(g). Let j(o) = -4*t(o) - 3*w(o). Does 12 divide j(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 35 = 2*o - 5*k, -30 = -5*o - k. Solve -11 = o*y - 36 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 31. Suppose -m + 108 = 7*p. Let u(n) = 8*n - n**2 + 0*n - 2 - p*n. Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 330*m**3 - 23.\nAnswer: -330*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 282719077+168034\nAnswer: 282887111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 20*l + 8*l + 4004*l**2 - 31*l as f*l**2 + h*l + v and give f.\nAnswer: 4004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let y(g) = -2 - 7*g**2 - g + 4*g**x - 3*g - 3*g**3. What is the remainder when y(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-10) - (-26)\/(-65). Let i be (96\/(-20))\/(o\/15). Find the second derivative of -18*v - 12*v**5 - i + 13 + 11 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3 = 3*m, -11 = -4*b + m - 0*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(sqrt(55) + sqrt(110)\/sqrt(2)))\/(sqrt(11) + 2*sqrt(1100))*6)*-3.\nAnswer: -60*sqrt(5)\/7 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73922463*w**2 - 147844946*w**2 + 73922429*w**2.\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 8*m**5 - 1766*m**4 - 37290*m**3 + 17825828*m**2 + 94329160*m + 22467600 = 0.\nAnswer: -90, -5, -1\/4, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-2)\/(6\/1)). Let f = -18 + 9. Let x be 6\/f + (-6)\/u. Which is the third biggest value? (a) x (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**3 - 2*v**2 - 30*v - 33. Let p be m(-21). Let l = 53744 - p. Round l to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.2 + -32. Let d = -2.93 - 0.07. Which is the nearest to -1\/2? (a) k (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 11. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 8*k**2 - 9. Let i be p(7). Is (-1 - 2)\/(2\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 145*c**2 - 84*c - 685. Give z(49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 2 - -5 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.9 + -2.9. Let w = -6.00000076 + h. Round w to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -63 + 0*a - 2\/15*a**3 + 2*a**2. Factor o(s).\nAnswer: -2*s*(s - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 22*o**2 - 24*o + 186. What is the tens digit of z(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 - 40*f**4 + 4582*f**3 - 65436*f**2 + 112896*f = 0.\nAnswer: -64, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (1 + sqrt(396)*-2)**2 + 0 + 1)*1.\nAnswer: -24*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1232)\/(-77))\/((-48)\/(-54))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 5*s**2 - 5*s - 4. Suppose 8 = 4*d - 4*h, -5*d - 3*h + h = -38. Let q be w(d). Let g be q\/8 - (-18)\/24. Let o(u) = -3*u - 1. Give o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/5)\/((-36)\/8)*(-330)\/(-40)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499731990 to the nearest integer?\nAnswer: 22355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6224 is divided by 189?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-398126 - 0)*12\/8*40\/(-120) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, -1.33, -1, -2\/33 in increasing order.\nAnswer: -4, -2, -1.33, -1, -2\/33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/3 - 3) + 6\/9. Let b(d) = 4*d**2 - 5. Let j(r) = -5*r**2 + 6. What is k*j(c) + 4*b(c)?\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/6 - r**2 + 19*r + 41. Let a(h) be the second derivative of d(h). Let f(l) = -l**2. Give a(f(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*y**3 - 78*y - 2 + 2 + 81*y wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.4. Let f = 295.28 - 295.58. Let i be ((-8)\/(-28))\/((-18)\/42). Put q, f, i, -0.2 in decreasing order.\nAnswer: -0.2, f, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 1200?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3405295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22.6. What is the second biggest value in g, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -23\/7?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 43.\nAnswer: 21\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 - ((-7 - 72) + 6).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4)*16\/(-10). Suppose n*i - 4 = 3*i. Suppose 2*y = 4*m - 8 + i, y = -2*m + 6. Solve -4*q = 11 + 5, -y*q = -4*v + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455661 (base 7) in base 11?\nAnswer: -56086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209352586*m + 188323367 wrt m?\nAnswer: 209352586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 8*p + 74. Let g be j(6). Is g\/(-25) + 68409\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 13*y)*(y**2 + 0*y**2 + 0*y**2 + (y + 0*y + 4*y)*(16*y - 46*y - 22*y)).\nAnswer: 2331*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 22*l + 18. What is the remainder when 167 is divided by d(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2332 divided by 583.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -30 + 15 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*n + 305*n - 129295 = 344*n for n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/35*(-50)\/15 + (-69954)\/1834?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 6.3 (c) 0.05 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21392 is divided by 7765.\nAnswer: 5862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nene when four letters picked without replacement from {y: 8, e: 7, n: 5}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 9*u**2 - 25*u - 28. Let f be l(-11). Let i(w) be the second derivative of 0 + 1\/6*w**3 + 0*w**2 - f*w. Let y(c) = -2*c. What is y(i(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 6*l + i + 765, 588 = 3*l + 4*i. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412424*k**3 + 825570*k**3 - 412792*k**3.\nAnswer: 354*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*h**2*m**3*s - 24*h**2*m**3 - h**2*m*s + 189*h*m**3 + 2*h*m*s + 4*h*s + 10*m**3*s wrt h.\nAnswer: -120*m**3*s - 48*m**3 - 2*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/20 - (2 + 0))\/3. What is the closest to -7 in -4, 2\/9, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*w**2 + 1295 - 1295 + (2*w**2 - w**2 - 2*w**2)*(2 + 2 - 5) + 1 + 34*w - 2*w**2 - 11*w - 20*w in the form y*w + m + z*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - 7. Suppose 9*v - 13*v = -2*a - 32, 4*v - a = 26. Is x > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8596 - 343841\/40. Calculate the common denominator of k and 6\/27 + 82\/198.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.88165 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9755?\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y + 77. Let i(o) = 76*o - 384. Let r(m) = 3*i(m) + 14*v(m). Is r(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a9b (base 14) in base 10?\nAnswer: -15817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 - 2 - 1 - 1 - j**2 + 9*j**3 to the form b + m*j**2 + h*j + r*j**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 1. Let l be y(-1). Suppose 2*f = l*m - 246, m + 3*f = -3*m + 183. Is (m\/(-18))\/((-4)\/6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2 + w. Let p be i(1). Let d be (-4)\/(-6) + 97430\/p. Let j = 90883\/14 - d. Find the common denominator of -115\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3874 divided by 1937.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 13*j**2 + 7*j + 10. Let h be ((-2)\/(-20) - 4\/(-10))*26. Let b be d(h). Let s = b - 79. Calculate the remainder when 85 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -61, 5 in descending order.\nAnswer: 5, -2, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let u be 1\/n - 15\/(-6). Suppose -u*q = -4*q + 29. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3336+921785\nAnswer: 925121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2312 and 21624.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p, -4*a + 2*p = 316. Let w = a - -47. Let t = -22 - w. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-26) + -1 + (-5858)\/(-3939). Let d(h) be the first derivative of 3 + 0*h - h**4 + 4*h**2 + y*h**3. Factor d(o).\nAnswer: -4*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11545307*m + 16*m**2 + 11545307*m + 4*m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -122902, -122924, -122946, -122968, -122990, -123012?\n\"Answer: -22*b - 122880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/(-15) + (-21063)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m**13)**(-1\/28) assuming m is positive.\nAnswer: m**(33\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 28*b - 90. Let f be 8*(1\/4)\/(5\/b). Solve 10*u = 9*u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(4 + (2*sqrt(176) + -1 + sqrt(176))**2)*1.\nAnswer: -19068 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6995 smaller than -6994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23000 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - 78\/(-21). Suppose -n + 2 = -k. Suppose -k*j + 0 = -2, 5*b - 921 = 4*j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + sqrt(684) + 2 + ((-3*sqrt(190))\/sqrt(10))**2).\nAnswer: 14*sqrt(19) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4212184394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110110 (base 2) to base 16\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-36))\/(2\/7 + 53\/(-210)) - -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(-49) - -163*3971\/(-411901).\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*k**2*z**2 - 9*k**2*z + 612*k**2 - 2169*k*z**2 - 2*k*z - 16 wrt k?\nAnswer: 170*z**2 - 18*z + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*f**2*o*u - 663*f**2*u + 8*f**2 - 7*o*u - 13*o wrt o?\nAnswer: 66*f**2*u - 7*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -40. Calculate the smallest common multiple of b and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 56*l**2 + 58*l + 74. Let g be w(-57). Put g, -5, 13 in increasing order.\nAnswer: -5, 13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - 2*o**2 - 4*o - 1. Let s be p(-1). Let u(x) = -3*x + 4. Give u(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 + 710585*p\/7 + 1421174\/7.\nAnswer: -(p - 710587)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, -47, -262, -653, -1268?\n\"Answer: -8*d**3 - 16*d**2 + 17*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) -1 (c) 0.1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(7) - (sqrt(7) + sqrt(252) + sqrt(7))) + 2).\nAnswer: -14*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332151 (base 6) to base 9.\nAnswer: 42014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**2. Let y(s) be the second derivative of s**3\/3 + 14*s. Give y(w(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 226206709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50717 not equal to 50719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*t - 46 = -h - 926*t, 7*h + 0*t - 322 = 5*t for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 6*z - 17. Let p be c(7). Let d(b) = -12*b**2 + 2*b - 3. Let l be d(2). Let w = l - p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 92, 113, 136, 161?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from {v: 7, i: 1, x: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 - 104*x**4 + 1722*x**3 - 8820*x**2 = 0.\nAnswer: 0, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9359.126*0.15\nAnswer: -1403.8689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4440109239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8705 and 5223.\nAnswer: 26115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.354 * 608\nAnswer: -215.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 - 291*t\/2 - 27255\/4.\nAnswer: -3*(t + 79)*(t + 115)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 573*z**2 - 13*z + 13. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/3 + 8*g**5\/5 - 5*g**4\/2 + 4*g**3\/3 + 619. Solve j(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 + 42*f - 17. Let z(d) = 2*d**2 - 7*d + 3. Calculate 6*l(x) + 34*z(x).\nAnswer: 2*x**2 + 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 2:13 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -2, 4, 120, 3, 1 in decreasing order.\nAnswer: 172, 120, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 1. Let p(d) = 2*d - 1. Let v(b) = 5*p(b) + 3*s(b). Let t be v(2). Let l be (0 - 6)*112\/t. What is the highest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230581167 divided by 3.\nAnswer: -76860389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*sqrt(120)\/sqrt(125))\/((sqrt(1152) - sqrt(32))*-1).\nAnswer: 6*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55258b (base 15) to base 13.\nAnswer: ac10b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 18*g + 4. Let b = -22 + 61. Let o = -33 + b. Let h be c(o). Solve 0*n = -h*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15 - x - x**3 + 17*x**2 - 3*x**2 - 5*x**2 - 2*x**2. Let d be t(7). Suppose 0 = -5*m + d*m + 66. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 10)*7\/(-105)*5*45\/(-16830).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-127210260\nAnswer: -127210257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + z + 634668 = -x + 634650, x + 4*z = -66 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(33)\/(sqrt(363)*2 + sqrt(3)))*-6*-4.\nAnswer: -48 + 24*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 1 - (36 + (11 - 52)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -763383*z + 763382*z - 1 + 4. Suppose 3*b - 3*a - 63 = -0*a, -4*a - 40 = -2*b. Let h = b - 15. What is s(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*6*2\/(-8). Suppose u + 18 = c*u. Is 0.1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let t(s) = -89708*s. Calculate t(a(d)).\nAnswer: 89708*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 63*s. Let v(y) = 4*y**2 - 3*y - 9. Let n(g) = -6*g**2 + 5*g + 15. Let c(l) = 3*n(l) + 5*v(l). Determine w(c(u)).\nAnswer: 16*u**4 - 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -40\/7 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b + 1. Let n = 107 + -158. Let k(f) = -8*f**2 - 16*f - 8. Let p(i) = n*l(i) - 6*k(i). Suppose p(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101387 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11126953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5959 + 5958.92. What is the nearest to h in -0.2, 4\/19, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 91*d - 7. Let k be n(-5). Let g = k - -898. Suppose 2*v - 826 = g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4)*12\/72)\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30253\/76 - -1603\/4. What is the common denominator of -38\/3 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-174152)\/132*(1 + -19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*x + 383*x = -256 + 70 - 934 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -562 in 4, -6, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - -53. Suppose v = 5*j + 3*z, -j + 6 = z + 3*z. What is the smallest common multiple of 92 and j?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-16))\/(k\/(k\/(k*(k*((k*k*k**4)\/k)\/k)\/k)))*(((k*k\/(k**6*k*k)*k)\/k)\/k)**(-7\/4) assuming k is positive.\nAnswer: k**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93565980 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 38 = g - 44, -144*f + 2*g = 11 - 19 + 12 + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2866729 is divided by 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/54)\/((-710)\/(-12)*((-553)\/(-70) + -7))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide -2 - (26339\/(-3) + 12\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + m**3 - 4*m**2 - 3*m**4 + 5*m**4 - 5*m**2 + 10*m**2 as i + x*m + k*m**3 + o*m**2 + l*m**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44473 or -44471?\nAnswer: -44471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29ac (base 15) to base 9\nAnswer: -13230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -24*z. Let r(g) = 49*g. Let c(s) = 5*l(s) + 3*r(s). Let j(x) be the third derivative of -x**4\/12 - 62*x**2. Calculate c(j(b)).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0790781 minutes to hours.\nAnswer: 0.017984635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -441.325 to zero dps.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and -413.\nAnswer: 66.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/424*(-4 - -3). What is the second biggest value in -1\/2, l, 1, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07632736 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 7\/48*p**8 + 0*p + 0*p**6 + 0*p**7 + 0 - 17\/8*p**4 + 34*p**2 + 0*p**3 + 0*p**5. What is the second derivative of v(c) wrt c?\nAnswer: 980*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -981, -3287, -6883, -11763, -17921, -25351, -34047, -44003?\nAnswer: -55213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 87*v + 826. Give q(9).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffxfppefex. Give prob of picking 1 x, 2 e, and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*b = 42, 4*b - 3*b - 40 = -5*q. Suppose -q*w = -6*w - 477. Suppose -2*f + 132 = i + 2*i, -3*f - w = -4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3 - 3?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757811?\nAnswer: 757811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642599 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + 1 + -155 + 161?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108b63 (base 13) to base 6\nAnswer: -12213145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 12 + -12 + -1 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8916, 4, -5, 0, 11, -1 in decreasing order.\nAnswer: 11, 4, 0, -1, -5, -8916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and -4324075?\nAnswer: 168638.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + (9 + -3 + -10 - -18)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbllbbbblblllbbb. What is prob of sequence blb?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 31. Suppose -4*j - v + 2490 = 193, 2*v - 2294 = -4*j. Suppose -j - 93 = -l*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321948680.\nAnswer: 2, 5, 2377, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4 and 41\/10506.\nAnswer: 21012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 9. Let b be w(-9). Let m = 0 + -1. Put -4, m, b in descending order.\nAnswer: b, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*p - 309*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 - 5*g - 5. Let u(f) = -7*f - 10*f**2 + 3 - 4 - 4 - 2. Let y be (-4)\/14 + 297\/(-63). Calculate y*u(p) + 7*k(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 1225*v**2 - 22*v + 16. Let s(c) = 3*c**3 - 918*c**2 + 16*c - 12. What is 8*a(w) + 11*s(w)?\nAnswer: w**3 - 298*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(0*u - 2*u + 10*u + u - 2 + 2 + 1 - 1 - 2*u + (0 + 3 - 1)*(-3*u - u + 3*u)) in the form o*u + j and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -312*j**2 - 8*j - 10. Let c(b) = -6*b**2 - 2*b - 2. Let q(y) = 4*c(y) - k(y). Let z(r) = -7*r**2. Give z(q(g)).\nAnswer: -580608*g**4 - 8064*g**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boo when three letters picked without replacement from {b: 2, o: 8, c: 3, f: 6}?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/5)\/(2\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/26 in 4\/115, 3\/8, -3, 0, -0.5?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/20)\/(5\/(-25)). Let x be (4 + j + 3)\/(5 - 3). Let s(d) = -5*d + 1. Give s(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**2\/2 + 20*i - 8. Let k(h) = 4*h - 2. Let w be k(3). Let v be z(w). Solve -5*q + 5 = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + -2633. Let x = 56957\/20 + z. What is the common denominator of 59\/84 and x?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 1. Suppose -5*y + 3 = -4*y. Suppose -2*d + 5*x = -0*x - 7, 3*d - 4*x = 7. Let a(z) = -4*z**2 + 3*z + 3. Determine d*a(o) + y*t(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 40*w - 110. Which is the second smallest value? (a) 11\/14 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 148\/11 (d) -0.4 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 427894 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -396878*v + 2560003 with respect to v.\nAnswer: -396878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3\/7 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.1 rounded to zero dps?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.3, -0.02, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95241*q**2\/7 - 3904485*q\/7 + 16236\/7.\nAnswer: -3*(q + 41)*(31747*q - 132)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.20451 rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from zctickitchcci.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*l**3\/7 + 12520*l**2\/7 - 2628*l\/7.\nAnswer: 4*l*(l + 73)*(43*l - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001046624 to 6 decimal places.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 40. Suppose 3*s + s - u = -2*o, s - 5 = 4*o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1816 divide 2734360280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 6 - 3 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 35. Suppose 0 = h + 3*m - 8, 4*h - 7*h + 5*m = 4. Suppose a = -h*a + z. Solve a = 5*o + 26 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/((-13)\/26). Let i(k) = k**2 - k + 1. Let n be i(j). Suppose -n*c = -3*c - 160. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 200\/(-15)*(-25734)\/4. Suppose 10780 = 3*d + m. What is d rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*x**3 - 22 + 92*x - 12 + 34 - x**2 + x wrt x?\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*m**2 - 3*m - 161*m**2 + 83*m**2 - m**4 + 431*m**3 + 3*m**4 in the form f*m + d*m**4 + b + l*m**2 + y*m**3 and give y.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/3))**10\/(b\/b**(2\/3)*b**(-6\/7)*b) assuming b is positive.\nAnswer: b**(340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 50 = 0. Suppose s*m - 5*m - 10 = 0. Suppose 14 = -m*r + 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 - 413. Let w = d - -288. Solve j = -w + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/8 + 41061*w**2\/2 - 2247843375*w\/8 - 2248171875\/4.\nAnswer: -3*(w - 27375)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1201, 19, 8, -1 in increasing order.\nAnswer: -1201, -1, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 8*a - 7. Let f be r(-9). Suppose -c + 0 - 2 = 0, -2*c = 2*g - 2. Solve -15 + 2 = g*y - 4*l, -y + 9 = f*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 108 = -16*x. Let b(i) = -5*i + 34. What are the prime factors of b(x)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -24. Let s = h - 86. Let o = s - -68.00124. What is o rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 4*n**2 - 9*n + 5. Let a(j) = 7 + 3*j**3 + 637*j**2 - 13*j - 1264*j**2 + 633*j**2. What is -5*a(v) + 7*h(v)?\nAnswer: -v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 830 + -126. Suppose -f = 3*g - 7*g. Is g - 3\/(-1 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 2*b + 4*a - 18, 5*b = -5*a + 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6130 by 10.\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3075, -3, 0.16, 1\/5, -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-63)\/30)*((-22019)\/1455 - -17).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 5 - 2 + 11 - 4.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*(20 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 309*p - 30*p**2 - 2 - 5*p**3 - 309*p.\nAnswer: -5*p**3 - 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135737238 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 151441686*a - 1911215354876883.\nAnswer: -3*(a - 25240281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -404*w - 1784. Let y be h(-7). Calculate the highest common divisor of 1508 and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 1084988.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102822815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 62*t - 132. Calculate c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 1216?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 0.4 (c) -1.2 (d) -0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1102010121 (base 3) to base 12\nAnswer: -14107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42016 is divided by 470?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.1 - -780.9. Let b = 492.307895 - -326.691658. Let h = y - b. What is h rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(245) - sqrt(245)) - sqrt(245)) + (-1 + sqrt(245))**2 + 2.\nAnswer: -14*sqrt(5) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*r - 1520 + 1492, -r - 8 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1743 - -1747. Solve 0 = 14*g - k*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlblbllsm. What is prob of picking 1 b and 1 m?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31176092 is divided by 6235212?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -207, -451, -783, -1197, -1687, -2247, -2871?\nAnswer: -3553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*k - 11*f**2 - 2749770*f*k + 614*f - 3*k - 5 wrt k?\nAnswer: f**2 - 2749770*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 24 = 0. Let x(m) = -m**3 + 9*m**2 + 13*m - 17. Let p be x(10). Solve z + p = -q*j + 3*j, -2*z + 2*j = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 4*u. Let r(w) = 5*w**2 + 15*w + 3. Let c(f) = -9*k(f) - 2*r(f). Determine c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4007 + -0.2007. What is the third smallest value in 36, j, 2, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75917\/79 + 961. Is 0 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 19868 + 49206. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 247\/57\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 48 = 8*k. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11580 is divided by 2688?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 106140.\nAnswer: 742980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t**2 + 0*t**2 - 8 + 8 to the form x + a*t**2 + d*t and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-80))\/((-5)\/20). Let j = -4766 - -23831\/5. Factor w*q - j*q**2 + 0.\nAnswer: -q*(q - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(2\/17))**30*((h\/h**0)**(5\/4))**(6\/37) assuming h is positive.\nAnswer: h**(15\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17482, -1 in descending order.\nAnswer: 17482, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85799 + 343277\/4. Factor 1\/4*w**5 + 4*w**3 + 27\/2 - q*w + 9\/2*w**2 - 2*w**4.\nAnswer: (w - 3)**3*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544140.3 years in decades?\nAnswer: 54414.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-15)*(-5)\/(-2). Suppose -3*k - 9 = 0, -b = s*b + k - 9. Calculate the highest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -174999*w**2 - 5*w + 4. Suppose 0 = -5*g + 3*r + 71, -3*r = -0*g - 4*g + 58. Let t = -9 + g. Let v be q(t). Round v to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-93)\/62. Solve 0 = 4*q + 17 - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/110 and -43\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 0*b - b)*(-11 + 10*b + 11) in the form u*b + g*b**2 + z and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 698292 and 126.\nAnswer: 698292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + -13 + 14. Determine h, given that 82*h + 2*h + 29*h**2 + 26*h**2 + 44 - 4*h**v - 19*h**2 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/2)\/((-24)\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, 5, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 699, 866, 1095, 1398, 1787?\n\"Answer: 2*n**3 + 19*n**2 + 96*n + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 17. Suppose -4*c + 28 = 4*y, 0*y - 3*y = o*c - 13. Suppose -7*q - 7 = -c*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2693593 - 1811.\nAnswer: -2695404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*q - 321*q + 403*q = -642*q - 29600 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5060803643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -29*t**5\/20 - 7*t**4\/12 + 2492*t**2 + 2729*t - 1. Find the first derivative of c(i) wrt i.\nAnswer: -87*i**2 - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 81*z + 2. Let d(a) = a**3 - 23*a**2 - 9. Let v be d(23). What is the hundreds digit of l(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3562 + -92.0562. Let l = -107.1 - -15.1. Let d = l - p. Which is the closest to 1? (a) 28 (b) d (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.4 times 0.557\nAnswer: -30.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100698255 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + -10111000110010011000?\nAnswer: -10111000110010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172116906*t**4 - 52236657*t wrt t?\nAnswer: -2065402872*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -p - a - 280, -338 = p - 3*a. Which is greater: -322 or p?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 1300.5.\nAnswer: 1314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 344599235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 699 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - 26\/(-7). Let c = 9 - -16. Let n = c + -17. Solve -o*v = -4*w + n, -5*v = w + 4*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t\/((t*t\/(t**(-1)*t))\/t))\/t)\/t)\/t)\/t)**26*(t**(-1\/4))**(2\/35) assuming t is positive.\nAnswer: t**(-5461\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*a + 2*a**2 - 150*a + 295*a + 87 as x + t*a + q*a**2 and give x.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15118177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 41755.6086 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 + 0 = 4*z, -5*t - 2*z = 10. Let l(r) = 22*r + 4. Let n be l(t). Sort 3, n, -5, 1.\nAnswer: -5, 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8, -c + a - 2*a + 11 = 0. Suppose z - 33 = -o - z, 2*o - 58 = -2*z. Calculate the remainder when o is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*o**3 - 112*b**3*o - b**3 + 134*b**2*o**3 + b**2*o - b*o**3 + o**2 wrt b?\nAnswer: 36*o**3 - 672*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 16*n + 28. Let v be h(-14). Let u = v + -46. Solve -p - 15 = -o - 5*p, -5*o - u = 3*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(5*x - x + x)*(-5 + 1 + 5)*(-1 + 2 - 3) as w + y*x and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2\/(-12)*-9. Let h = -328\/15 + 22. Which is the nearest to x? (a) 3 (b) 3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:43 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469879 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 + 342 + (-1 - (1 + -15)) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 13*s = -22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163422201 + 88*u - 1163422200 - 15*u**2 + 10*u.\nAnswer: -15*u**2 + 98*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.325 + -5.625. Let q = 0.2 - 2.2. Let h = q + 0. Which is the second biggest value? (a) h (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -12.861\nAnswer: -90.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(10)*6 + -1*(sqrt(176) + sqrt(11)) - 1*(sqrt(891) + -2 + sqrt(891) + 0))**2.\nAnswer: -68*sqrt(11) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - 2*z)*(-7 + 3 + 5)*(0 + 0 + 2).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (-5*sqrt(18)\/sqrt(3))\/sqrt(3) + (sqrt(2) - (sqrt(6)\/sqrt(3) + sqrt(2)))*-2 + -4))**2.\nAnswer: 1296*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6.74, 2, -5, 3\/4, 1\/2, -3?\nAnswer: 6.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 6, r: 6, c: 1, d: 1, p: 2}. Give prob of sequence hhdc.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004313 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 3*l + 7*q - 197, -5*l + 355 = -3*q. Suppose 70*m - l*m = -23692. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238\/(-402) - 44\/(-1474)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8\/9, 1, -4?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d + 5. Let x(g) = g**3 + 5*g**2 + 5. Let c be x(-5). Let i be y(c). Suppose 4*b - i = 25. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8106.\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (35 - (11 + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 27*a**2 + 3444*a - 14214. Give b(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-224))\/(2\/(-553)). Which is smaller: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288627 take away 182.6?\nAnswer: 288444.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 4*u + 2. Let v = 8 + -4. Let w be f(v). Let c be w\/(-1) + (-35)\/(-7). Solve -4*a = -0*j - c*j + 16, -5*j = -5*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2 - 2)*(-49 + 22 - 42).\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1488063033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1403*h**3 + 894*h**3 - 2115*h**3 + (1 - h - 1)*(-4*h + 4*h + 2*h**2) in the form a + o*h**2 + u*h**3 + j*h and give u.\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.814 and 13.8?\nAnswer: -11.2332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 + 13 - 24 - 10*h + 6 wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -7*b**4\/6 + 2*b**3\/3 - 7*b + 5. Let q(h) = 15*h**2 - 5*h. Calculate -5*f(r) - 4*q(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 6*r**5\/19 - 596*r**4\/19 - 1878*r**3\/19 + 3636*r**2\/19 + 4912*r\/19 = 0.\nAnswer: -4, -1, 0, 2, 307\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.65 - 2.67. Are p and -6\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -2546.\nAnswer: 458.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 150?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 17 + (-270)\/24 - (-1 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401693 is divided by 496.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29062358.\nAnswer: 2, 13, 41, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 363*b - 359*b - 26, 2*q - 5*b = -32 + 4 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2167275*x + 5*x**3 - 2167275*x - 4*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.682 - -2. Let o = 0.142 - h. Let v = o - 0.137. Round v to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -91*g**2\/2 + 256. Let u(s) = 8*s**2. Determine u(j(p)).\nAnswer: 66248*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1900 = -2*u + 5*n, -2*n + 1545 = 2*u - 383. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293274 and 23382?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 + s - 25. Let o be t(0). Let i = -21 - o. Let m = 95\/2 + -1041\/22. What is the second smallest value in m, i, -0.07?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:14 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -370*h - 1. Let x be n(1). Let c = 8133\/22 + x. Let p = 2\/11 - c. What is the third smallest value in -0.5, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 290*z**2\/9 + 32*z\/3 - 8\/9.\nAnswer: 2*(5*z + 2)*(29*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.818942 and -2.31.\nAnswer: 6.51175602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15334505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 7:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1106444 or -1106443?\nAnswer: -1106443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 6*c)*(-5 - 2*c + 5).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 4*q - 4. Suppose 2*j = -4, 3*w + 4*j = 3*j - 80. Let k = 22 + w. Calculate m(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 - 5*x**3 - 8*x**3 + 25*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 - 29\/105. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119.00093 + -119. Round f to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28368950 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*a**2 + 2 - a**3 - 2*a**4 - 8 - 8 to m + s*a**4 + l*a**2 + k*a + p*a**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -590, 765, 470 in descending order.\nAnswer: 765, 470, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, 761, 757, 753, 749, 745?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 22 - 38. Let l(o) = 4*o - 11. Calculate the remainder when v is divided by l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14835 + 14920.632. Let k = -86 + y. What is k rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - 2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 3*d + 18. Suppose -95 = 12*c - 17*c. Let b = c + d. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9. Suppose -113 = i*y - 5*w, -3*y + 3*w - 123 = -y. Let x be y\/21 + 3\/1. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/13 + 391650468*h\/13 - 19173761135577378\/13 = 0. What is h?\nAnswer: 97912617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1600 and 480?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1918229?\nAnswer: -5\/1918229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.68? (a) 8 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -714413088878548 and -5.\nAnswer: -714413088878553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 3, p: 3, y: 2, h: 9, g: 2}. What is prob of picking 1 b and 2 p?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o**3 - 2*o**2 + 5*o + 3. Let n be (2\/2)\/((-7)\/21). Let g be h(n). Let c = 553 - g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 485 + 475 = -n, n - 12 = 5*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(190) + sqrt(190) + (-6*(sqrt(190) - sqrt(190)*-1 - sqrt(190)) - sqrt(190)))\/((sqrt(90)*-1)\/sqrt(9) - sqrt(10)) + 2).\nAnswer: -5*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2633*l**4*y**2 + 91*l**2*y**2 - 5*l**2*y + 10*y**2 wrt l?\nAnswer: 63192*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.24 * 4\nAnswer: 8.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 14969 = -219*l + 140*l - 90*l for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -8, 1, 12?\n\"Answer: i**2 + 4*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2116*x**4 + x**2 - 179 wrt x.\nAnswer: -50784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-8)*(-24)\/(-9)*173. Suppose 3*k - 514 = 2*d, 3*k - 4*d = -k + v. Let t = k - 77. Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - (sqrt(76) + 2) - sqrt(76) - (5 + sqrt(19) + 0 + sqrt(19))**2.\nAnswer: -103 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r - 11. Let v be t(-2). Let z = v - -62. Let l be 2 - 4*z\/(-10). Solve -3*y + 6 + 0 = l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10984 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, -35, -145, -299, -497?\n\"Answer: -22*u**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/(-9) + (2550\/(-9))\/(6 - 9) and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -247, -365, -481, -595, -707?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(1 - 210\/190). Solve i + 2*d + 8 = 0, -y*i + 4*d = -16*i - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 4 + sqrt(171) + -5*(sqrt(171) - -1*sqrt(171)))*-3)**2 + -2)*2 + 1.\nAnswer: -7776*sqrt(19) + 250467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -17.9. Which is the closest to 1\/2? (a) -2 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7521999812 to the nearest integer?\nAnswer: 86729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Let d be q(5). Let h = 4 - 3. Let s = 0.5 - 1. Which is the nearest to h? (a) s (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30955 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 35*o**2 - 3*o - 1. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/60 - b**2. Let w be 3 + -2 + 2 - 1. Let d(u) = 2*u - w*u + 4*u. What is d(i(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - 8*z - 771 + 6*z + 283 + 191 + 297.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 3 - -4 - (38 - 101 - -120)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(25\/(-8)))\/((-8)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, and 1 m when three letters picked without replacement from {d: 1, j: 3, w: 4, m: 1, n: 2, p: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10728 - 10166. What is the greatest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582 - -680.4. Round q to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22\/203 + -746\/609. Suppose 0 = -4*q + q. What is the nearest to q in 0.2, y, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108676*h**2 + 1452449*h wrt h?\nAnswer: 2217352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 19, 10, -1, -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 + 0*z + 0*z)*(-180 + 88 + 118) + 3*z**5 - 3*z**5 - 2*z**5 - z**4.\nAnswer: 24*z**5 - z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 921848118 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**6 - 5*l**4 + 771*l**3 - l**2 + 2394321*l?\nAnswer: -1320*l**3 - 120*l + 4626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22133, 88438, 198901, 353516, 552277, 795178, 1082213?\nAnswer: 1413376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/17064 and 97\/580?\nAnswer: 2474280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 8:29 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8767, 23903, 49129, 84445, 129851?\n\"Answer: 5045*f**2 + f + 3721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*t - 64, 0*t = -t + 5. Suppose -3*b + 2*z + 11 = -3*z, -s = 2*b + 4*z. Let r(c) = c + 6. Let q be r(b). Solve -2*n = -n - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -15. Suppose -1837 = -20*s - 2837. Find the common denominator of s and b*(-1)\/18*-86.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/733385413 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 966 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1326)\/(13\/2 + 1). Let m = 176 - s. Which is the closest to -2\/3? (a) -5\/2 (b) -0.04 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/2465 and -14\/620049.\nAnswer: 52704165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 241050*d**2 + 7476185*d - 56441970 = 0 for d.\nAnswer: -48241, 13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2626192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(112)\/(sqrt(7) - sqrt(28)))\/(2*sqrt(200) - sqrt(8)) - (sqrt(140)\/(sqrt(30)\/sqrt(3)))\/(-6*sqrt(14)\/sqrt(2))).\nAnswer: -4 + sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1165 divided by -63084.\nAnswer: 1165\/63084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 180?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29291 is divided by 480?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981723?\nAnswer: 3, 229, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 111*r = 0. Calculate r.\nAnswer: -111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = o + 3 + 12, 5*o - 15 = -2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15006 + 15009. Let l = -10 + 20. Solve l = -q*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyy. Give prob of sequence yy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1.425.\nAnswer: -0.7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 117. Let a(l) = -477*l**2. What is u(a(x))?\nAnswer: 4293*x**2 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 14. Let v(p) be the first derivative of p**2 + 3*p - 5. Suppose 3*a - 9*a = 18. Let g(j) = 5*j + 7. Determine a*g(h) + c*v(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/(-3800)*4\/(-9). Let t(v) be the third derivative of 0*v + 0 + 0*v**3 - n*v**5 - 1\/60*v**4 - 11*v**2. Solve t(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**3 - t**2)*(6*t + 5*t - 9*t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - 1) - (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*f - 10084 - 692 = 303*f + 3210 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.85 - 0.15. Let v = -519.9 - -520. Sort v, n, -4, 2 in decreasing order.\nAnswer: 2, v, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 1. Let s be -43*(-1 - 0)*-1. Let m = -41 - s. Suppose -4*j - 2*p = m*p, -12 = -3*p. What is r(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214 + 28*m**2 + 4*m**2 + 215 - 13*m wrt m?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(2\/18*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 7*b = -45. Let g be -6*1 - b\/(-3)*-2. Let u(y) be the second derivative of -y**3\/6 - 5*y**2\/2 + 3*y. Determine u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/26? (a) -21 (b) -3.2 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**3 + 8*s**2 - 5*s**2 - 36*s + s**2 - 4*s**2 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 3*v)*(-2 - 39*v + 2 + 16*v).\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + f = 4*u - 12, -f - 6 = 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 1)*(-4 - 1 + 6) - 3 + 4 + 4 + 1 - 4 + 4)*(-432*b - 426*b + 461*b) to x*b + a and give x.\nAnswer: -1985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 7. Let h be t(-8). Suppose 9*q - h = 8*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/130)\/(33\/4004)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 32*u**2 - 402*u + 384. Calculate f(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1239 - -1244. Solve 8 - 1 = 4*h - z*t, 0 = 3*h + 3*t - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 930, 2075, 3668, 5703, 8174, 11075?\nAnswer: 14400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21498743*p - 40 - 21498695*p - 12)*((-p + 2*p + 0*p)*(6 - 2 - 3) - 4*p + 4*p - 2*p + p - p + 3*p).\nAnswer: 96*p**2 - 104*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010291413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*u + c**3*u + 2499*c**3 + 11*c**2*u - 3*c**2 + 4*c*u - 4*c wrt c?\nAnswer: 24*c*u + 6*u + 14994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + 5*q**5 + 28512*q**3 - 10254*q**2 + 12*q?\nAnswer: -120*q**3 + 300*q**2 + 171072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -b2?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 - 6. Calculate x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 762 = 5*y + 496, -5*l - 1018 = 4*y. Let p = y - -252. Let v(w) be the first derivative of -w**2\/2 + 2*w - 1. Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-10)\/(-720) + (-91)\/(-1260)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 35 + 36 + 9. Let w(k) = -2*k. Determine w(t(y)).\nAnswer: 6*y - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-64)\/(-120)))\/(((-272)\/16)\/119)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1498590676 * 0.3\nAnswer: 449577202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 6*u + 12. Let f be w(-5). Let x = f + 63. Let d(b) = -2*b**2 - 6*b. Give d(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 5. Calculate the highest common divisor of c and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -49329780.\nAnswer: -1\/12332445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.005130255.\nAnswer: 0.0005130255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -43*s**8\/336 + s**7\/42 + s**5\/20 - 125*s**4\/24 + 6*s**2 - 45*s. What is the third derivative of j(o) wrt o?\nAnswer: -2580*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from iaaaimmamiamiaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4 - 0. Let f(n) = -n**2 - n + 1. Let l(r) = 36*r**3 - 4*r**2 - 4*r + 2. Let v(j) = 3*f(j) - l(j). Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.065934 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f + 4644 = 181*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 44. Suppose 5 = -5*a + k. Solve -25 = -8*g + 3*g - 5*m, a*m - 20 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - 1*sqrt(70)) + sqrt(70))*-4 - sqrt(70) - sqrt(70) - sqrt(70))\/((sqrt(80)*-2)\/sqrt(8)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 47*a + 73. Let l be w(-20). Is 2 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-2) + 2 + -1. Let j = 26 + z. What is the remainder when 50 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -281*t**6\/30 - 296*t**3\/3 - t - 112. Find the second derivative of s(b) wrt b.\nAnswer: -3372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 86*k + 24*k - 1 + 5*k**2 - 108*k. Suppose 0*i - 5*i = 3*z + 2, -2*z - 3*i = 1. Let f be x(z). Solve -8 = 3*q + c, -f = -2*q + q + 4*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1620707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 339, 501, 861, 1485, 2439?\nAnswer: 3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -488, -996, -1494, -1976, -2436, -2868, -3266?\n\"Answer: r**3 - r**2 - 512*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -61500*a - 1804. Let b(i) = -820*i - 24. Determine -451*b(g) + 6*v(g).\nAnswer: 820*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 3. Let s be l(-3). Suppose -c + 2 = -q - 2, -2*q + 5*c - 2 = s. Calculate the least common multiple of (-90)\/(-6)*(-4)\/q and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -633 + 183. Let a = n - -1186. Let x = a - 443. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*g**2 + 549 - 87*g**2 - 23 + 36*g**2 wrt g?\nAnswer: -66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210103 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/5)\/(4\/(-20)). What are the prime factors of o - 3 - (-2)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007904 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 48*g - 50*g. Suppose -57 = -2*j + 5*q, 0*j + 3*j - q = 105. Suppose -j + 12 = -g*x. Put -5, 1, x in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*q - 8, -4*q - k + 10 = -6. Suppose 5*j - j - 5*a + 20 = 0, -4*j = -q*a + 20. Put -3, j, -2 in ascending order.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 1146*g + 3. Let m(f) = 3*f - 1. Give 3*m(p) + y(p).\nAnswer: -p**3 - 1137*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25396013?\nAnswer: 463, 54851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 13*p + 10*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpwp. Give prob of sequence pw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21608 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 61 in ascending order.\nAnswer: 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/3 - (-7)\/21. Suppose -m*q + 50 - 10 = 0. What is the least common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q**(-10)*q))\/q**(-8\/3))**0*(q**3\/q*q**(-7))**13 assuming q is positive.\nAnswer: q**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 7*h + 40. Suppose 3*x = 4*p + 1580 + 175, x - 585 = h*p. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 5486 = -22789. Suppose 6*j = -5*g + 4*j + w, -5*g + 3*j = -1116. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.1. Let o = 6 - 9. Let w = o - -3. What is the third biggest value in c, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*v = 2272 + 4933 + 3291 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/2 + d**2\/2 - 5*d. Let k be s(1). Let j be (-4)\/(2\/14*k). Calculate the highest common factor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 21*h + 5380 = 0. Suppose -1046 = -2*y - 4*f, 3*f + h = 2*y + f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2511 + 2673. What is the greatest common factor of 14 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576\/(-864) + (-50)\/6 - (-159 - 0) and 2650.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462 times -1546?\nAnswer: -6898252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/56 and -97\/452.\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4836 - -4942 - (-3 - -67).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from uufpffuptsu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*q**2 - 24*q - 9 = 0. Calculate q.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -16*c + 28. Calculate the remainder when 13 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 38. Let n be r(3). Let a(j) = j - 33. Calculate the common denominator of a(n) and (-6)\/15 + (-13)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -34 - ((-7)\/9 - (-6)\/(-27)). Let o = q - -48. Let 14 - 2 - 16*u**2 - o*u + 19*u**2 = 0. Calculate u.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(10\/6035298)*(-310)\/186 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13950 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1440908643 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93487391 or -93487392?\nAnswer: -93487392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5 + 12*p**4 - 221*p**3 - 12*p**2 + 220*p = 0.\nAnswer: -22, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347831 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.27361 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 261 + -145 - (283 + -53).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = h - 3*o, -2 + 3 = o. Calculate the remainder when h is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 83611 - 3*p + 41794 + 41817 + 2*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/135110 and -7\/3540.\nAnswer: 810660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8928.1 + -8928. Put 0.5, -7, -0.1, 1\/3, z in decreasing order.\nAnswer: 0.5, 1\/3, z, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 4 - (-24)\/2. Let t(r) = -34*r - 170. Let v be t(-5). Solve v = -5*n + 22 - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - w + 102*w**3 - 54*w**3 - 49*w**3 in the form d*w**2 + i*w**4 + l + h*w**3 + c*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*y = -12, -4*y + 32 = 3*j - 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.18 and -1.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/5 + 68065977*p**2\/5 + 386081469446697*p\/5 + 386081401380723\/5 = 0. What is p?\nAnswer: -11344329, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -9, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15 - 2\/15*d + 2\/15*d**3 - 4\/15*d**2.\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + 3 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -488\/3 = -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1025129, 4100612, 9226439, 16402610, 25629125, 36905984, 50233187?\n\"Answer: 1025172*k**2 - 33*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-468 + 218 + 214)*(1 + 4 - 3 + 0 - 1 + 0 + 1 + 1 - 4 - 3 + 2 + 3 + (0 + 1 - 3)*(1 + 3 - 5) - 1 - 1 + 0 - 4 + 1 + 1 + 2 + 2 - 6)*(1 - 1 + 3*s).\nAnswer: 324*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 1, y: 2}. Give prob of sequence my.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**2)\/l)**17)**20 assuming l is positive.\nAnswer: l**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3 + 182*q**2 + 126*q - 62.\nAnswer: -2*(q - 31)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 12.1. Let h = 120.61 - 120. Let l = h + j. What is l rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/70 - 5*z**4\/42 - z**3\/7 + 9*z**2\/7 - 4*z + 1. What is x in h(x) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3.6. Round u to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26025\/16 + 1626. Calculate the common denominator of -71\/2 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 2*w**2 - w - 1. Let l be x(3). Let h(r) = -r**2 - r + 40. Let n be h(0). Let m = l + n. Solve 5*z + 25 = m, -5*d + z + 5 = -2*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72\/91 + 6\/91. Determine b, given that 0 - i*b**3 - 2\/7*b**5 - 6\/7*b**4 - 2\/7*b**2 + 0*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bvbv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 792\/(-660)*15\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 625589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 17537*y**2 + 105249*y + 157887.\nAnswer: -(y - 17543)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)*v**(-2))\/(v**(5\/2)*v**(-6)))\/((v**(-1\/3)\/v)**(-2)*(v\/v**(-3))\/(((v*v**(-2\/15))\/v)\/v)) assuming v is positive.\nAnswer: v**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -6, -27, -66, -129, -222, -351, -522?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.3. Which is the nearest to 1? (a) -0.4 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626\/1315 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -127, -996, -3361, -7972, -15579?\n\"Answer: -125*y**3 + 2*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, 0.1, -5, 84, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 806466779 divided by 1?\nAnswer: 806466779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1.34?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/17 - 96*x**2\/17 + 122*x\/17 + 1176\/17.\nAnswer: -2*(x - 4)*(x + 3)*(x + 49)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (-11254)\/1530*-9.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 202866862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(475)*-2)**2 - (1*sqrt(475)*3 + -2).\nAnswer: -75*sqrt(19) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -h - 3*h - 5*v, -4*v - 20 = 0. Solve a + 3 + 4 = -3*g, h*g = a - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 57 = 87. Let i = m + 32. What is the remainder when 31 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6920\/32 + (-2)\/8. Suppose -4*l = 4*p - 168, -3*l = 2*l + 2*p - u. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 847 + -847. Solve -u = -4*i - 9, y*i = -3*i + 4*u - 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 112\/308 - 36\/(-22). Sort 0.42, -7, -3, -0.4, m in descending order.\nAnswer: m, 0.42, -0.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 0*s**3 - 7*s**3 + s to t*s**2 + c*s + k + r*s**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5552.081 years?\nAnswer: 555.2081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let u(q) = -35648981*q**2. What is m(u(o))?\nAnswer: 1270849846338361*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4049*y + 76930. Give c(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1405, 1399, 1381, 1345, 1285, 1195?\n\"Answer: -s**3 + s + 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/112438 or -18?\nAnswer: -1\/112438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1836 = -615*c + 581*c. What is the remainder when 533 is divided by c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (44\/66)\/(2\/1659)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 8:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**(-4))*c)**(-2\/77))**(-43) assuming c is positive.\nAnswer: c**(344\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79007*v**2 + 27 - 78819*v**2 + 157701*v**2 to q*v + j*v**2 + m and give j.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 - 528*a**3 - 1644*a**2 + 3208*a + 4320 = 0. What is a?\nAnswer: -4, -1, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004372982 to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**4 - s**2 - 2*s + 2. Let b(t) = 21*t**4 - 104*t**3 + 98*t**2 - 10*t + 10. Let d(k) = -b(k) + 5*l(k). Factor d(g).\nAnswer: -g**2*(g - 103)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxiiggqkiqckqq. What is prob of sequence gqc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-3 - 0 - -3) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {x: 6, f: 7, q: 3, t: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-7780))\/((-1)\/5). Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16063 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o\/o**22*o*o*o*o**26*o**(2\/89)*(o**7\/o*o)\/o)**46 assuming o is positive.\nAnswer: o**(73784\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/3 - 48212*p**2\/3 - 96418*p\/3 - 48208\/3 = 0. What is p?\nAnswer: -24104, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 130*n**4 + 835*n**3 - 1460*n**2 - 12080*n - 9920 = 0. Calculate n.\nAnswer: -4, -1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/5*c + 26\/15*c**2 + 2\/15*c**4 + 4\/5*c**3 + 8\/15 = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 349398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = 5*n - 0*n, n = -4*y + 59. Let v = -16 + y. Solve -2*h = 1 + 3, 5*i + 3*h + 6 = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4504 + -2454. Suppose 13*d - r - 1824 = 0. List the prime factors of d.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979.5822 decades to centuries.\nAnswer: 97.95822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 + 45 + 8 + k + 9*k to f*k + r and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(245) + 2 + 1 - -1*sqrt(720)*-6))**2.\nAnswer: -351000*sqrt(5) + 19020600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 16 - 648. Let i = 159 + q. Which is smaller: 45 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -30 - (8 + -10). Calculate the greatest common factor of s and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756796161 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -51, -38, -7, 48?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.39 + 104.39. Let g = r - 103.00041. Round g to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7*y + 6*y = -6, -2*o + 5*y = 13. Which is the smallest value? (a) o (b) -4 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-7) - (-102)\/238. Solve -v = s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, 14\/5, 2\/13 in ascending order.\nAnswer: -4\/19, 2\/13, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1602376667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290634 is divided by 96874?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 3*o**5 - 3*o**3 + 2*o**3 + (-5 + 7*o + 5)*(-3*o**4 - 2*o**4 + 7*o**4).\nAnswer: 16*o**5 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 2392.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 855 + -782.9. Let m = -1.1 + x. Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160822, 318708, 476596, 634486, 792378?\nAnswer: 950272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*w = -2, -117*z + 118*z = -5*w - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 191, 284, 377?\n\"Answer: 93*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 6, o - 6 = -4*v + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + -1 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5, -65.\nAnswer: -65, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 47*q + 24. Calculate y(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/153 (b) 1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 41291614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 22.06?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -24. Suppose -26 = -4*g + z + 13, -3*z + u = 5*g. Suppose -v = -2*v - 2*b, 0 = -3*v - 4*b + 6. What is the lowest common multiple of g and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 30*y + 119. Determine p(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.5 (c) 2\/5 (d) -5\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/576 and 85\/792.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g - 54*g = 282. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10 = -309*b + 312*b, 5*b - 5*d + 10 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-14 + 4) - (-72 + 32)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q**2 - 1879*q + 15385. What is f(148)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 3*g - 231, -2*l + 4*g = 132. Is (3615 + -2)\/((-12)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1240 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 22. Let h = 4 + -2. Let y = f - h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(33) - sqrt(825)) + sqrt(33))*-1)\/(sqrt(66)\/(-3*sqrt(6) + sqrt(6))) + ((sqrt(12) + 2*sqrt(12))*4)\/(sqrt(324)*1).\nAnswer: -14*sqrt(3)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1155305 + -3779977. Let k = 1231536 + -3066208. Let x = c - k. Round x to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54499109 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 238. Suppose -2*d + g = 4*i - 6*d, -3*i - 5*d + 37 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*-2\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (11 - (-5 + (6 - -4)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -70304*g + 351474. Determine b(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/11, 15, 5, -18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 109 + 73. Suppose -4*z = t + 21, t + 2*z + 0*z + q = 0. Sort 3, t, -4, 8 in decreasing order.\nAnswer: 8, 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*j**4\/2 + 312*j**3 - 90*j**2 = 0. Calculate j.\nAnswer: -30, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**10*g*g**(1\/2))\/(g**(-1\/2)*g)**(-4\/11) assuming g is positive.\nAnswer: g**(-161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844 a factor of 566974624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 45952?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) -529 (d) 10 (e) 1 (f) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111100 (base 2) in base 9?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3 - (0 - -1)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126758 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*c**2*f**2 - c**2*f - 335*c**2 wrt f.\nAnswer: -218*c**2*f - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 45*r - 452. Let a be u(9). Let j = 70 + -36. Are a and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5552306l to millilitres.\nAnswer: 555.2306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.64377 - -0.94377. Let i be 2 - 1 - (-42)\/(-38). Is j less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -12, -2\/3, 40, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/22309 and 26\/10717.\nAnswer: 34155079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*a - 20 = 0, -2810*a + 2814*a - 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -47. Let d = 18 - z. Which is the smallest value? (a) d (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 2*h**2 + 2*h + 3. Let m be ((-2)\/4)\/(2\/8). Is p(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 17. Let l(k) = 66*k**2 - k. Let r = 12 + 10. Calculate the remainder when l(t) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.119047 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 85, 88, 91?\n\"Answer: 3*m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6458 - 6453. Solve 5*x - 19 - 1 = 0, 3*v = w*x - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 69700*j + 8. Let w(r) = 69699*r + 7. Let x(a) = 3*v(a) - 4*w(a). Let b be x(-11). Let u = b - -2633348. Round u to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*-1*(-2)\/2. Suppose 0 = -5*r - h, -3*b - 5*r + 4 = -0*b. Suppose -o + 15 = 4*p - 2*p, b*p - 5*o = 16. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 33*a - 59. Let k be j(31). Factor -h**k - 4*h**3 + 60*h**2 - 157*h + 250 - 68*h.\nAnswer: -5*(h - 5)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 + 4*k**2 + 24*k + 30. Let g(m) = -3*m**3 - 2*m**2 - 16*m - 20. Let b(w) = 11*w + 115. Let u be b(-10). Let d(v) = u*a(v) + 8*g(v). Give d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 364*p + 2915. Let m be y(-8). Which is the closest to m? (a) 42 (b) -2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -1\/7*i**2 - 216225\/7 + 930\/7*i = 0.\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.08 and -2.45.\nAnswer: 247.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2549 + -277839\/109. Let z(i) be the first derivative of i**4\/4 + 2*i**3\/3 - 3*i**2\/2 + 11. Let s be z(-3). Is s smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16123103 divided by 30?\nAnswer: 16123103\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -688, -728, -816, -970, -1208, -1548, -2008, -2606?\n\"Answer: -3*x**3 - 6*x**2 - x - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21284833 is divided by 113217.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 1 = -20. Does 7 divide z\/(-18) + (-7 - (-6952)\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*l - 18, 11*z + 50*l = 46*l - 96 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7135 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -46.2. Which is the smallest value? (a) -1\/3 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.011, -3, 0.2 in ascending order.\nAnswer: -3, -0.011, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + 2 - sqrt(847) - (sqrt(252) - (-1*sqrt(252) - sqrt(252))).\nAnswer: -18*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 509\/287 - 20\/41. Solve -3\/7*z**4 + 0 + 0*z**2 + g*z**3 - 12\/7*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42 - (-3 + 2)) + 0. Let o be (-16)\/4 - (28 - 4). Let b = s + o. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -4*i - 184. Let m = 1387\/54 + 76\/27. What is the common denominator of (i\/(-6))\/((-308)\/(-12)) and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**3 + 13549*n**2 - n + 1867220?\nAnswer: -9*n**2 + 27098*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -43\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:58 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 8502*f**2 + 9039750*f + 9031250.\nAnswer: 2*(f + 1)*(f + 2125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2155 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 6*j**4 + 2*j**4 + 229464*j**2 - 2079*j**4 - 229464*j**2 + (-3 + 4 - 3)*(0*j - j**4 + 0*j).\nAnswer: -2080*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 1280 = -6*o + 2*v, 4*v + 1600 = 5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1346476164 and 1572?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749.164t in grams?\nAnswer: 2749164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3)*y)\/y)\/y*y*y*y**(-9)*y*y*y)\/(y**(4\/5)*(y\/y**(-2\/9))\/y) assuming y is positive.\nAnswer: y**(-406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + 1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 32. Let q = 20 + -5. Solve -5*r = 4*p - q, p = -2*r - 2*p + i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6135 - 6128. What is the nearest to 0 in n, 0.4, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 17 = -5. Suppose -k*d + 0*d + 72 = 0. Let r = 25 - 17. What is the greatest common factor of r and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13582662?\nAnswer: 2, 3, 2263777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 12*a + 7*a)*(-2*a - 5 + 5) + (0*a + 0*a + 2*a)*(a + 2*a - 4*a) to the form w*a + u + o*a**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = o - 4*n, 3*n = 5*o - 9. Let a be 3\/((-6)\/4)*o. Let r(p) = -2*p - 8. Let b be r(a). Solve -2*u = -8, 0*z - 3*u = 4*z - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/2, -0.3, 0.4, 3\/5, 3\/47, -21, -69\/8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + (-1 - -1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-126)\/(-6)*(-1 - -2). Suppose -5*x - 6 = -3*j - 2*x, 3*j + 2*x - u = 0. Solve -j*f + f + 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(10\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(277\/((-329630)\/357))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 33 = 5*g + 4, -5*f = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532727 is divided by 212.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790047 is divided by 395000?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 + 12 = 0. Let z = -202 - -206. Solve -3*a - 2*a - 4*x = m, -z*x - 29 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25975?\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-762)\/4*1\/3*-2. Let m = 129 - o. What is the highest common divisor of 18 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -17*y**5\/120 + y**3\/3 + 111*y**2\/2 - 144*y. Let w(r) be the second derivative of h(r). Let d(o) = -o. Give w(d(v)).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/132*93 + 9\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20350 (base 7) to base 4.\nAnswer: -1031320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171096 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = -3*l, -2*l + 20 = 2*x - 4*l. Suppose -4*j + 33 = 5. Let i = x - j. Which is the smallest value? (a) i (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 97 - 97 = -176 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 49 = -21*w. Solve 0 = -w*l - 3*k - k - 4, 17 = 3*l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*x, 6*u - 9*u - 4*x = -14. Solve -4*b - 14 + u = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5803769582 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = h + 111, -60 - 96 = -4*t + 4*h. Suppose -t = -3*r - 3*n, -3*n = -0*r + 5*r - 54. Calculate the remainder when 24 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2322 - 130688?\nAnswer: -133121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 439579?\nAnswer: -24\/439579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -361219 divided by 29\nAnswer: -361219\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53145320 and 60250?\nAnswer: 1328633000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*m + m**2 - 3*m**2 + 11*m + 0*m**2 - 2 - 2*m**3 to the form y + f*m**2 + i*m + d*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*5*(-6 - -5). What is the second derivative of 17336*b**3 + i*b - 2*b**2 - 17336*b**3 + 2 + 28*b**5 wrt b?\nAnswer: 560*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 8 (b) -3\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17301859 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 7*r - 3. Let y = -755 + 760. Let q(f) = -3*f**2 + 5*f + 2. What is y*w(z) + 7*q(z)?\nAnswer: 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 3) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = i - 11, -i - 4*v + 4 = -10. Suppose -p + 2*g + 53 = 0, 6*g - i*g + 196 = 4*p. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1150.\nAnswer: -2\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-35)*-21 + (-28900)\/4640 + 3\/24\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Suppose 5*s + 26 = a*g + s, -4*s - 20 = 0. Suppose -3*m - 33 = -k - m, k = -g*m + 33. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132774055.\nAnswer: 5, 23, 127, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -30. Let t = a - -7.9. Let o be ((-1)\/5)\/(4\/(-10)). What is the second biggest value in t, -4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*r + 27, 0*l = -4*l - 3*r - 27. Let t = l + 22. Let -45*s - 196*s**4 - 406*s**3 - 8*s - 40*s + t*s - 282*s**2 - 8 = 0. What is s?\nAnswer: -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -3*a - 2*w, -19*w + 23*w + 360 = 4*a. Let b(s) = -s**3 + 7*s**2 - 6*s + 2. Calculate the smallest common multiple of b(6) and a.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -8435, -24794, -54395, -101102?\nAnswer: -168779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5793573553 to the nearest integer?\nAnswer: 76116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**7\/42 - z**4\/12 - z + 3. Let o(y) be the first derivative of t(y). What is the third derivative of o(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 1031996.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 731*l**2 - 1804*l + 6195. Calculate c(-363).\nAnswer: 2202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 44 + 49 - 3 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9640 - -9639.986672. What is r rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 64560?\nAnswer: -64542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48696.\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.533?\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 25 + 26 + 25 = 0. Let d(q) = -3*q**2 + q - 5. Let c(s) = -s**2 + s - 1. Let x = -1 + 2. Let g(r) = x*d(r) - 4*c(r). Give g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = d. Suppose 3*t - 209 + 83 = 3*a, -166 = -4*t + 3*a. Calculate the remainder when t is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 7*q - 6. Calculate l(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 7 - 4*v)*(4*v**3 + 4 - 4).\nAnswer: -16*v**4 - 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*z + 81 = -71 - 558 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -533087\/58 - -9192. Let w = y + -10\/29. Which is the third biggest value? (a) w (b) -4 (c) 8\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3.9, 1, 3\/7, -5\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(2\/143)*(a\/(a\/((a\/(a*a*a\/a**(5\/4)))\/a)))\/a**(2\/21) assuming a is positive.\nAnswer: a**(-7407\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 557 = -17443. Let h be x*(-1 - 3)*-20. What is h rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:53 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 4*k**4 - 4*k**4)*(63 - 8 - 33 + (0 - 5 + 4)*(2 + 1 - 1)).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 + 101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/2) + (-75)\/125\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170658 by -5.\nAnswer: -170658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = k. Suppose k*i = 39 + 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 4*b + 2128004, 1596002 = -3*v - 2*b. What is v rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/13047875 and -11\/225.\nAnswer: 117430875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, -2, 5, 3, -187?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222211001 (base 3) to base 7.\nAnswer: 333523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 4*g - 2*g + 3*g + 1. Let u(f) = 5*f - 7. Let r(h) = -6*q(h) - u(h). Differentiate r(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 781350487 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zffiubiu. Give prob of picking 1 u, 1 f, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.03 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4332074 and 8062?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*q = -30, -2*i + q - 2*q - 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1669 in -3\/4, 0.6, -2\/11, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 3*i**2)*(-622*i - 348 + 623*i - 365).\nAnswer: -3*i**3 + 2139*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*n + 71, 0*n + 65 = -4*l + 5*n. Let v be l\/8*12\/(-165). Put v, -2\/11, 1 in ascending order.\nAnswer: -2\/11, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240428 or 240425?\nAnswer: 240425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -3, -1 in decreasing order.\nAnswer: 2, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Suppose -6*d = -2*d + v*k + 160, -5*k + 160 = -3*d. Let y = 84 + d. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 - 4*d + 2. Suppose 3*r = 5*r - 4. Let n(m) = m**2 + 4. Calculate the remainder when h(r) is divided by n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(2 - -3*2\/(-12)). Let m be f\/4*(-6 - -6). Suppose 5*j - 10 = m, 4*i - 2*j - 6 = j. Solve 6 + 9 = -i*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:38 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107365*g + 2998*g**2 - 107365*g.\nAnswer: 2998*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 + 5692*c**4 + 809332*c**3 + 5792472*c**2 - 1522939698*c + 20833212204 = 0.\nAnswer: -89, 21, 2982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2065*d + 465 - 465.\nAnswer: -2065*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + u + 0*u - 64 = 0, 2*z - 20 = u. Suppose -z = -7*i + 13*i. Let q be i\/(-5) - 84\/510. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u\/((u*u**(-6)\/u)\/u*u))*u)*u\/((u*u*u**(1\/2)*u)\/u)*u)**33 assuming u is positive.\nAnswer: u**(429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 38.7. What is the second smallest value in -9\/4, l, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3545b (base 15) to base 16.\nAnswer: 29708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573*x - 452*x - 7974*x - 2353*x.\nAnswer: -13352*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*b = 791*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8177 less than or equal to -16351\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2984 + 1174 = -189*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*-2*sqrt(432) - (sqrt(432) - (sqrt(432) - (sqrt(432) + 1))*-6))**2.\nAnswer: 1008*sqrt(3) + 21209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from ziinizzziiniiz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -24. Let f be (32\/12 + p)\/(2\/(-12)). Let q(d) = d**2 - 11*d - 8. Is q(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -7*v**4\/24 + v**3\/3 - 17*v**2. Let a(g) = 6*g - 2. Determine -6*a(x) - 5*d(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/15 + (-8)\/(-3). Suppose 2*z + 6 = 4*q, 3*q = z - i + 6. Suppose -12 + q = -2*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - x + 1. Let q(u) = -23*u + 4 - 5*u**2 + 19*u + 0*u**2 + u**2 + 3*u**3. Determine -4*b(r) + q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 1\/4*p**4 + 23*p - 1\/2*p**2 + 0 + 2\/3*p**3 + 1\/60*p**5. Let b(r) be the first derivative of z(r). Determine b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*c + 13, -2*o = -5*c + 33 - 32. Let j(v) be the first derivative of -7 - 7\/2*v**4 + 8*v + 0*v**o + 0*v**3. Differentiate j(k) wrt k.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 34279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.5 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33524656 divided by -8381164\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17917.\nAnswer: 19, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15)*-25)\/(14\/12).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -967446.029529.\nAnswer: -967442.029529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 1 - 9, 4*y + 4*c = -48. Let m be -5*((-26)\/y + -3). Solve -v = -2*d - m*d + 23, 3*v = -9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 62*y**3 + 78*y**3 + 27*y**3.\nAnswer: 168*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236546303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwmnwnlnmmd. Give prob of picking 1 n and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388809594 to the power of 1\/2, to the nearest integer?\nAnswer: 19718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0669 times -198.4\nAnswer: 13.27296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -2, 4, -7.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, -0.1, 0.1, 42, -0.4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + n**2 + 0*n**2 + (4*n + 0*n - 2*n)*(0 + 3*n + 0) - 2*n - 13 + 2*n**2 + 9 + n to f + i*n**2 + y*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/3 + 145*x - 2. Let i(h) = -239*h. Give b(i(o)).\nAnswer: 478*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 + i - 4. Suppose 8*w = -19 + 59. Give f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 41980*j - 33 = -41979*j, 4*t - j = -19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 99*t + 102*t - 16 = 0, 4*f - 19*t = -99 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 4. Let h be (-4)\/(-12) - 2\/b. Solve 2\/11*x + 0 + h*x**2 - 2\/11*x**3 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -37 + 128 + -132?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 988 or 0.5657?\nAnswer: 0.5657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o - 640. Let t be d(0). Calculate the common denominator of -29\/72 and t\/45 + (-2 - -8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*a**2 + 57*a**3 - 298*a**2.\nAnswer: 57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcv when four letters picked without replacement from rcvr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -4 (b) 26 (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 23. Let k be y(5). Suppose h = 5 - 0. Solve -k*x + 5*c + 2 = -0*x, 0 = 5*x - 3*c - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1711*z**3 - 5*z**2 + 6*z - 2. Let o(m) = -1710*m**3 + 4*m**2 - 5*m + 2. Determine -5*i(t) - 6*o(t).\nAnswer: 1705*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1243, 1238, 1235, 1234, 1235?\n\"Answer: s**2 - 8*s + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/sqrt(99) - sqrt(5)) + -2*(3 + sqrt(5)))**2.\nAnswer: 32*sqrt(5) + 644\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -729*z - 7280. Calculate b(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 21*h**2 + 19*h + 25. Let c be q(20). Let m(f) = c - 9 + 2 + 97*f. Is m(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/1*(0 - -2). Let u = x + 48. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 214854423 and 122.319.\nAnswer: 214854545.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247854*d**2 + 145855*d - 3?\nAnswer: 495708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 2*x + x)*(-319 + 155 + 162 - 215*x) as i + d*x + h*x**2 and give h.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -5) + 140\/16)\/((-39)\/52).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 2 - 3) + 23 + (18 - 35).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/10*(-30)\/342?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Suppose -6*y + y + 5*g = -10, 5*y - 10 = 4*g. Let i(o) = 2*o - 2*o - 2*o**y + 0*o. What is w(i(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 269.52, 92, 0.05?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2431000 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 9*d + 16 = 3*v, 0 = -2*v - d - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/90 - ((-7)\/28)\/((-33)\/(-176))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10 and 1 + (-28)\/36 + 340\/(-45).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (-14 - (-11 + 12)) - -7 - -14.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -53. Let x(t) be the third derivative of 3*t**2 + w*t + 0 + 0*t**3 - 1\/8*t**4. Let u(l) = l. What is x(u(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}