diff --git "a/data/dm_maths/full_data_2/1581_11255.jsonl" "b/data/dm_maths/full_data_2/1581_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1581_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(v) = -v - 1. Let y(g) = 54*g**3 - 2*g**2 - 2*g - 3. Suppose 1 = 5*k - 4*h + 4, -3*h + 5 = -k. Let d(r) = k*y(r) - 3*m(r). List the prime factors of d(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-2800)*100)\/((-15)\/9*6\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -46. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4 = -7*x + 12*x, 4*x = -2*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdlpw. Give prob of sequence ldp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2080, 4165, 6264, 8383, 10528, 12705, 14920?\nAnswer: 17179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(9)\/sqrt(12))**2.\nAnswer: -5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103\/444 - -2\/111. Which is the third biggest value? (a) -1 (b) 5 (c) g (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/7))\/(t*(t\/t**(-2\/5))\/t))\/(((t\/(t*t**2\/t))\/t)\/t**5) assuming t is positive.\nAnswer: t**(241\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 3.04. Let b = -2.9 - s. Let j = b + 1.9. What is the third biggest value in -2, 0.3, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 - 10*a**3 - 4*a + 66572 wrt a?\nAnswer: 8*a**3 - 30*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 at most -793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 3. Let c(u) = -2*u**2 - 2239*u + 25. Determine -c(s) + 8*x(s).\nAnswer: 2*s**2 + 2231*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*i**2 + 5 + (-i - 3*i + 3*i)*(-39*i + 37*i - 277*i - 208*i) to m*i**2 + u*i + j and give m.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 + 20 + -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, -276, 40?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6294*t. Let y(s) = 33784*s. Give y(p(j)).\nAnswer: -212636496*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20433, 20431, 20429, 20427, 20425, 20423?\nAnswer: 20421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.1 (c) -0.2145 (d) -0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:49 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735872 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5634 + -0.3634. Let z = 0.2 - 0.4. What is the nearest to z in x, -5, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 8 + 16 = 0. Let m(s) = 2*s**2 + 2*s - 2. Let r be m(-3). Solve -3*i + r = o*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -1\/6*t**3 + 233*t + 0*t**2 + 1\/6*t**4 + 0. Let y(a) = -4*a. What is y(d(n))?\nAnswer: -8*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44555 is divided by 1839.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36354 + 16026?\nAnswer: 55413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 2*p - 2*p - 2*p**2 - p**3 - 1 + 3*p. Let n be s(-4). Let f(a) = 2*a**2 - 6 + 3 + n. Let j(o) = -7*o**2. What is j(f(c))?\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 5*z**2 - 5*z + 5. Let l(f) = 4*f**3 + 4*f**2 + 4*f - 4. Let o(r) = -5*d(r) - 6*l(r). What is o(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 9*c**5\/10 - 2*c**4\/3 + 227*c**3\/2 + 440*c. Find the second derivative of h(v) wrt v.\nAnswer: 108*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 46*h**2 - 50 + 18 + 14 + 58*h**2 - 102*h**2 + 13.\nAnswer: 2*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-1 + 0)*-1)\/9). Suppose 0 = 5*y + 3*i - 934, 5*i = -3 + m. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -252*w**2 + 41*w - 28. Give s(-3).\nAnswer: -2419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - u + 325 - 333 = 0, 5*o - 5*u - 40 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 23*s**2 - 14*s + 17. Let l be (119\/7)\/(-5 + 4). Let n(d) = 8*d**2 - 5*d + 6. Give l*n(f) + 6*u(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510235315 (base 6) in base 7?\nAnswer: -315411356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 n, and 1 v when four letters picked without replacement from {g: 1, l: 2, p: 5, v: 1, n: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i**4 + 3*i**3 + 5*i**2 - 2*i + 2371?\nAnswer: -144*i**2 + 18*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 735 and 11172.\nAnswer: 55860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 3)*-1.\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33208319 rounded to the nearest 10000?\nAnswer: 33210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleeleezmllejee. What is prob of picking 2 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + v - 13*v + 40*v)*(2*v - 2*v - 8*v).\nAnswer: -224*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60974.7 + 58405. What is d rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 - -0.03. Let u = -5.97 + 745.57. Let c = u + -740. What is the fourth smallest value in -1, 5, a, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 4, -3, -4, 714006?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-57)\/((-1083)\/3686) - (-1 - -8) is divided by 98?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o - 21*o + 91*o - 16*o - 29*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Let p = -5 + 10. Let z = 773 + -773.4. Which is the smallest value? (a) f (b) z (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5486, -10921, -16308, -21641, -26914?\n\"Answer: v**3 + 18*v**2 - 5496*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -12. Suppose -129 = -5*a + 6. Calculate the remainder when a is divided by 2\/3*(v - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128411.\nAnswer: 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6444 and -13\/7876.\nAnswer: 70884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/543 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = 4*z + 28 - 161 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.18872 times 0.383\nAnswer: -0.07227976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:48 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -d + 4*p + 4, 0 = -d + 5*p + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.1579 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -316, -760, -1492, -2506, -3796, -5356?\n\"Answer: j**3 - 150*j**2 - j - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**3\/6 - 2*i**2 + 9*i + 3. Give z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.6 at least as big as -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s. Let f(i) = -3*i**2 + 9*i. Suppose -t - 12 = 3*j, 5*t + j + 6 = 2. Suppose t = -0*b + 4*b + 8. Calculate b*f(a) + 5*z(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4956 and 0.\nAnswer: 4956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by -1061790.\nAnswer: 77\/1061790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -92000 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.6. Let j be -3*((-8)\/102)\/(-1). Let r = -9\/34 + j. Which is the closest to r? (a) -1\/5 (b) v (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.79, 1, -1\/4 in descending order.\nAnswer: 1, -1\/4, -0.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2295 - -2?\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let h = -11\/2 - x. What is the nearest to 2\/7 in 0.3, 5, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from ujtjujtvrujubjj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) -8 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24c + -73979?\nAnswer: -7372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -411602, -823135, -1234668?\n\"Answer: -411533*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 8*l + 0*l**2 + 0 - 8\/5*l**5 - 3*l**3 + 0*l**4. What is the second derivative of f(i) wrt i?\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71 times 47.586?\nAnswer: 81.37206","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 12*s**2 + 12*s - 13. Let c be k(11). Let o be 1\/(1 + (-1)\/2). Is 92 - (-12)\/(c - o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/7 + 1814458*c**2\/7 - 9072332*c\/7 + 7257872\/7 = 0 for c.\nAnswer: -907234, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/2 + 8 + -10. Let c be (6\/j)\/(2\/6). What is the second biggest value in -0.3, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -62, -47, -12, 49?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2ae67?\nAnswer: -2ae65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + r + 2. Let u(v) = 36*v**2 + 13*v + 14. What is 2*u(n) - 14*y(n)?\nAnswer: 2*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -41*c**2 + 17*c**2 + 20*c**2. Let q(z) = -2*z. Calculate q(i(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*b + 42 = k, -b + 56 = 4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 3. Let n be v(6). What is the common denominator of (339\/27)\/(2\/n) and 68\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, i: 4}. Give prob of sequence iyy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -c + 13*a + 6, 5 = 5*a. Solve -6*h + 20 = -c*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.2 - 7.4. What is the third biggest value in k, 5, 0.08, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, -336, -1553, -3268, -5487, -8216, -11461?\nAnswer: -15228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 76 = 26*j. Suppose b + j*b - 5*f = 7305, -2*b - 2*f = -2906. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/3)\/(2\/1). Suppose c = -x - 2*b + 12, -5*x = -4*b - 22 - 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -475863 (base 9) to base 12.\nAnswer: -119949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 2*f + 2*f + f - 2*f + 0*f + (4 - 2*f - 4)*(-6 + 0 + 4) + (-1 + 5 - 2)*(2*f + 2*f - 5*f) - 3*f - 6*f + 3*f as q + c*f and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1276944?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192.6 + -193. Which is the fourth biggest value? (a) 5 (b) -5 (c) 0.4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:00 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 93 = -145. Let k = 5 + -7. Sort -4, k, s, 12.\nAnswer: -4, k, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(80)\/sqrt(5))\/sqrt(8).\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15700789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3981, -7820, -11671, -15540, -19433, -23356?\n\"Answer: -o**3 - 3832*o - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171216 is divided by 16974.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = 0, -20*i + 16*i + 3*g = -11. Solve i*u + 20 = 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21354 or -21351?\nAnswer: -21354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -l + 14, l + u = 6*u + 19. Let c = 591 - 590. Put c, l, 31 in ascending order.\nAnswer: l, c, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -0.3, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s = -19*s - 2088. Is 54 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.2 (b) -3\/4 (c) 8.7 (d) -3.07 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/19 + 32218*k**4\/19 - 772170*k**3\/19 + 1447694*k**2\/19 - 707740*k\/19 = 0.\nAnswer: 0, 1, 22, 16085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 24 + 3*c + 71 + 3*c.\nAnswer: c + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1157628876 by 3.\nAnswer: 385876292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 30 = -s - 5, 0 = 3*j - 4*s - 14. Let g = -6 - -12. Let a = g - -1. Is a equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1005796*t**4 - 2*t**2 + t + 277996651 wrt t.\nAnswer: -4023184*t**3 - 4*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -5 + (-7 - -6 - -4) - -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c + 4*h, c + 3 + 4 = -4*h. Let z(t) = 258*t + 8261. Let m be z(-32). What is the nearest to m in c, 4\/3, -0.1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347 - -695. Let g = -236 + l. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Solve 0 = 3*l - f*b + 18, -2*b + 5*b - 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p - 3. Let f(b) = -30*b + 5. What is 3*f(s) + 5*l(s)?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 41*s**2 + 3*s + 2. What is the units digit of r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 4*x + 27 = m + m + 3*m, -x = -54*m - 486 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104192281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-2850))\/(6\/558) + 3\/6\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527204 at most 527204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -125 (b) 0.5 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131607 - -42114?\nAnswer: 173723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55429ml in litres?\nAnswer: 0.00055429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-14)\/(-756)*51\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 - (3 + 790\/(-234))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2363, -2365, -2367?\nAnswer: -2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.78 + -38.25. What is d rounded to 0 dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 20*m**2 - m - 8. Let h(v) = -8*v**2 + v + 1. Determine 2*h(l) + w(l).\nAnswer: 4*l**2 + l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160213261 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.4, 191\/3 in ascending order.\nAnswer: -14, 0.4, 191\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 2186*q**3 - 2188*q**3 - 9 + 5 + q**4 + 8*q**2 - 23*q**2 to g*q**2 + i*q**4 + h*q + w + a*q**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-42))\/(8\/4))\/(10\/(-90)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + -2 - 0 - (17 + (-58 - -33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b - 4773. Let x(g) = -25*g + 7160. What is 7*s(i) + 5*x(i)?\nAnswer: i + 2389","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173310383 + 166108295.3. Let j = o - -7202086.16999893. Let m = j - -1.53. What is m rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15 - (762768\/(-20))\/(-3). Is 2\/(-3) - p\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -950229*p**3 - 1612*p + 387 wrt p.\nAnswer: -5701374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 4 = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*c**2 - 6*c**2 - 7*c**3)*(c - 7*c + 3*c) + 3*c**4 + c**3 - c**3)*(-4 + 4 + 2*c).\nAnswer: 48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3251, 6483, 9735, 13019, 16347, 19731?\n\"Answer: 2*y**3 - 2*y**2 + 3224*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, -2\/5, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 65, 55, 31, -13, -83?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*i - 17 = 0, -4*b + 0 = -2*i + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 18*b + 7*b + 5 - 4*b - 7. Let c be k(-11). What is the common denominator of (3\/2)\/(c*(-2)\/213) and 121\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-24))\/(2\/(-9)). Let l = 1\/24 + x. Which is the second smallest value? (a) -1\/8 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 - i**2 + i + 1. Suppose -1 = s - 0. Let x be g(s). Solve -x*v - 5 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 7*j**4\/6 - j**3\/6 - j**2 - 8*j. Calculate the remainder when y(3) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -449057 by 1148.\nAnswer: -64151\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 602971250 a multiple of 8750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 76. Let k = 152 + z. Let r = k - 98.9999834. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*w + 855 = 163*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/2835)\/(((-25)\/(-35))\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from cxpet?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f**3 - 84*f**3 - 41*f**3 + 4*f - 4*f - f**3.\nAnswer: -92*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19608687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 7. Let i be 2 + -1 + -2 - p. Suppose -3*v + 83 = 5*g, g + i*g = v - 23. What is the greatest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6445 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 1395, 1394, 1393, 1392?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -312, -10, -2 in descending order.\nAnswer: -2, -10, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 5*o - 3. Let i be l(3). Suppose 3*q - 78 = i. What is q rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 1632167474136.\nAnswer: 1632167474135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -60, -65, -72?\n\"Answer: -l**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 75584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvdd when four letters picked without replacement from dhdhhdlvbddddlldddl?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 t when four letters picked without replacement from {i: 3, j: 1, t: 2, k: 4, p: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 15641.\nAnswer: 15638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/1071 - (-22)\/(-374)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w - 24. Let y be m(10). What is the highest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-six fifths of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3064*y. Let w(h) = 1584*h + 1. Determine w(j(z)).\nAnswer: 4853376*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -26, 89, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2.1 (b) 0 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/667? (a) 12 (b) -0.1 (c) 3\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*9\/180)\/((-1)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(1*sqrt(567))**2.\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460926916 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*w - 41*w**3 - 36*w**3 + 42*w**3 wrt w?\nAnswer: -210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:52 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 417 = -3*r + f, 0 = 4*r - f - 571. Let h = r + -90. Calculate the highest common factor of 90 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3171445, 6342889, 9514333, 12685777, 15857221, 19028665?\nAnswer: 22200109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167797218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppgagqaalxp. What is prob of picking 1 a, 1 q, and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let t(w) = -133*w**2 - 6*w. Determine t(n(b)).\nAnswer: -532*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 - s**3 + 2*s**2 - s + 1. Let d be w(2). Solve -4*c - h - 20 + 3 = 0, 3*c + d*h = -24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let d(n) = -n**3 + 11*n**2 - 4*n + 46. Let s be d(11). What is the lowest common multiple of 3 + s + -3 - u - -17 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*b - 388*b - 336 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 7) + (5 - (-12 - -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83985*q + 36416*q - 12209*q - 86122*q.\nAnswer: -145900*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -2*t - 87 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 + 5*v**2 - 18*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 208836363 divided by -69612121?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*m - 8*m + 2340. What is the highest common factor of m and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/19 + 540*h**3\/19 - 87454*h**2\/19 - 16727040*h\/19 + 1919025152\/19 = 0.\nAnswer: -256, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*m - 7*m. Let k = m - -5. Let o = 6 + k. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*q**4 + 38*q**2 - 38*q**2)*(-3*q + 0*q + 8*q + 6*q - 3*q - 4*q + (5*q - 4*q - 2*q)*(-3 + 0 + 4) - 2*q + 2*q - q).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 393042 divided by -196521?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21719*a - 49088 = 18651*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*u - 152*u - 5225 - 3762 = -113*u for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + l + 8 = 0, 4*l = -2*c + 1 - 5. Calculate the common denominator of c + ((-532)\/40 - 0\/2) and -27\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2436\/5275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300645.\nAnswer: 5, 19, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.84 + 94.34. Let h = -36 - -36. Put h, 7, -1, b in descending order.\nAnswer: 7, h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 14\/13 (b) 2\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 17, m: 1}. Give prob of sequence om.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47400 and 12.\nAnswer: 47400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1 + sqrt(275) - sqrt(275)) + -4.\nAnswer: -3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d8 - -3adcd?\nAnswer: 3acd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.08. Let z = l - -1.98. Let k be 2\/(-11) + (0 - 0). What is the smallest value in z, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 5 + 4*h - 2*h)*(-1 - 2*h + 1) in the form w*h + p + s*h**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (-47 - -46).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z, 0 = 5*p - 4*p - 3*z - 13. Suppose -3*q = -p*q. Solve q = u - 5*u + 5*x - 12, u + 3 = -x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6524806 to the nearest integer?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93527204?\nAnswer: 2, 29, 806269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/7))\/b*(b\/b**(-11))\/b)\/(b**(-7)*(b\/(b\/(b*b**(1\/4))))\/b) assuming b is positive.\nAnswer: b**(489\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*a = 28, -218*s + 14 = -220*s - 4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -168, 0, -12 in descending order.\nAnswer: 3, 0, -2, -12, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000383 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69, -72, -75, -78, -81, -84?\n\"Answer: -3*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 9, 1\/6, -39995 in decreasing order.\nAnswer: 9, 1\/6, -0.15, -39995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 38, 47, 56, 65, 74?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 214952 + 0.01192.\nAnswer: 214952.01192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -667049\/125664 + 1226\/231. Let h = -6\/187 - q. Let y = 31743 + -31744. Is h greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -2, 0.3, -0.003, -6\/11, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601282520 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - q + 2. Let s(r) = -4*r**2 - 58*r + 33. Let i(h) = -3*l(h) + s(h). Find k, given that i(k) = 0.\nAnswer: 1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16070*w**3 + 16895*w**3 - 31986*w**3.\nAnswer: 979*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 1972*o + 9846. What is n(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.291 + -0.291. Let j be 20\/(-9) - 12\/(-54). Let i be 3\/(-9) - j\/2. Which is the nearest to -3? (a) i (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 - (52\/(-45))\/((-23)\/115)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106597696.5832805407944 - -44.4167188592056. Let h = o - 106597754. Let g = h - -13. Round g to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 25*z**6\/6 - 65*z**3\/3 + 85. Find the third derivative of p(o) wrt o.\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z + 8. Let u be o(4). Let n be 6*(u\/9 + 1). Put 1, n, 3 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -11.7, 7\/2, -2, 65?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwdrhdyhhwww. Give prob of sequence hy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -4624 in ascending order.\nAnswer: -4624, -20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -217409479584.\nAnswer: -217409479583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1767 and 1140.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22457 divided by 22457?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 2*z = 10, -3*k - 5*z = -1. Suppose 0 = 5*d + 20, d = 3*g + k - 9. Suppose -g = -6*i + 5*i. What is the lowest common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - -51. Let l = r + 32. Let d = -81 + l. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376.27 - 375. Let n = x - 1.57. Let h = -51\/2 - -149\/6. Put h, n, 2 in ascending order.\nAnswer: h, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.084, -0.5, 18, -0.1 in descending order.\nAnswer: 18, 0.084, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*d = 2*c + 18, 5*c = 5*d - 5. Let i be -2 - (2 - (0 + -3)\/3). Sort i, -4, c, -13 in ascending order.\nAnswer: -13, i, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(208)\/sqrt(4))\/((sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(3)) - 3*(5 + sqrt(1300)*1)**2)*-3.\nAnswer: 897*sqrt(13) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 653, 651, 649, 647, 645?\n\"Answer: -2*i + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + (-7 - 0). Let l = p - -4. What is the remainder when 5*2 - 0\/l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27225\/(-132))\/(-55))\/(6*4\/64).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = y - v, 5*y - 25 = -2*v. Suppose g = 4*g + s + 3, g - y*s - 15 = 0. Solve -3*z - z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1049, -1030, -989, -920, -817, -674, -485, -244?\n\"Answer: b**3 + 5*b**2 - 3*b - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 = 154*k - 336 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p. Let t be h(5). Let b(s) = 102*s + 10424. Let x be b(-102). Calculate the highest common divisor of x and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 4165*i**2 - 12482*i - 16648 = 0. Calculate i.\nAnswer: -1, 4, 4162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3227581 divided by 49?\nAnswer: -65869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:41 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + 15 - (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2164*b + 4333*b - 2141*b)*(-13*b + 13*b - 19*b**3).\nAnswer: -532*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-30))\/(((-2088)\/(-83520))\/((-1)\/(-4))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316007881?\nAnswer: 7, 233, 193751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 0.9524354956.\nAnswer: 3.9524354956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001095643759 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253019.\nAnswer: 13, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 37*g**4 + 45*g**4 + 2 + 2*g as c*g + b*g**3 + j*g**2 + x + o*g**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1976.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27105653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018357 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (0 - -13 - ((-2 - -16) + -17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + k + 40144, 0 = -5*b - k - 8801 + 58990. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = 3*s + 8*z, 0 = -7*z + 4*z + 31 + 29 - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112508188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 4*a = -31*x + 48, -8 = -2*x + 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*k + 30, 4*o - 4*k + 438 = 366 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:50 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 - 7*n - 7. Suppose -54 = -3*w + 2*v, w - 5 - 13 = -3*v. Calculate the remainder when y(-5) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7247*a + 13478*a + 1841809 = 4003*a + 119443 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - u - 1. Let s be c(2). Let z = 7 - s. Suppose -z*l + 42 + 4 = 0. What is the highest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11818 less than or equal to -11802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -181 or -16737\/92?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527239.3m to nanometers.\nAnswer: 527239300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 41, 1805, -1235 in ascending order.\nAnswer: -1235, 3, 41, 1805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**2 + 9 - 9 + (3*g + 2*g - 2*g)*(-3 + 3 + g))*(2 - 12 - 7).\nAnswer: 119*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -1 + 4 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 220\/1247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:35 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 32*l - 4. Let q(z) = 2*z**2 - 688*z. Determine s(q(m)).\nAnswer: 64*m**2 - 22016*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**3 - 747 - 668*q**4 + 667*q**4 - 3653 + 4*q**3)*(-2*q + 1 - 1).\nAnswer: 2*q**5 + 8*q**4 + 8800*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*p - 4 = -123*p, -2*j - 5*p + 13 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5326*-0.4.\nAnswer: -2130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwewktwtkweeeexewkew. Give prob of picking 1 x, 1 t, and 2 k.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 3 - 3) + (77 - 24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k**(1\/6)*k**2*k*k*k**(-9\/4)*((k**(2\/7)\/k)\/k**(-1))\/((k*k**(-2\/7))\/k*k)**1 assuming k is positive.\nAnswer: k**(-379\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = -7*s - 25004. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3306 - 482*v + 0*v**2 - 3*v**2 - 3306 in the form p + x*v + u*v**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001425 to 6 dps.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 4*m - 12, 5*n = -4*m + 51. What is the first derivative of -3*p**2 + 19*p**2 + 0*p**2 - n wrt p?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 27 + 70*s - 358*s**4 + 32 + 11 + 1580*s**4 wrt s?\nAnswer: 14664*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 + 19*k + 51. What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 16) to base 2.\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**5 - 24166323*r**3 + 1875069*r**2 + 22 wrt r.\nAnswer: 240*r**2 - 144997938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**2 + 11*o + 9. Suppose 55 + 10 = 5*u. Let i(y) = -5*y**2 + 5*y + 4. Let z(t) = u*i(t) - 6*s(t). What is the units digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -19 - (32 + 1 + -2 + 6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose 3*o = 4*k + 64, 155 = -t*o + 8*o + 3*k. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2866228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46960811 is divided by 11740198.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6189 + -6187. Sort 4, 12, h, -9 in decreasing order.\nAnswer: 12, 4, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.038 and -476.\nAnswer: 18.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) - (2*sqrt(200))\/sqrt(4)) + sqrt(50) - (0 + sqrt(50) + -1)) + (5*(sqrt(150)\/sqrt(3) - sqrt(50)) - (1*sqrt(50) + 4)))*4.\nAnswer: -40*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:06 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.5 (c) -6 (d) -2.91 (e) 4\/3 (f) -0.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -45*z**2 - 11. Let d(s) = 4*s**2 + 1. Let u(h) = 11*d(h) + w(h). Let p(x) = 18*x - 82*x - 34*x. Calculate u(p(f)).\nAnswer: -9604*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 8*t - 7. Let v(h) = h**2 + h - 5. Suppose -5*s + 5 = -a, 4 = -3*a + s + 3. Let g be v(a). Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9312 - 8861. What is the remainder when j is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5\/3 + 34*l**4\/3 + 83*l**3\/3 + 82*l**2\/3 + 20*l\/3 - 8\/3 = 0.\nAnswer: -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 - 0.3.\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507935199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004177678 to seven decimal places.\nAnswer: -0.0004178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 196 = -2*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 9. Let m(v) = v + 8. Let k = 23 - 29. What is k*p(h) - 7*m(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-1359)\/105 + 93952\/2240 + -42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 3. Suppose -3*s + 3*l - 12 + 192 = 0, 155 = 2*s + 5*l. Suppose 4*y = 3*m - 27 + s, 3*m = -5*y + 7. Let p(z) = z + 4. Give m*g(b) - 5*p(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -211000221 (base 3) in base 10?\nAnswer: -16063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763839834 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.89 + 14.889587. Round y to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*p + 434*p = -63. Let t(b) = b + 8. Let f(u) = -3*u - 23. Calculate p*t(x) - 2*f(x).\nAnswer: -x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 58868*r**2 + 2758144*r + 2699280.\nAnswer: 4*(r + 1)*(r + 46)*(r + 14670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 4090912*v - 1045972561984 = 0 for v.\nAnswer: -511364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -548\/49, -0.3, -4?\nAnswer: -548\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2503\/30 - -167\/2. Suppose -5*s + 5 = 10. Is s smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = 6*k, 0 = -4*v + 33760*k - 33765*k + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 72, -67, 3, -55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*u + 4 - 4)*(1 + 1 - 1)*(-5 - 6 + 5) as d + s*u and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t - 16. Let d be p(7). Suppose -d*r + m + 1265 = 0, 459 = -4*r + 4*m + 1471. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 - 3*w. Let f = 6 - 0. What is the least common multiple of h(f) and (-4 - -3)\/(((-310)\/(-690))\/(-31))?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 - 359. What are the prime factors of ((-2001)\/i)\/((-15)\/30)?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/14*28812\/10290.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 33*l + 24. Let t be d(9). Suppose 2*b + 5*v + 2 = -2*b, b = -5*v - 8. Calculate the lowest common multiple of 6\/(-15) - 1812\/t and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Let f = -261.9752 - 0.0248. Let s = -267 - f. Which is the fourth biggest value? (a) u (b) 2\/3 (c) s (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by 138\nAnswer: -97\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*n - 14398, 2*y - 62*n - 9573 = -57*n. Calculate the remainder when y is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/7)*x*x**(-1\/5)*x*(x*x**(2\/7))**(-1\/60) assuming x is positive.\nAnswer: x**(229\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 23. Let h be j(10). Let s(k) = 3*k + 9. Let t be s(12). Let o = -133\/3 + t. What is the closest to h in o, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*b = -81, -6*l + l + 4*b + 102 = 0. Suppose -z - l = z. Let h = z + 16. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhk when three letters picked without replacement from {u: 1, h: 4, x: 4, k: 6}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**2*n**2 + 8264*f**2*n + 3*f*n**2 + 317*f - 10*n**2 - 3 wrt f?\nAnswer: -44*n**2 + 16528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505 (base 10) in base 11?\nAnswer: -1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105499, -105498, -105497, -105496, -105495?\nAnswer: -105494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8906908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-2))\/((-7)\/14). Let j = b + -3. Let a(r) = -r - 8. Let w be a(j). Solve -3 = -x, 2*c - 2*x + 0 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.034 in -31\/8, 5, -2\/17, -109?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*i - 10 = 0, -1 + 7 = y + 2*i. Suppose -5*k + a + 321 = -y*a, 0 = 4*k - 2*a - 258. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2. Let l(q) = -6*q**2 + q + 10. Suppose -102*a + 97*a = -5, 2*h - 26 = -4*a. Calculate h*g(k) + 2*l(k).\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15690533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 279458 and 6?\nAnswer: 279452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/5 + 338*l**4\/5 - 15818*l**3\/5 + 114398*l**2\/5 + 997612*l\/5 - 4892944\/5 = 0.\nAnswer: -7, 4, 14, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 2190147*c + 2190147*c + 528)*(2 + 1 - 5) to w + q*c + i*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5836885 is divided by 291844.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 16 = 5*q + 2, 4*q + 16 = 0. Solve -4*g = 3*b - g, g + 2 = -r*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 5) + 1 - 15. Let w be d\/(-3) - (-2)\/(-6). Suppose -5*r = w*q - r - 244, 0 = 2*q + 4*r - 88. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 16*b**2 + 27*b - 165. Let j be v(17). Solve 4*n + m - 10 = -0*m, -5*m = -j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97.973 + -98. Let p = -1.707 - d. Round p to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -4.77.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.338 - -3.042. Let r = t - 3.380298. What is r rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 703*t**3 + 4661*t**2 - 2506*t.\nAnswer: -t*(t - 358)*(t + 7)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -2.3. What is o rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 52*n - 1594. Suppose d - 3*d = -2. Calculate the least common multiple of (1\/(-2))\/(d\/(-14)) and u(31).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(17) + ((sqrt(68) + (sqrt(68) - (sqrt(68) + -1*sqrt(68))))\/sqrt(4))**2 - (sqrt(2448) + -2*sqrt(2448))**2*-6.\nAnswer: sqrt(17) + 14753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4268197721 and -0.3116.\nAnswer: 4268197720.6884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 544?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 20*s**2 + 139*s - 1\/3*s**3 + 1. Differentiate x(k) wrt k.\nAnswer: -2*k + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6235595*s**5 + 973674*s - 5 wrt s.\nAnswer: -124711900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528.7623 - 1040.22987.\nAnswer: -511.46757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137220 or 2\/11?\nAnswer: -137220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 10. Let p be t(-6). Let w(z) = z**3 - 6*z**2 - 2*z - 2. Let y be w(8). What is the lowest common multiple of (48\/(-30))\/(p\/y) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 1111*y - 150*y + 8 - 316*y to the form a + v*y**2 + t*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -1 (c) -2\/7 (d) -0.07 (e) -1258 (f) -13 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 76*j + 41. Is 3 a factor of y(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -12. Let p(y) = y**2 + 12*y - 2. Let m be p(-12). Sort 7, m, a in ascending order.\nAnswer: m, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) 0.06 (c) 5 (d) 2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028506 is divided by 2316?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 95?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 5, q: 8, i: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -5.5, 35129?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 5. Let q be (l\/2*4)\/2. Suppose -2*z + q*z - 66 = 0. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011 - -110111?\nAnswer: -1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, l: 7}. Give prob of sequence hh.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let a(b) = 12*b + 66. Give i(a(c)).\nAnswer: 288*c**2 + 3168*c + 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 85 - 34 - k**2)*(-2 + 2 - 2*k**2).\nAnswer: 2*k**4 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(59\/885)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16692019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116503*w - 116198*w + 17385 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -5*n**6\/6 - n**5 + 5*n**4\/4 + 5*n**3\/3 + 60. Factor m(q).\nAnswer: -5*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10228*p + 245491. What is i(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575173386?\nAnswer: 2, 3, 101, 35153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -78.000174. What is x rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0774 and -74.\nAnswer: -73.9226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*h + 5*c, -3*h + 3*c - 4*c = -49. What is the remainder when 132 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) -0.4 (c) -14 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 45, 54, 51, 30, -15, -90, -201?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, q: 1, z: 1, v: 1, s: 2}. What is prob of sequence lqv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 6*o + 5 + 2*o**2 - o**2. Let a be y(-4). Does 8 divide 2\/a*66\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3808, -6837, -9866, -12895, -15924?\n\"Answer: -3029*g - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -3*g**4\/4 - 29*g**3 - 165*g**2\/2 - 81*g + 292. Let d(c) = 0. Calculate c.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*(41601\/966 - 43)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 2*p + 10, -3*p + 15 = 3*o. Let x(y) = -y**2 - 5*y - 2. Let h be x(-4). Suppose -3*v = h*v. Solve o = -v*g - g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let x be b*(2 + -8 + 1). Solve 3*t = x*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10022030 - 21?\nAnswer: -10022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {f: 1, e: 1, d: 1, y: 1, q: 2, a: 9}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 380143649 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from hhfbbhbhbbhbb.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 - (-3 + 1 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1542974 divided by 26603.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19\/3 (b) 10 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60c + -1b?\nAnswer: 5f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1109\/3342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/12 + q**3 - q**2. Let b be (-9 - -8) + (1 - 4). What is y(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + q + 11, 537*m = 542*m + 4*q + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose 5*p - c*p - 48 = 3*j, -59 = -4*p + 3*j. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486468685 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*h + 31 = -0*b, -h - 1 = 0. Solve 26 = -22*q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(1\/5))*j**(-1\/11)*(j*(j*j**(1\/3))\/j)**(3\/29)*(j**(-4)\/(j*j\/j**(-2)*j))\/((j**(-3)*j)\/(j\/j**(-2\/5))) assuming j is positive.\nAnswer: j**(-9176\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2)*(-7)\/14. Let p = 25.9 + -27. Let i = p + 0.1. Which is the closest to i? (a) 4 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -165996136618?\nAnswer: 165996136615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103225711 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 25. Let i(f) = -f - 26. Calculate 3*i(c) - 4*y(c).\nAnswer: c + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7580921.593 - -1.645\nAnswer: 7580923.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4608*v + 2141*v + 8725*v + 4991*v as q + g*v and give g.\nAnswer: 20465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488457.\nAnswer: 3, 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 70*t**2 + 245*t.\nAnswer: 5*t*(t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -9.8. Which is the second biggest value? (a) 0.5 (b) g (c) 0.3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 72\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15752 + 610?\nAnswer: 16062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -14. Suppose -28 = -q*b + 4*z, 3*b - 41 = 5*z - 4. Solve 0 = w + b*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:23 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:21 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -49, -90, -151, -238?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t - 111. Let r be c(3). Let s = 255 + r. List the prime factors of s.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32711813 to 2 dps.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 1 + 1 + (3*p**2 - 3*p**2 - 2*p**2)*(1 - 1 - p**2).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(8\/7)*x))\/x)\/x)\/x*((x*x**(1\/6))\/x)\/x)**(-2\/33)*(x**(3\/8)*x*x**(-3\/7)*x)**(-1) assuming x is positive.\nAnswer: x**(-8783\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 5*j**2 + 2*j. Let b(k) = 4*k**3 + 11*k**2 - 5*k. Let y(c) = 2*b(c) + 5*m(c). What is the third derivative of y(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 810, 1499, 2188, 2877, 3566, 4255?\n\"Answer: 689*k + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*w + 3 = -0, 0 = -5*f - w + 17. Suppose -214*k = -140*k - 740. Solve -f*q = -6*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 * 0.5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k + 15*k - 2*k + 11 - 5*k wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from {q: 7, s: 1, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.3. Let o = -484 + 486.93. Let d = -0.07 - o. Sort 3, d, a.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*d*h**2*v + 2*d*h + 2*d*v - d - 16*h**2*v - 2*h + 159*v + 1 wrt h.\nAnswer: 58*d*h*v + 2*d - 32*h*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/2*4780\/(-478)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -11598*l**2\/5 + 1167*l - 18\/5 = 0.\nAnswer: 6\/1933, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 434956783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -126 (c) -2 (d) -0.01 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42852*r**2 + 16756*r?\nAnswer: -85704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.3106\nAnswer: -2.1742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -19\/575?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-18))\/((-12)\/8))\/((-42)\/((-2646)\/(-7)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-710)\/(-45) - 2\/(-9). Suppose h = 4*m - 4*h - b, 16 = 4*m - 2*h. Solve -m*a - 5*p = 25, 3*a + p + 10 = -p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13027, 13212, 13385, 13540, 13671?\n\"Answer: -l**3 + 192*l + 12836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1111*f - 1595. Let c(n) = 37*n + 53. Let h(j) = 121*c(j) + 4*g(j). Let a(x) = -4*x - 4. Give 51*a(i) + 6*h(i).\nAnswer: -6*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7.3. Let j = -0.4 - k. Let w = 0.33 - 0.03. Which is the second smallest value? (a) -3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 + 0*v**3 + 3*v**3 + v**2. Let g be m(1). Let h be ((-93)\/33 - g) + 3. What is the smallest value in -2\/5, h, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212\/27 or 9?\nAnswer: 212\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833962 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 8. Let s be b(-7). Let m be s\/(-3) + 13166\/42. Let h = m + -14111\/42. Find the common denominator of h and 137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.9149685 to 2 dps.\nAnswer: -250.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*h - 58. Let n be 7\/(49\/2) + 792\/21. Let m be (3\/45)\/(n\/h*-3). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -39, -41, -43?\n\"Answer: -2*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let o(z) = -z. Let l(s) be the first derivative of s**2\/2 + 2*s + 1. Let d(j) = x*l(j) + 2*o(j). What is the first derivative of d(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 4\/68)\/((-5)\/(-21765)). Let i = t + 256. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t**5\/7 - 18244*t**4\/7 + 598060*t**3\/7 - 4765118*t**2\/7 - 3401785*t\/7 + 1979650\/7 = 0. Calculate t.\nAnswer: -1, 5\/13, 17, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 40*w**4 + 115*w**3 - 2605*w**2 + 2450*w = 0.\nAnswer: -10, 0, 1, 49\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/12 - q**4\/24 - 2*q**3\/3 + 2*q**2. Let t(o) = -o**2 - 7*o - 8. Let y be t(-5). Does 11 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 9. Let o be w(10). Let u be (1\/(-2) - o)*0. Suppose u*s = 5*s - 20. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from uaaaduaaadaud?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (14 + (2 - 7)) - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355861.\nAnswer: 13, 104297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 1, 0.27, 30, 2\/15, -2\/11, -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 26*k + 2820. What is the hundreds digit of i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 41 = 39*b - 44*b, -5*o + 105 = -5*b. Calculate the smallest common multiple of o and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13080930 divided by 159?\nAnswer: -82270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16)\/sqrt(2))\/sqrt(2)*2)\/(sqrt(162)*1*-2 + sqrt(162)) + -2)**2.\nAnswer: 8*sqrt(2)\/9 + 332\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 22952*r + 65849288.\nAnswer: 2*(r - 5738)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 1. Let t(j) = 2*j**2 - 17*j - 4. What is the remainder when v is divided by t(10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 2*j - 12. What is r(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1764 - -111. Let y be (-1612 + -2)*46\/138. Let d = g + y. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 1, n: 5, i: 1, t: 1, a: 2}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.482*0.1\nAnswer: -0.0482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + y**2 + 12*y**2 - 6*y**2)*(-y - y + 5*y).\nAnswer: 21*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 110715.\nAnswer: 110715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172494, 172469, 172444, 172419, 172394?\n\"Answer: -25*b + 172519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 + 20*l + 14. Let u be a(-6). Solve 3*r + u*w + 14 = r, 3*w + 11 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-60))\/((-364)\/(-936)*18\/(-3))?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*u. Suppose -5*o + 14 = -3*j, -u*o + 2 = -3*j - 0*o. Let l(i) = 544 - 544 - 2*i**j. Let q(h) = 4*h. Give l(q(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 - 2*v**2)*(42*v**2 - 4 + 4).\nAnswer: -84*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1702, 2\/25, -0.41?\nAnswer: -1702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**8\/56 + n**4\/4 + 4*n + 2. Let h(i) be the first derivative of j(i). Find the third derivative of h(x) wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13 = 15, -3*y = h - 21815. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3*y - 50477345*r**3 - 4*r**2*y + 1636059*r*y with respect to y.\nAnswer: 2*r**3 - 4*r**2 + 1636059*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1334530747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m + 202 = 0, 3*x - 63 = 2*m - 197. Is -1*1\/(-3) + (-8848)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 198\/36 - (-3)\/2. Suppose 0 = -8*m - l*m + 60. Solve 5 = m*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155553011473 minus 1?\nAnswer: -1155553011474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*h - 899*h - 572 = -464*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d - 1. Let s(g) = -2*g**2 - 8*g + 4. Let z(v) = -k(v) - s(v). Is 10 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-144)\/21)*(-288)\/1008.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18 = -23. Let k = -36 - d. Solve 5*o - k*w - 20 = 0, -7*o - 4*w = -2*o + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1487, 3318, 5135, 6932, 8703, 10442?\n\"Answer: -d**3 - d**2 + 1841*d - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69214 is divided by 69210.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 109827 and 109908 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19907*o**4 + 18*o**2 + 19906*o**4 - 4*o - o**3 + 45*o to n + g*o + x*o**4 + y*o**2 + w*o**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.136816l?\nAnswer: 4136.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8808, 8792, 8758, 8700, 8612, 8488?\nAnswer: 8322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 686 and 19.9.\nAnswer: 705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 983036315 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452243*l**3 - 16*l + 9*l + 7*l.\nAnswer: 452243*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17202941\/6 or 2867156?\nAnswer: 17202941\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/3360 - n**5\/480 - n**3\/2 - 19*n**2. Let f(k) be the first derivative of r(k). Factor f(b).\nAnswer: b*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3384\/144)\/((-15)\/(-30)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 448144640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p - 5*y + 5, 0 = 2*p + 2*y - 10. Suppose -4*f = i - p, -2*i - 4*f + 2*f + 2 = 0. Sort -5, 3, 1, i in increasing order.\nAnswer: -5, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1095, 3, 23 in increasing order.\nAnswer: -1095, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177860 is divided by 885.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214 + 216. Solve 4*y - 7*a = -2*a + 27, -5*y + 9 = s*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**2 - 18*l - 16. Let t(s) = 10*s**2 + 18*s + 13. Calculate -6*o(d) - 7*t(d).\nAnswer: 2*d**2 - 18*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1035 and 353311947.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 18*z + 1. Let s = -6 + 10. Suppose -2*h = 3*d + s, 2*h = -2*h - 2*d + 8. Calculate the remainder when w(1) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2430.2 and -13.\nAnswer: -31592.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0184*3.\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and 0.3.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 12724 - 4242 - 4243 + 11*j**3 - 4241 + 138*j**4 to h + l*j**4 + m*j**2 + d*j**3 + r*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 88. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:20 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)\/(9\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10752, 27569, 44374, 61161, 77924?\nAnswer: 94657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -551, 0.174, 0.3?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Factor 0*v**h + 3*v**2 - v - 2*v**2.\nAnswer: v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b - 1. Let o be x(-1). Suppose 4*a - 2*a + 10 = 0, 2*j = a + o. Is (60\/3)\/(-1 + j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.3 - -15. Let g = -0.9 + v. Which is the closest to g? (a) -4 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - l - l)*((-6 - 3 + 20)*(3 - 1 + 2) - 3 + 6 - 2 + (0 - 5 + 4)*(-1 + 2 - 2) - 1 + 2 + 1 + 1 + 16 + 3) to the form t + a*l and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + 2 + 6)*(0 - 5 + 2)*(0 - g**2 + 0)*(-9 - 1 + 6).\nAnswer: 24*g**3 - 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9531973733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*n - g - 1, -n - 5*g - 46 = 0. Is -21 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -4 (c) 4 (d) 7.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:54 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 411?\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z - 3. Let f = 466 - 474. Let l(a) = 24*a + 8. Give f*o(x) - 3*l(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -54392 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19057 and 145173217.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.08, 2.661, -29?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-3)\/18*45. Suppose 0 = -18*y + 567 + l. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9697 + -9694. Which is the second smallest value? (a) 0.5 (b) 0.1 (c) h (d) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 + 3218. Let i = m + -548171\/177. Calculate the common denominator of 103\/6 and i.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 727.683 and 3.\nAnswer: 730.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:09 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284365*h + 19 + 284668*h - 19.\nAnswer: 303*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1199 - 1195. Solve 8 = t*i - 3*w + 5*w, -2 = -4*i - 5*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouujifso. What is prob of sequence os?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v - 361384 + 1756255. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 - 11 = -2*y, 0 = 5*y + 3*v - 40. Suppose 2*r - 21 = -y*b, -3 = 2*r - 3*b - 0*b. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749221.5mm in kilometers?\nAnswer: 0.7492215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (12 - (19 + -28)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 4460*x**2 - 4522*x + 133860 = 0.\nAnswer: -6, 5, 2231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-7\/2))\/(u\/u**(-23)))**(-3\/16))**(-2\/3) assuming u is positive.\nAnswer: u**(-53\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 1. Let w(a) = 41*a**6 + 6*a**3 - 125*a**2 - 3. Let c(x) = -6*i(x) + 2*w(x). Find the third derivative of c(o) wrt o.\nAnswer: 9840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 - -0.23. Let v be (-8)\/8 - (-278)\/670. Let c = v - 1\/67. What is the nearest to 0.1 in 3, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-190)\/2)\/((14 + 8)*1) and 13\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.736848 decades?\nAnswer: 1048.42176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2294*s**5 - 529*s**2.\nAnswer: -137640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -245223 and -0.06?\nAnswer: 14713.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)*(84 - (0 + 5)). Suppose -4*p = -z + q, -4*p + 24 - 499 = -5*z. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 2646.888.\nAnswer: 105.87552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 + -13*12\/(-15). List the prime factors of -1 + 294*5\/r.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z**2. Let s(t) be the first derivative of -9*t**2\/2 + 7*t + 446. Calculate o(s(c)).\nAnswer: 1782*c**2 - 2772*c + 1078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 + 12*a. Let w be k(-10). Let n be 3*(3 + (w\/(-15))\/(-4)). Is n smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1595 = -1550. Suppose q*f + 13*f = 17*f. Find g such that 3\/5*g**2 + 0*g + 3\/5*g**4 + 6\/5*g**3 + f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 116\/24 - 3\/(-18). Suppose -4 = -11*r + 13*r + 2*y, r + 3*y = -10. Solve r*o - v*a + 0*a = 0, a = 5*o - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4) + 1 + 4)*-6 + (5 + (sqrt(2) + 0 + sqrt(2) + sqrt(2) + -3 + -4)**2)*5.\nAnswer: -222*sqrt(2) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 3 - 3)\/((-1)\/(-2)). Let a(d) be the second derivative of 0 + 0*d**2 + 1\/20*d**5 + g*d - 1\/12*d**4 - 1\/3*d**3. Factor a(l).\nAnswer: l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 14*v + 3. Determine f(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b8a52 (base 13) to base 4.\nAnswer: 220323203230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -128564*(-5)\/(-7 - -17).\nAnswer: 2, 32141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40379 not equal to 40379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2 + 8*c - 18*c - 12 - 5*c + 20*c. Let w = -8 + 16. Give f(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:03 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41619681 or -41619683?\nAnswer: -41619681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 9.8.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 q when four letters picked without replacement from zqbbznzbbwbzbbwb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-104) - (-33)\/88. Let f(o) = o**3 + o**2 - o. Let s be f(0). Is z at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -42. What is the closest to 0.1 in 4, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16960*x**5 - 5*x**4 - 225*x + 5*x**4 + 17605*x**5 wrt x.\nAnswer: 12900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/402763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 + 4 = 0. Let r = 4 + -2. Suppose -r*l + 10 = -4. What is the highest common divisor of y and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -6\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3*g*g)\/g**(-2\/7))\/(g**(-2\/9)*g**(-2\/3)) assuming g is positive.\nAnswer: g**(452\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*b = 14, -78*b + 83*b = -4*p + 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16027 - 16046.098. Round x to 1 decimal place.\nAnswer: -19.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33367825 to the nearest integer?\nAnswer: 5776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4600 and 6800.\nAnswer: 156400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 148008, -58 in decreasing order.\nAnswer: 148008, 3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/105 and -61\/29707095.\nAnswer: 207949665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12 + (1 - (-20)\/(-84)) - (-98365)\/1337.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:48 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/145 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -1 + sqrt(63)\/(-1*sqrt(9)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 19 = 151. Suppose -7*b = 2*b - 162. Let k = b + v. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-six fifths of a century?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/56 + -5\/14. Let k(g) = -g**2 - 39*g - 1. Let r be k(-39). Let s = 0.2 + 0. Which is the second biggest value? (a) j (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-1)\/(-4). Let t = -196\/5 - -789\/20. What is the second biggest value in q, t, 5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = -3*f + 74, -3*u = -12. What is the highest common factor of 189 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17024 and -44150.\nAnswer: -27126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) + (-29)\/18. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2080)\/1280)\/(5\/(-40))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*d - 4 = 0, -5*q + 4*d + 3 = -16. What is the remainder when ((-1540)\/15)\/7*(-9)\/q is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*168\/140\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -313 and 25734665.\nAnswer: 25734352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/95 and 17\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21168 and 188784.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32798228 is divided by 2730.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2100 - -0.1921.\nAnswer: -2099.8079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 30171, 73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d3 + -2?\nAnswer: -3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -7*r - 61. Suppose 6*i = 2*i - r. What is the smallest value in i, 5, 4\/3, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803223587.\nAnswer: 803223587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -8 (c) 8 (d) -1\/4 (e) -27658\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100368 is divided by 14328?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-67542)\/5 - (-35)\/25. Let r = 35724 + g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(b + 3*b - 3*b) + 1 - 1 + 2*b - 2*b + 20*b + 97*b + 6 + b - 5 + 4.\nAnswer: 120*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 8, o + 0*v - 3*v = 14. Suppose n = 2*n + o. Is 1142\/6 + n\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -31*k**2 - 34*k - 1. Let r(m) = 26*m**2 + 28*m. Let z(y) = 6*r(y) + 5*u(y). Let f be (1 - -4) + 3 - 3. Give z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173399059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127, 132, 141, 154, 171, 192?\n\"Answer: 2*i**2 - i + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2 + 3*g + 1. Let z be o(3). Let a = -138 + z. Let t = 8 - a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, q: 2}. Give prob of sequence yqh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 217 = 5*q - 3, 3*j - 1 = 3*q + 46 + 88 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 - (-2)\/1. Suppose 7 = 2*n + o. Factor -1\/2*h**4 + 1\/2*h**5 + 1\/2*h**2 + 0 - 1\/2*h**n + 0*h.\nAnswer: h**2*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -4*r**5\/5 + 29*r**2\/2 + 47. Find the second derivative of a(o) wrt o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine halves of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2, 5*j - 4 = 3*w. Suppose 18 = 3*d - 4*r, j*r + 17 = 5*d - 27. Let y(v) = -v**3 + 11*v**2 - 10*v + 1. Give y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + -5 + 5 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11 + 6 + 5 + 2*i. Let l(z) = 6*z. Let j(q) = 11*q. Let m(g) = 3*j(g) - 5*l(g). Calculate n(m(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - (150\/15 + (-115 - -8)). Solve 18*i = 39*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4599351918 and 1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (237\/((-547470)\/(-560)))\/((-1)\/6*(-2)\/(-9))?\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7640 times 75\nAnswer: -573000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 9 = 5*n, -6 = n - s - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2486 divided by -145.\nAnswer: 2486\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 - (-4 - (7 - 13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 17. Let w = -10 + q. Let x = 1.6 + w. Put 4\/5, 2, x in ascending order.\nAnswer: x, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 4. Let x(y) = y**3 + y. Let w(d) = 2*d**2 - 17*d - 175. Let n be w(-6). Give n*v(p) - 2*x(p).\nAnswer: -2*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*((g\/g**(2\/13))\/g)\/g*g**(-4\/5))\/(((g*g*(g\/g**7)\/g*g)\/g)\/(g*g\/g**(-3))) assuming g is positive.\nAnswer: g**(653\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*y = -4*h, h + 5*y = 0. Which is the nearest to -1? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.2, 11704, 0.\nAnswer: -30, -0.2, 0, 11704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 8) in base 5?\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84357 is divided by 42092.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 - 49 + 17 - 2*t**4 + 2*t**4 + 0*t**4 - t**4 - t**2 + t**2 - 2*t**4 + (2*t**2 + t**2 - t**2)*(5*t**2 - t**2 - 2*t**2) + 0*t**4 + 3*t**4 - t**4.\nAnswer: 3*t**4 - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*r**3*x**3 - 8*r**2*x**3 + 618*x**3 wrt r.\nAnswer: 18*r**2*x**3 - 16*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 9. Let i be o(-3). Which is smaller: i or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55083 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.64 + -3.94. What is the biggest value in z, -17.6, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1584))**2 + 3 + (2*sqrt(11) + -3 - (sqrt(44)\/sqrt(4)*5)**2).\nAnswer: 2*sqrt(11) + 25069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8678425 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 4\/75*d**5 - 1\/5*d**6 + 0*d + 0*d**2 - 4\/45*d**3 + 14 + 3\/10*d**4. Let s(p) = 0. What is p?\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) - 6\/15. Suppose -2*q = 3*v - 5, -4*q + s*q = v - 25. Let t = q - -3. Solve x + x - t = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.06704 meters to micrometers.\nAnswer: 35067040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 394*-28\nAnswer: -11032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2654.6798 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/4*(-22)\/(-44)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*s**5 + 2*s**3 - 13603*s.\nAnswer: -4140*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -109*w + 1968. Give v(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 8. Let h be l(-8). Suppose 2*r = -2*u + 22, -u + h*u = -2*r - 8. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ttootttototttt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 18*d**2 + 6*d - 30. Is l(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -1. Let i = s + 10. What is the remainder when 9 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v**2 - 11*v - 13*v**2 - v**3 + 10*v**2. Give z(9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 3*l - 5*l. Let z(k) be the third derivative of k**4\/4 - 50*k**2. Calculate z(b(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 9792 = 83*n - 2547 for n.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*32\/(-360))\/(((-24)\/15)\/(-4))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = -4*z - 168, -4*x + 210 = -5*z. Let d = -39 - z. Which is the nearest to 1? (a) 4 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) 0.07 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2875? (a) -1\/3 (b) 2\/13 (c) 2 (d) 2\/3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.0686 times 12\nAnswer: 24.8232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 270 in descending order.\nAnswer: 270, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 25. Let r(j) = 8*j**3 - 13*j**2 - 21*j + 5. Let f(k) = 4*k**3 - 7*k**2 - 11*k + 3. Let h(b) = s*r(b) + 5*f(b). Factor h(c).\nAnswer: -4*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785360?\nAnswer: 2, 5, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10985 - 46833211?\nAnswer: -46822226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 22. Let q be (z\/(-3))\/((-25)\/15). Let r = 3\/35 + q. Is r not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 4 + -33 - (-4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 1. Let d be q(-1). Sort -2, d, 2.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-28\/3)*h\/(h**(24\/5)*h))**(3\/29) assuming h is positive.\nAnswer: h**(-212\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10696 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*v + 4, -5*h - 2*v + 6 = -10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/112575 and -62\/27.\nAnswer: 1013175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112120001122 - 101220?\nAnswer: -10112120110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3319451 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5033\/3 + -5098\/3. Which is the fourth biggest value? (a) -1 (b) -4 (c) n (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 1457, 3344, 5983, 9374, 13517, 18412?\nAnswer: 24059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26*(17 + -16) + 25 - (-257)\/255\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/15)\/(-4*42\/120))\/((-4)\/33).\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 = 4*p. Let z be -3*(0 - p\/12). Let h(g) = -4*g. Let n(s) = s. Let o(m) = z*h(m) + 16*n(m). Let l(k) = -7*k. Give l(o(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5\/3)\/(168\/756)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thwqqhq. What is prob of sequence thq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409714 at least as big as 2409710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1675 and 117\/10?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(2\/3)*l)*l)**(-2\/107)\/((l**(-1\/10)*l)\/(l\/((l\/(l\/(l\/(l*l**(-1\/7)))))\/l))))**(3\/7) assuming l is positive.\nAnswer: l**(20947\/52430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3 + 1 + 1 - i. Suppose 241 - 271 = 5*m. Is 2 a factor of g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1558512?\nAnswer: -1\/1558512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 2\/3 (c) 4\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 997 - 672. Let z = y - 325. Solve -p = -0*o + 3*o + 2, -3*p - 2*o - 13 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -11 (c) -0.193 (d) -2 (e) -1\/2 (f) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v + 4. Let q be z(-2). Suppose 5*k - q = 9. Solve -k*b + 4*b = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 - 9. Let w = -29.5 - -31.8. Let l = r + w. Which is greater: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 12*w**2 - 6*w - 12*w + 18*w.\nAnswer: -2*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306665297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 414194 (base 10) to base 13\nAnswer: 1166b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/31 - 343\/1395. Which is the third biggest value? (a) 3 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97888 = 50*o - 88*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.282626 - 0.023726. What is m rounded to 2 dps?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/123620478?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*j**3 + 20*j**2?\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -189 and -50567\/54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 3:06 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 77*g**2 + 28*g - 20. Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -964*o**2 - 2*o + 216. Let m(i) = 2*i**2 - 3. Let t(u) = 2*k(u) + 44*m(u). Find the second derivative of t(h) wrt h.\nAnswer: -3680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -66*p + 20. Let i be b(1). Let g be (-54)\/15 - (60\/3)\/(-5). What is the fourth biggest value in 1\/5, g, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7652 and 5440?\nAnswer: 10406720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1) + (-22 - -25). Solve a = 2*b + n + n - 2, 5*b - 4*n = 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - b. Let g be l(1). Is (-2)\/1*g\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1199301349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 + 6*l - 7. Let t(h) = -2*h + 1. Let x be t(-2). Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*a - 51 = -181, -3*a + 9 = 0. Suppose -2*u = -6 - o. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**3 + 3*y**5 + 2*y - 2*y + 3*y**5 + y**5 + 3*y - 3*y + 2*y**5 - 3*y + 3*y + (-2*y**3 + 2*y**3 + 2*y**3)*(-y + y + 2*y**2) + y**5 - y**5 - y**5.\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**9)**(5\/8)\/(u**0*u**(-1\/14)) assuming u is positive.\nAnswer: u**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + (-360 - -381)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2686 and 91166.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6940958002 and -269.\nAnswer: -6940958271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {c: 1, u: 1, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + 6\/4. Let r be u\/((-1)\/((-8)\/6)). Solve r*y - 7*z + 2*z = -19, 3*z = 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((24\/(-3))\/(-4)). Suppose -2*c - 2*c + 8 = k. Suppose -c*m - 2*t + 33 = t, 5*t - 5 = 0. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(13) + (4 + (sqrt(65)\/sqrt(5) - sqrt(13)))**2.\nAnswer: sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (9 + -17 + 30 + (-2 - 10)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 - 3 + f**3 + f + 4 + f**2 - 2. Let p(w) = -w**3 + 6*w**2 - 4*w + 1. Calculate the remainder when p(4) is divided by a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:15 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 4*z - 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 0.5 (b) 4\/5 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 7:40 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47416808 and 1394612?\nAnswer: 47416808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**4 - 84*y**3 - 137*y**2 - y wrt y.\nAnswer: 24*y - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 4, w: 8, o: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1351 + 2212 = 3*p, 0 = -p - 4*f + 1199. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6236183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.2. Let w be 6\/2282*112*46\/4416. What is the nearest to -2 in z, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12642542 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -512.33 and -2682516.\nAnswer: -2683028.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/323 + 53917\/2584. Let g = 21 - z. What is the third smallest value in -5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 18383*m**2 + 199*m - 727. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4)\/y**(-2\/33))\/((y**(-15\/7)*y)\/(y*(y*y**(-3))\/y)) assuming y is positive.\nAnswer: y**(971\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 162c1 (base 16) in base 12?\nAnswer: 44681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 3*d + 6*d**2 + 147 - 2*d**3 - 150 + 2*d to b*d**2 + p + i*d + m*d**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j**(-10)\/j*j\/j**(-1\/17)*j**8)**(-2\/135))**3 assuming j is positive.\nAnswer: j**(-4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -25. Let q(t) = 15*t**2 - 2*t. Is q(j) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18664558 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 5*h + 8. What is i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 3*l**4\/4 + l**3\/3 + l**2 - 11*l - 34. Let g be c(4). Let d = 301 - g. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19357*s**3 + 3 + 19334*s**3 - 3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 98671*p\/2 - 246690 = 0.\nAnswer: -5, 98676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 8 - 70*y + 77*y + 7.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Let o be i(-4). Let s be (3 + -1)\/2 - 0. Let g = -0.45 + 0.15. Which is the nearest to s? (a) o (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/298936 and -25\/4035636.\nAnswer: 8071272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*m - 6*z + 99, 0 = 5*m - 2*z - 130. What is the greatest common divisor of m and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907722295?\nAnswer: 5, 37, 132611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2171330 = -148*o + 3816602. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(99)*-2) - sqrt(88)\/(sqrt(8)*2*-1)) + 1.\nAnswer: 1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 138*d + 122*d - 17*d - 9165 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14 and -41\/30738?\nAnswer: 215166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(-16 - -17)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from lddl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, 1 f, and 1 t when four letters picked without replacement from foftomdooo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 19*n**2 + 30*n - 68. Let s be r(-17). Is s smaller than 5\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.024863 * -0.98\nAnswer: -0.02436574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 17*p**2 - 17*p + 14. Let k be g(-18). Let h be 143798\/k*(-28)\/(-168). Let n = 5983 + h. What is the common denominator of n and -133\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5207 (b) 25.6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let v = 0.2 + -0.4. Suppose 7 = -g + 4*i, 5*i = -5*g + 29 + 11. Which is the second smallest value? (a) g (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 2*n - 16, 292 - 298 = -n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-3) - -2)*12\/8. Is 1412\/s + (-1)\/14*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 16. Let w(n) = -5 - n + 2*n - 3*n**2 + 0. Let g(u) = 7*u**2 - 2*u + 11. Let d(x) = m*g(x) - 9*w(x). Determine d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -136, 8, 5, 0, -2 in descending order.\nAnswer: 8, 5, 0, -1, -2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 + -53. Calculate the remainder when i is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o + 14, 3*p + 0*p + 5*o = 16. Let q = -2 + 2. Solve -2*k - p = -3*x, 5*x - x + 5*k - 15 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w + 24. Let m be n(-11). Factor -3*g**m + 86*g - 2*g**2 + 71*g - 142*g.\nAnswer: -5*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:22 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 15 + 13. Let j = k + -8. Let n be (-56)\/52 - j - 0. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 27. Let u be s(6). Let b be (-9 + 1 + -1)*14. List the prime factors of b\/4*(-6)\/u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0137 - -4.8463. Let h = 5 - g. Let s = -0.04 + h. What is the nearest to 1 in s, -6\/7, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212\/(-10)*((-240)\/8 - -5).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8867 - 5484. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1394757, 2788903, 4183051, 5577201, 6971353, 8365507?\n\"Answer: q**2 + 1394143*q + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 23*m - 15. Let b(i) = 5*i**2 - 21*i - 16. Let d(f) = 4*b(f) - 3*z(f). Is d(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 123410?\nAnswer: 123366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*1*sqrt(225) - sqrt(225))\/(sqrt(50)\/sqrt(160)).\nAnswer: -3 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**3 + 6*n**3 - 5*n**3 + (4*n - n + 0*n)*(n**2 + 2*n - 2*n) + n**3 - 6*n**3 + 0*n**3 to the form y*n + r + u*n**3 + l*n**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/10*(-2)\/(-3). Suppose 5*w + c*t = 130, -42 = -w - t + 4*t. Solve 3*i + w = -4*a - a, i + 5*a = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 684703669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3037, 3040, 3051, 3076, 3121, 3192?\nAnswer: 3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -22110?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3038)\/1953 + 375\/(-54)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6)*(-1 - 2). Find n such that n - n**3 - 8*n**d + n**2 - 2*n**2 + 18*n**4 - 9*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z**2 + 3*z**2 - z**2)*(0*z - z + 0*z).\nAnswer: -4*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/100 and (10 + (-430)\/40)\/(42\/33).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 2842970340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 6*b + 11*b**2 - 6*b in the form n*b**2 + t*b + g and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-48)\/18*18\/(-4). Let k(x) = -x**2 - 7*x + 3. Determine k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, -4*p = -5*v - 3*p + 41. Let l be v\/(-6) - 286\/(-39). Solve -3*o + 0*o - l = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by 114?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s + 6. What is p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492522221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 3. Let k be x(5). Let c = -70 - k. Find the common denominator of 19\/4 and (c\/42)\/((-4)\/6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 8\/(-1) - (-157 + 84).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:03 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591411933?\nAnswer: 149, 10680617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 11924685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4+-44563365908\nAnswer: -44563365912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1786 + -1800. Sort 0.4, i, 5, 11.\nAnswer: i, 0.4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + sqrt(48))**2 - (sqrt(9)\/sqrt(3) + sqrt(3) + -2)**2).\nAnswer: 40 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296933 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x - 549 = 342 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = 5, 57 = 4*d - f. What is t in -4 - 22*t - d*t**2 - 7*t**2 - 7*t**2 + 32*t**4 + 14*t**5 + 8*t**3 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25919.73 nanometers in kilometers?\nAnswer: 0.00000002591973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4\/2175 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + -2*sqrt(112) + sqrt(112))**2 - ((-6*sqrt(672) - sqrt(42)) + sqrt(42))\/(-1*sqrt(6)*-5).\nAnswer: 104*sqrt(7)\/5 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 122141 (base 5) to base 3\nAnswer: 20102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(16\/7))**(-40)*(s*s**(6\/11)\/s*s*s)**(-4\/13) assuming s is positive.\nAnswer: s**(-132344\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4557 and 393197.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -5, 2.57?\nAnswer: 2.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 6. What is the second derivative of -6*t**4 + 6*t**4 + d*t**4 + t wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -28*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31846*s**6 + 41636*s**2 wrt s.\nAnswer: 3821520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*k + 2*i**2*k**2 - 245*i*k**2 - 99*k**2 + k - 1 wrt i.\nAnswer: 3*i**2*k + 4*i*k**2 - 245*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 99. Let m be (r\/(-24))\/(2\/(-12)). Suppose -9*p + m*p = 0. Put -3, p, 4, -4 in increasing order.\nAnswer: -4, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22011 + -22011. Which is the nearest to 0? (a) p (b) -5.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 31*j - 1686. Determine l(53).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*3 - (189\/(-135) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -18, -2\/9, 3\/2, 1\/28, -3?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*q - 780, -115 - 273 = -r + q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24338644 by -4.\nAnswer: 6084661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnf. What is prob of picking 1 f and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6260*g - 43868. Calculate i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3779)\/(-4))\/((-8)\/(-50)). Let p = i + -5900. Find the common denominator of -127\/12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*w - 166108 + 673633. What are the prime factors of w?\nAnswer: 3, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {x: 7, z: 5, m: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 21 = -3*b, 5*k + b = -b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 4*h - 5. Let z(t) = -t**2 - 3*t - 5. Let w(s) = 2*i(s) - 3*z(s). Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/30 - 17*z**5\/15 - 44*z**4\/3 - 96*z**3 - 18*z**2 + z. Factor l(t).\nAnswer: -4*(t + 4)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/4 - 7347*z**2\/2 + 8779101*z\/4 - 4382203\/2 = 0. Calculate z.\nAnswer: -15269, 1, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffrrffifirmiiq. Give prob of picking 1 i, 1 m, and 2 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:45 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -4*p, l - 17 = -3*l - 3*p. Let d(b) be the third derivative of 1\/6*b**4 + 0 + 0*b**3 + 0*b - 9*b**l. Let s(a) = -3*a**2. What is d(s(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 5. Let s = p - 6.33. Round s to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54110477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 772438657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from vmmmswmmmevw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -21*m**2 - 3. Suppose 86*b - 1 = w + 88*b, 2*b = -5*w + 11. Let p(j) = 1. Determine w*p(r) + z(r).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 31 = -2*p + 1, 0 = 3*p - 2*n + 7. Let h = 10.2 - 0.2. Put -3\/5, p, h in descending order.\nAnswer: h, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 3}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49068150 - 49068150.87999963. Let x = -0.7 - -1.58. Let s = x + o. What is s rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -4, -1\/18, 2\/51, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23668 and 148604.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-93 - -65) - 14\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 2:39 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*g**3 + 18*g**4 + 4*g**4 - 192*g**3 - 17*g**4.\nAnswer: 5*g**3*(g - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4056 divided by -312.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2968*l + 4*u - 32 = 2972*l, 4*u = 3*l + 33 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2097 + -289. What is the smallest common multiple of x and 678?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 - 3*o - 27. Calculate the remainder when 4179 is divided by v(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 + m. Let h(s) = 7*s**3 + 6*s**2 + 5*s + 6. Let a(f) = h(f) - 6*j(f). What is the remainder when a(0) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -7. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204121?\nAnswer: 43, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.9 + 15. What is the nearest to 1 in -11\/3, f, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5 and 42\/215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -51*k**2 - 3*k - 10. Let m(v) = 52*v**2 + 3*v + 12. Give 4*m(l) + 5*y(l).\nAnswer: -47*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340 and 119720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/114, -1361, 0.4, -19 in decreasing order.\nAnswer: 0.4, 1\/114, -19, -1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -131, -130, -129, -128?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17)**(6\/5)\/(((t\/(t*t*t*t**36*t))\/t)\/t**(-3\/26)))**33 assuming t is positive.\nAnswer: t**(258621\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 88*y + 563. Give n(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:19 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360225 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((((-480)\/8)\/5)\/(2\/(-1))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1837\/58 + 208\/29. Which is the third biggest value? (a) 0 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**6\/180 + k**3\/3 - k. Let m(p) be the second derivative of l(p). Let x(a) = -15*a + 13*a + 3*a. Give m(x(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 367 + 991. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 16*u**2 - 11*u - 11. Let y be o(-14). Suppose -87 = -2*q - y. Is 7 a factor of (-4)\/6 - q\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-5)*(-8)\/5. Does 31 divide (16\/w)\/(1*(-2)\/426)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23769421 is divided by 2543.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*s - 2*i, -3*i = -2*s - 0*s + 17. Put s, -3, 4 in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-5 + (-940)\/(-80) + 28\/16 + -9)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -130886, -130885, -130884, -130883, -130882, -130881?\n\"Answer: o - 130887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from kueffckkdfkkc.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 14.7353913105?\nAnswer: -14.7953913105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.9 + 75. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) - (-200)\/(-48). Is w\/(-4)*2 + 12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.13, 2, 4, -2\/9?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(1\/4)\/j)\/(j\/(j*j\/(j*(j*j**0)\/j))))**20)**(4\/9) assuming j is positive.\nAnswer: j**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8*i - 232. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(7\/(-70))\/(14\/42). Which is the third smallest value? (a) -118 (b) -0.2 (c) 0 (d) i (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 26. Suppose -j = -9*r + 5. Solve 0 = -2*v - 1 - r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-72)\/15)\/4*5. Let v be (-4)\/z + (-4)\/(-3). Suppose -36 = -v*j + 190. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let s(g) be the first derivative of 2*g**2 + 5. Determine k(s(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7324491 - 10742.5?\nAnswer: -7335233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.668019141 minus 6119?\nAnswer: -6114.331980859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3402 + 3402 + 3*s. What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + i**3)*(-2*i + 3*i - 3*i) + 12*i**4 + 55*i**4 - 31*i**4.\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0404 - 0.2084. What is q rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355400 and 88850.\nAnswer: 355400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from oooooooooiooooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -330222*t**2*u**3 - 2*t**2*u + 43*t - 42*u wrt u?\nAnswer: -1981332*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -40.1. Let c = -31 + 31.02. What is the nearest to k in c, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1332 = -17*c. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 493323420*x - 12168399836024820.\nAnswer: -5*(x - 49332342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425332 + 63476 = -32*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 61423396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 + 5*q - 1\/15*q**4 - 4\/15*q**3 - 1\/150*q**5 - 11\/2*q**2. Let j(n) be the first derivative of x(n). Factor j(t).\nAnswer: -2*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18750135 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -518\/3?\nAnswer: -518\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134096505*n**3 + n**2 - 945891944*n wrt n.\nAnswer: -804579030*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148098770327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0397751130083 from -0.4.\nAnswer: -0.4397751130083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 78*p - 15. Let w(x) = -249*x + 48. Let q(b) = -16*i(b) - 5*w(b). Let a(r) = 27*r**2 + 5*r**2 - 6*r**2. Determine a(q(u)).\nAnswer: 234*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 305*p + 611. Calculate x(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:21 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -2, 20, 2, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 32 + -22 + -30 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-1 + 0 + 3)*(-184*l + 184*l - 283*l**3).\nAnswer: -566*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 18. Suppose x + 4*k = 2, 4*x + 66 = 7*x - 3*k. What is the highest common divisor of x and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 divided by 59?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184021337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c - 6. Suppose 16*k - 5*k = -110. Calculate x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -24544264?\nAnswer: 24544301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 7 - 28)*(-412*m - 382*m - 277*m + 87*m).\nAnswer: 5904*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3677 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2695, 2689, 2675, 2647, 2599, 2525, 2419, 2275?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21803 is divided by 10420.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/45 and 31\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 407*o + 496*o - 2110*o as k*o + b and give k.\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - (-3 - -2). Solve -2*l - n = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - a)*(-5*a - 5 + 5) + 4 - 4 - 3*a**2 to c*a**2 + o + j*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17468963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {l: 1, s: 2, z: 4, m: 12}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 + 4*l - 9. Let s be i(-7). Let d(f) = -14*f - 108. Let p be d(-9). Calculate the greatest common factor of s and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974756 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 173 = 4*c - 151, 4*c - n + 18 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -104\/7467?\nAnswer: -104\/7467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17202179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-20) + (-28)\/140. Let g(r) be the first derivative of 2*r**3 + 5*r + 3*r**2 + l*r**4 - 3. What is g(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + 2500204?\nAnswer: 2500022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3282086 to 3 decimal places.\nAnswer: 3.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s + 0)*(-4*s - 4 + 4 + (-s + s + 3*s)*(-5 + 5 - 1) + 130 + 3*s + 0*s + 0*s)*(-4 + 3 - 1).\nAnswer: -8*s**2 + 260*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3 (c) -2646 (d) 0.9 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 4*m**2 + 3*m + 1. Let r be u(-2). Suppose -14*l + 15*l = -a + 10, -3*a + 4*l + 2 = 0. What is the highest common divisor of a and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -114*k + 1613. Calculate a(20).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 - 3*w**3 - 14*w**3 + (w**3 - 4*w**3 + 5*w**3)*(5 - 4 - 2) + (-1 - 7 + 3)*(-w**3 + w**3 + 2*w**3).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 11065313?\nAnswer: -11065312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and 1233.392.\nAnswer: 1234.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657.38943 rounded to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715437153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - a + 20 = -19*n, -2*n + a + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*x**2 + 17 + (-2*x - 3 + 3)*(-5 + 5 + 3*x) + x**2 - 2*x + 2*x to the form t*x + r + p*x**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40276.42mg to grams.\nAnswer: 40.27642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41420174 smaller than 41420175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*79*(-18)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 200\/45*3\/(-4) - -3. What is the second smallest value in c, 3, -0.4, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l**5\/5 + 450*l**4 - 17876*l**3\/5 + 16584*l**2\/5 + 22256*l - 4800 = 0. What is l?\nAnswer: -2, 4\/19, 5, 6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3885138.\nAnswer: 2, 3, 71947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = -47*x - 518 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 163 - 13 = 4*b, -5*b - 79 = 4*v. Let w = v - -36. Let x = w + -6. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/2548*(-130)\/1035\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 40*w + 243. Let y be b(6). Which is smaller: y or 1872\/47?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 - 63*k**2 + 6*k + 4. Let b be n(-16). What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 147826995?\nAnswer: -147826994.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3141 + 683. Suppose -3278 = 5*w - z, -4*z = -4*w - 3461 + 845. Let i = w + a. Round i to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 + 13*j - 27. Is 16 a factor of m(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than -13.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m**3 + 6*m**3 - 3 + 3*m**2 + m + 3*m**3. Let s be w(3). Suppose -4*j = -s*j - 32. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17044571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p + 3, 3*n - 21 = -4*p + 2*n. Let q(g) = -g**3 + 2*g**2 - g. Let k be q(1). Find the second derivative of k*u - p*u - 3*u**3 + 5*u - 3*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 d, and 1 e when four letters picked without replacement from {d: 1, g: 3, e: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1570, 0.5, -0.5, 5 in increasing order.\nAnswer: -0.5, 0.5, 5, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 - 0*(-8)\/(-80). Let g be ((-4)\/(-10))\/((-5)\/25). Sort -2\/9, g, y in descending order.\nAnswer: y, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than -58909\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 2*s - 20. Let k(z) = z - 2. Calculate 3*k(y) - w(y).\nAnswer: -3*y**2 + y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 213 - 104 - 90 + z.\nAnswer: z - 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 660080 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/14)\/(54\/42). Let n = -3 - 0. Let k be (-2 - n) + 12\/(-14). Which is the third smallest value? (a) r (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2354535322 + 2?\nAnswer: -2354535320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 8:41 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 22. Let q(j) = p*j - 5*j + j - 4*j. Let v(s) = -2*s. Determine v(q(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 242369 and -0.1.\nAnswer: 242368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from llyvyvylyyylyy.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0103 and 2.3?\nAnswer: -0.02369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + h = -4, 2*n + 95*h - 92*h = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 41*v**2 + 38*v + 77. Give o(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501159 is divided by 150.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(448))**2*-6.\nAnswer: -10902 + 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60783751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9*d + 13422 = -7*d, -20168 = 3*w + 4*d. Let m = 12075 + w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 2*q + 10336 + 10330 - 4*q**2 - 20662 + q**4 in the form g*q**3 + u*q + a + w*q**2 + d*q**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 531\/171 - 4\/38) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*f - 4, 5*x - 1 = 3*f - 10. Let h be (0\/f)\/(3\/1). Solve 0*a - a - 4 = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5820 + -5815. Put t, 1, -4, 0, 215 in ascending order.\nAnswer: -4, 0, 1, t, 215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.188, 25, -12\/31, 3\/5, -9, -3\/4, -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(2299) + sqrt(2299) + 3 + sqrt(2299) + sqrt(2299) - (2 + 1 + sqrt(2299))) + -4*(sqrt(2299) + 0 + 5) + -3)**2.\nAnswer: -616*sqrt(19) + 3083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11252 and 427344.\nAnswer: 41452368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3548, 7091, 10632, 14171, 17708?\nAnswer: 21243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010100100110000000 (base 2) in base 8?\nAnswer: -10244600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13058*j**2. Let r(a) = 331*a. Give r(t(y)).\nAnswer: 4322198*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 43011\/3402*2\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -23.2. Let o = m + -23.9. Let t = 0.8 + o. Which is the second biggest value? (a) 0 (b) -7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2, -5*v + 33 = q - 0*v. Suppose -38*c = -q*c + 275. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 7)*(-476 - 147 - 38 - a) + a - 2*a + 4*a to k + r*a and give k.\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4572*x**2 + 483 + 6 + 248*x**3 - 4572*x**2 - 1737*x**3 wrt x.\nAnswer: -4467*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -7*h**2 + 2. Let j(o) = -o**2 + 10*o - 6. Calculate the remainder when a(-2) is divided by j(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310.2 - 314.2. What is the closest to -0.1 in -6\/17, t, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a54898 - -5?\nAnswer: 6a548a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 54*y**2 + 0*y - 29\/24*y**4 - 1\/3*y**3 + 3\/20*y**5. Find the second derivative of m(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/(30\/25).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -50?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -2069, -3104, -4099, -5042?\nAnswer: -5921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16 - 1 + 0 - 3*x + 27. Let n be h(14). Suppose 5*t + 9 = -2*u + 168, n = -3*u + 6. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 883 + 62. Suppose 4*t - 448 = 3*h + h, 2*t - m = -5*h. Suppose -3*k - t + 314 = 0. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -n - 2*n - 319, -1063*n + 2 = -1065*n for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6669 and 10179?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c - 63. Let v be n(-23). Suppose -3*b = b - v. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)*n*(((n\/n**(-1))\/n)\/n)\/n)\/(n**10\/n*n*n**(2\/7)) assuming n is positive.\nAnswer: n**(-922\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5 + 0 - 2*h - 8*h**2 - 2*h**3 + h**3. Let b be l(-8). Suppose 0 = 2*f - 37 - b. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.3 (c) -1\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + (-159)\/(-9). Solve -4*u = p + 11, -5*p + m = -2*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94226, 94177, 94110, 94019, 93898?\nAnswer: 93741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 1. Let x(y) = -273*y - 6. Let s be x(-1). Let p = s - 265. Determine t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -425, 0, -5, 5 in descending order.\nAnswer: 5, 2, 0, -1, -5, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319736 + 8155*t + 319736.\nAnswer: 8155*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 3*i, -7 = -8*i + 13*i - 3*n. Let f(b) be the first derivative of 2\/21*b**3 - 1\/7*b**2 - i + 0*b. Factor f(j).\nAnswer: 2*j*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x**2 - 10*x**2 - 66*x**2 - 34*x**3 - 3*x**2 - 8*x**2.\nAnswer: -34*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7041 - -7060. Solve -76*h + 80*h - 18 = -2*t, -3*t = 4*h - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 34. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 2, y: 2}. Give prob of sequence xoy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1289 * 0.2.\nAnswer: -257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3358902*i**2*r + 192*i*r + 3*i + 8*r - 131 wrt i?\nAnswer: 6717804*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -20. Let h(i) = i**2 + i. Let p(j) = 8*j**3 + 6*j**2 + 6*j - 13. Let b(u) = g*h(u) - p(u). Find the first derivative of b(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 121*w - 47149. What is c(392)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 563.7?\nAnswer: -564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000353248806 rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1265 = 20*q. Let u be ((-10)\/q + (-7413)\/66)*-4. Round u to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 5*o - 764 = -612, j + 3*o - 83 = 6*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5120 (base 15) in base 3?\nAnswer: -212111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 0*n**5 + 0*n**2 + 0*n**4 + 2\/15*n**6 - 2\/3*n**3 + 5*n. Find the second derivative of m(o) wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -24. Which is smaller: o or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 22*w + 152. Let b be f(0). Solve 114 = -38*o - b for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3362 - 5823 + 3050 - 6247 - 10398)*(-4 + 4 - 2*j)*(4*j + 0*j - j) to the form q*j**2 + g*j + o and give q.\nAnswer: 96336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190013 divided by 3.\nAnswer: 190013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 9. Solve -i = -5*q - 11, w*q + 2*i + 10 = 4*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(99) + -2)**2*-3.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) -2 (c) 1\/8 (d) 0.2 (e) 0.002458\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - n + 8 = 0, 4*h - 47 = -0*n + n. Solve 4*g - w - 4*w + h = 0, -2*w + 9 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*l - 34, -3*z - 16 = -4*l - 57. Factor -b**2 + z*b - 4 - 7*b - 4*b.\nAnswer: -(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 96*w - 43*w - 40*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 divided by 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -6\/13 (c) 4 (d) -2\/41 (e) 0.2 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -62, -106, -158, -218?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11 (b) 12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 0.237.\nAnswer: 0.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3192, -3196, -3202, -3210, -3220?\nAnswer: -3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 6.7, -3, 4, 2735, -3\/7 in descending order.\nAnswer: 2735, 6.7, 4, 3, 1\/3, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Suppose m = -3*g + 56, -3*m + 2 = -u. Calculate the remainder when 89 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -315*w**2. Let j(x) = -47*x**2 - 7. Give j(i(r)).\nAnswer: -4663575*r**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 7*u - 6. Let t be c(3). Let o = -64 - t. Let s be 1\/o*(-15 - -10). Sort 4, -3, s.\nAnswer: -3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 22*x = -3. Suppose 5*r = 4*r + x. Solve 0 = -2*f - 2*d + 3 + 1, r*d - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 287489224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 403717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -1.796406?\nAnswer: -1.203594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3101 + -37147\/12. What is the common denominator of g and (-16 + 1581\/68)*20\/(-150)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -1313, -2924, -5181, -8090, -11657, -15888, -20789?\nAnswer: -26366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -24\/5*j + 24\/5 - 18\/5*j**2 + 24\/5*j**3 - 6\/5*j**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36899 and 519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2))**(-30\/11))**(2\/43) assuming v is positive.\nAnswer: v**(60\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 416.6.\nAnswer: 1249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/(-4*(-16)\/(-28))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764075526 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814 = 95*g + 5*g - 26*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 30*g**2 + 215*g + 35. Let d be y(-7). Solve -11*c - 17*c - 112 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98942.05 nanometers in meters?\nAnswer: 0.00009894205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 times 296?\nAnswer: 90576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.55 + 1.55. Sort 0.1, -0.13, 0.3, a.\nAnswer: a, -0.13, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 10*i**2 + 4*i + 38. Let r be f(-10). What is the smallest common multiple of 8 and (-24)\/(-16) - 75\/r?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 56, 613842 in ascending order.\nAnswer: 4, 56, 613842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -11309285.\nAnswer: 2\/11309285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(1300)*-1 - (sqrt(1300) - (sqrt(1300) - 2*(sqrt(1300)*1 - sqrt(1300)))))**2 - ((3*(sqrt(1300) + -1*sqrt(1300)))**2*-1 + 0).\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 7470292?\nAnswer: 7470291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*h + 0*h + h)*(3 - 1 - 4) - 3*h + 4*h - 3*h)*(2*h**2 + h**2 + 2*h**2).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 + 1)*36\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 215*k - 36 = -218*k, 6*k = -39*h + 72 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + r**2 - 3*r**2)*(9 + 19*r - 13*r - 7*r) to g + s*r + q*r**2 + v*r**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l - 7. Calculate the remainder when 43 is divided by n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * -20.8.\nAnswer: -5.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 6, e: 2, x: 6, b: 4}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -4 (c) -4\/9 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 5. Let i(l) = -l + 2. Let f(p) = -7*i(p) - 3*u(p). Let g(x) = -6*x + 3. Suppose -q = -0*q - 4. Give q*g(y) - 11*f(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -0.8.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -594969.2 to the nearest one thousand.\nAnswer: -595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 3)\/3)\/(-1). Let r(l) = j*l - l - l. Let p(v) = 14*v. Calculate p(r(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 59. Let o = 119 + p. Let c = -46 + o. Solve 5*k = 3*x - c - 8, -4*x + 19 = -3*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pqpyhpyhyp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)\/1*(39 + 7 - 31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 17 + 63. Let p = 17 + g. Let x be (10\/p)\/(7\/(-22260)). What is x rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/31, -3, -22, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 3 - 1 - 1 + 0*q. Let d be a(-1). Suppose 4*v - n = 49, 15 = -4*v + d*n + 66. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -15. Suppose 5*n + 5*b - 226 - 119 = 0, -3*n + 231 = -x*b. Let f(h) = 72 - h - n. Let m(u) = -5*u**2. Determine m(f(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 54, 2\/9, 4, 2.\nAnswer: -11, 2\/9, 2, 3, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 109\/5)*-15. Suppose -4*c + 5633 - 2146 = 5*a, -4*c + 3*a = -3463. Let n = c - k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 + 76464*i**3 - 16*i**2.\nAnswer: 76464*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2041*l + 1401*l + 306*l + l + 2. Let y be x(2). Round y to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + p**3 - 4*p**4 + (-18791*p**2 + 18791*p**2 + 282*p**3)*(-6*p + 0*p + 4*p).\nAnswer: -568*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*j**2)*(-3 + 3 - 2 + (1 + 0 + 0)*(2 - 3 + 2) + 2 + 5 - 3).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**5 + 1245*k**4 + 16008*k**3 + 57252*k**2 + 41712*k - 37248 = 0. Calculate k.\nAnswer: -194, -8, -4, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/(4\/6). Suppose -3*o + 1 = 7, -m*k + 4*o = -22. What is the least common multiple of k and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-99450)\/(-357))\/25)\/(1*(-15)\/(-70))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 = -7*r. Let d(a) = -719*a + 352*a + 361*a - 2 - a**r. Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2432143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1842*c - 6848 = 783*c - 653*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1373629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83015\/2 or -41507?\nAnswer: -83015\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.6 + 29. Let f = u + -4.8. Which is the nearest to -1? (a) 0 (b) f (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = 53*m - 294. What is the highest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 at least as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a**4 - 5*a**4 - 3*a**4)*(-6*a + 5*a + 2*a).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from {l: 2, j: 1, c: 2, m: 1, z: 1, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20133498 by -14.\nAnswer: 1438107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 25. What is the remainder when 139 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = -8. Let k(l) = 2*l - 9 - n + 4 + 0. Let u(z) = z - 5. Determine 6*k(f) - 7*u(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, 6, 10\/3391?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from zszsszzzszszz?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 4*j + 5*j - 4*j**2. Let b(v) = -188*v + 91*v + 7*v**2 + 92*v. Calculate -6*b(c) - 11*l(c).\nAnswer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:38 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 - 402300596*p\/17 + 20230721192744402\/17.\nAnswer: 2*(p - 100575149)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let d(c) be the first derivative of -7 + 1\/3*c**3 + 0*c**2 + 0*c. Determine d(f(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15858519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368\/17 less than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**31\/(f**0\/(f*f**(-5)\/f)))\/(f**6\/f**(-2)*(f*((f*(f*f**(-2\/7)*f*f)\/f)\/f)\/f)**(-12\/13)) assuming f is positive.\nAnswer: f**(4603\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -31*v**2 - 36*v**2 - 33*v**2 + 101*v**2 - 14 - 12*v - 3*v. Give o(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*w + 40, -2*w - o = w - 4. Suppose b - w = c - 0, 3*b = -2*c + 9. Suppose 0 = x - 4*x - 2*n + 186, 3*x + b*n - 186 = 0. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -80, 0.1, 4, -1\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-4))\/(-1) + -22. Let c = -10 - p. What is the greatest common divisor of 80 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 - 4*w - 1. Let z(f) = -3*f**2 + f - 1. Give k(c) + 4*z(c).\nAnswer: -2*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/783)\/((4816\/(-96))\/(-43)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -285716 and 4.\nAnswer: -1142864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3 + 8*i + 6*i - 16*i - i**2 in the form m*i + k*i**2 + b and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85964920 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*g + 2 + 287*g - 2.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.012*-2.3.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 307 = 5*a, 4*l - 2*l = 2*a - 124. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 486*a + 58329. Determine h(269).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*d**3 - d**2 - 25*d**3 - 32*d**3 + 2 in the form y*d**2 + k + t*d**3 + i*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1*r\/(r*r**(5\/3)*r)*r**(-2)*(r**(-3)\/r)\/r*r assuming r is positive.\nAnswer: r**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36*34\/6120)\/(-34*2\/(-30)*-3).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.077 - 0.377. Which is the closest to -1? (a) -5\/6 (b) 45 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 31*s**2 + 34*s - 54. Suppose 4*t + 5*i = 153, 3*t + 2*i - 81 = 25. Let p be o(t). Solve p*f = f - 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6\/(-5) - 8190\/450) + -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285443, -570884, -856325, -1141766, -1427207, -1712648?\nAnswer: -1998089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgrbbbbbbbrvvbqgri. What is prob of picking 1 i, 1 g, and 1 r?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 477973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680367658 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 18*n + 9. Let y be p(17). Let j = y - 13. What is the remainder when 21 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -3*n + 4*n - 4 = q. What is the third derivative of 6*v**n - v**4 - 3*v**4 - v**2 + 0*v**2 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7529853 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 89980 = 5*j, 12*j = 7*j - 4*c - 90020. Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32129 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 8, i: 3, r: 3}. Give prob of sequence iiyy.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -467330 + -17?\nAnswer: -467347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 725 = -f, l + 2*f - 1212 = -4*l. Let w be l\/5 + (-6)\/(-10). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 s when three letters picked without replacement from pss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 40*v + 7*v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 36*o + 6. Let w be d(5). Suppose -236*m + 744 = -232*m. Is w >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 6*d)*(5*d + 2*d - 5*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 60 = 2*y. Let l(h) = 13*h**2 - 29*h + 52. Calculate the smallest common multiple of y and l(4).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 bigger than 17355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 33 - 123 = 0. Calculate the remainder when d is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - -5) + 3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246488, 493018, 739546, 986072, 1232596?\nAnswer: 1479118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 556546*a**2 - 4987372*a - 1.\nAnswer: 1113092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15694607.\nAnswer: 15694607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -563, -825, -1075, -1313, -1539?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31428144 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80733304 to the power of 1\/2, to the nearest integer?\nAnswer: 8985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10878587663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85.675 + -0.935. Round b to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21874 + 21879. Solve 2*j + q*u = 30, j + 4 + 7 = 4*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 7*h**2 - 6*h + 1. Let n be s(6). Let d be (n + -5 + -1)\/(-1). Suppose -6*f = -d*f - 4. What is the highest common factor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 17407154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d + 4. Let r be (-6)\/3*1 + 1 + 3. Is z(r) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 - 115*k - 2505. Give n(18).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - p + 2. Suppose 0*h + 2*h - 3 = -3*j, 4*h - 4*j - 16 = 0. Calculate the remainder when g(2) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 701\/8, 1\/7, -25, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2. Let g be r(-2). Solve 5*d - g*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19382 is divided by 1608.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -7*g. Let a = g + -9. Let k(c) = 3*c**2 + c - 1. Is k(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*n = -60, 0 = -4*l + 4*n - n + 48. Let u be 8\/3 - 4\/6. Solve 6 + 12*o + 1 + 0 + 18*o**u - 4 + l*o**3 + 3*o**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = 0, 371 = 5*h + 2*g - 3678. Suppose 5*w - 4*p = 799, 5*w - h = -0*w + p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1011550 + 13?\nAnswer: 1011563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2019543407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l. Suppose q - 424 = 2*u + 328, l = -5*q - u + 3760. Let c = -48 - q. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) - (-13 - -10). Suppose 0 = -2*b - 2*o + 712, -o = r*b - 1517 + 99. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 15*w + 5. Let x be b(8). Let n be (66\/4)\/(1\/(-2)). Let s = x - n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 718061, 2872240, 6462535, 11488946, 17951473, 25850116?\n\"Answer: 718058*j**2 + 5*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -3, -0.029 in increasing order.\nAnswer: -3, -0.029, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/9)\/((-4)\/6). Let l(c) = -c**2 - 20*c + 71. Let b be l(-23). Suppose -2*i + b*k + 12 = 0, -8 = k + 3*k. Sort y, i, -1, 1 in descending order.\nAnswer: y, i, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 - 2. Give q(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5899264 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492*f + 39960 = -418*f. Calculate the remainder when 1622 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1363 - 1342. What is the greatest common factor of v and 1596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7184135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 75, 56, 37?\n\"Answer: -19*y + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8 + (-9)\/(-2). Suppose -g + o = -5*g. Are g and -3\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 74327.\nAnswer: -2973.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184827 is divided by 543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*c, -29*w - 5*c = -27*w - 13 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 greater than -4869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9807*p - 9807*p + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -1 - (-21 - -10)) + (0 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 118, 0.3, -3, -1, -5, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 2*y = -2*m + 12, m - 4*y = 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = -3. Let f be 0 - (i + 0 - 5) - -1. Suppose 0 - f = n. Sort n, -1, -2 in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 537357*n - 262758.\nAnswer: 537357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 31*h**2 - 21*h - 115. Give c(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 4. Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 3\/2, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8645, -17016, -25393, -33776?\n\"Answer: -3*a**2 - 8362*a - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v - 30. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 959063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6887594 and 1694?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 162433107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 40*g**2. Let z(x) = 2469*x**2. Determine z(n(l)).\nAnswer: 3950400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 2*s**2 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 41*q**2 - 3*q - 5*q + 22 - 7*q - 55*q**2. Let d be m(15). Which is greater: 23 or d?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.810711 to two decimal places.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176305 + -115888. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 368360*j + 6784454480.\nAnswer: 5*(j + 36836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 143452804*3\nAnswer: 430358412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25991.5 times -0.2\nAnswer: 5198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1178 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4246 and 550?\nAnswer: 106150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 8*m - 4.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1320)\/(-198))\/((-98)\/(-21)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 1988388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 53146432.\nAnswer: 584610752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446837300 to the nearest integer?\nAnswer: 21139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75166 by 413.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7553.45 weeks?\nAnswer: 76138776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(0 + 2*j + 0).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 7*q + 6. Let w be a(8). Calculate the common denominator of ((-28)\/72)\/(w\/(-51)) and ((-135)\/6 + 1)\/((-48)\/(-6)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*d**2 + 174*d**2 + 3*d**3 + 150*d**2 - 481*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4707*y - 14377*y + 4654*y + 4564*y.\nAnswer: -452*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.20551ns in microseconds?\nAnswer: 0.08120551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + x**2 + 2042826649*x - 2042826649*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4\/12 + 52\/48. Is v >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.042575037 and -2.\nAnswer: -0.085150074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42e + 72f3?\nAnswer: 6ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**5\/5 - k**4\/4 - 2*k**3\/3 + 213*k**2\/2 + 260. What is the third derivative of i(d) wrt d?\nAnswer: -24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**5*w*w)\/w)\/((w\/(w\/(w*w**0)))\/w))\/(w**(-1\/4))**23)**(-5\/3))**(-3\/5) assuming w is positive.\nAnswer: w**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5)*(-35)\/7. Let q(m) be the third derivative of 1\/525*m**7 - 1\/50*m**5 + 1\/300*m**6 + 0*m + 2\/15*m**3 - 2*m**p - 1\/60*m**4 + 0. Factor q(j).\nAnswer: 2*(j - 1)**2*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - -19 - (-6 + 7) - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 422397870 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-6))\/((-2)\/(-6)). Suppose 6 = q*g + 31. Let b(w) = -w**2 + 8*w - 7. Let c be b(6). Sort 2, c, g in descending order.\nAnswer: c, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043545 is divided by 213?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - 2*v + (0 - v + 0)*(-1 + 15 - 1) + 7*v + 20 - 20 + (-v - 4*v + 4*v)*(-1 + 0 + 0).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02288345 + 1.52.\nAnswer: 1.49711655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(175) + -2 + sqrt(175) + -1).\nAnswer: -9 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3813*l**2 + 3555 with respect to l.\nAnswer: 7626*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5392290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q. Let g = q + 2. Suppose 2 + g = -4*b. Which is greater: b or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -3\/5, 3321, -3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14738 and -65\/222.\nAnswer: 1635918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6880.5567 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**3*t**2 + 215*h**3 - 3*h**2 - 1074*t**2 - 1 wrt h?\nAnswer: 6*h**2*t**2 + 645*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 3 - (-1 + 1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3150c (base 13) to base 10.\nAnswer: -88737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187358*p + 129494?\nAnswer: 187358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 8*p - 17. Let m be u(-2). Let q(d) = -13*d + 7. Let a(k) = -6*k + 3. What is m*a(n) + 2*q(n)?\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29705 or 29704?\nAnswer: 29704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 766*((-105)\/(-14) - 5) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2052)\/3040*(-2480)\/(-1395).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8*63\/378)\/(((-2)\/4)\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 171*l**2 - 40*l - 7124. Give b(-171).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(300) - -1*sqrt(300)) + sqrt(300))*-6)\/(-1*sqrt(1000) - sqrt(1000)))\/((sqrt(864) - (sqrt(864) - (sqrt(864) + sqrt(864)*-2)))*-5*1).\nAnswer: 3*sqrt(5)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l**2 - 6*l - 18. Calculate h(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3195 divided by 49.\nAnswer: 3195\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l - 21. Calculate r(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 53 + 53.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u + 2. Let j be h(9). Suppose 0 = 5*m - 0*m - j. What is the smallest common multiple of m and (1 - 0)\/(2\/16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*sqrt(65)*-1)\/sqrt(5))**2.\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-105)\/(-546)*13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 2. Let d(b) = -5*b - 15. Let v be d(-4). Suppose 4*y + q - 141 = 0, v*y + 3*q - 267 = -82. Calculate the remainder when y is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 3. Let c be x(2). Suppose 2*r - 86 = -4*s, 26 = 3*s - 4*r - 11. Is (-2 - -2 - s)*c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 8. Suppose -7 = -3*p + 2*p. Let j be w(p). What is the units digit of -3 - (2 - 6)*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 872.56 - 855. Let l = 17 - -1. Let u = x - l. What is u rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135481 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 42 = 6. Suppose 4*n + 0*n = v. Solve c + 0 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 3*w + 5. Let o be n(3). Which is the nearest to -2\/9? (a) o (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22302 divided by -42?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 1780*m**4 - 26690*m**3 - 173040*m**2 - 123345*m + 321300 = 0.\nAnswer: -3, 1, 21, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = -12*y + 4*y - 4*b, 4*y = -5*b - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 30. Let p = q - -13. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o + 1770 = -13*o - 11622. What is the highest common factor of o and 2046?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 120, 370, 746, 1248, 1876?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s + 2. Let l be a(-3). Suppose -1 = 4*r + 5*h, -l*r = -r + 3*h - 1. Solve k + r = 5*x - 28, -5*k + 5 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r + 16231 - 1411 = -1777*r - 5616 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 11) to base 6\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - 6*t + 237. Let a(h) = 8*h**2 + 7*h - 238. Let c(x) = 6*a(x) + 7*i(x). Differentiate c(n) wrt n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1095675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377653683.\nAnswer: 48481, 49043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.761 and -0.2?\nAnswer: 0.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -256385 and -0.014?\nAnswer: 256384.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000048250231 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let l(p) = 6*p**2 + 3*p + 3. Let q(j) = -9*j**2 - 5*j - 5. Let c(y) = -5*l(y) - 3*q(y). Give c(d(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15334*q + 7673*q + 7565*q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2\/6)\/(14\/(-3) + 7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00285945 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*i - 314 + 314)*(1 + 3 - 3 + 2 - 3 + 2 + (-2 + 3 + 0)*(3 - 3 + 1) - 5 + 1 + 2) to the form s*i + a and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -501*y + 248*y - 553 + 255*y - 110 in the form r*y + u and give u.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 21 - 58 - 68519*l - 17 + 24247*l)*(-3*l**2 + 3*l**2 - 2*l**2).\nAnswer: 88544*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15336 and 60?\nAnswer: 76680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**2 - 7710*j - 124128 = 0.\nAnswer: -16, 2586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 + -5. Let n = -91.84 + 91. Let r = n + 0.14. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8399)\/(-5448) + 2\/16.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 10\/6)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(1764) - sqrt(1764))*3)\/(((1*sqrt(700) + sqrt(700))*3 + sqrt(700))*3).\nAnswer: 9*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let u = x + -8\/3. Are u and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18\/18 - (-150 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:16 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + (-1161)\/63 - (-3)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 80*d**2 - 149*d - 51. Calculate z(38).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4565, 2430.\nAnswer: -19, 2430, 4565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -136342.\nAnswer: 1090736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/2528)*74375\/(-34). Round t to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-418)\/(-12) + (-2)\/(-12). Let v = s - 25. Suppose -3*i - 3 = 0, -d + 8*i + 19 = 11*i. What is the least common multiple of v and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61074 = 553*z - 596*z + 1609*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/30 and -93\/30438250.\nAnswer: 91314750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039877, 1040006, 1040231, 1040558, 1040993, 1041542?\nAnswer: 1042211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (19 + -19)) + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 274460768609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1.3, 1\/11, 0.11, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2 - i + 5. Calculate h(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 + -50.2. Let p = 50 + h. Which is the nearest to 0? (a) p (b) 2\/9 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/120)\/(4\/(-80)). Which is smaller: -23 or m?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8769 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51470286 divided by -5.\nAnswer: 51470286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 88, -11?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1133075 - -722?\nAnswer: 1134017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -82*r - 11. Let v = 86 + -90. What is the units digit of t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - 4*m)*(198 + 390 + 491) to the form a*m + c and give a.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 62. Let i(k) = 29*k - 15. Let f be i(w). Let d = -56 - f. What is the remainder when d is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821118 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 not equal to -16585\/1649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -7973?\nAnswer: -7989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.9. Let m = -2.6 + 2.5. What is the third smallest value in m, -5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t + 4*x = 146, 5*t - 3*x = 195. Suppose 30 = 8*j - 3*j. What is the greatest common divisor of j and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 2. Let v be (-15)\/(-5) - (3 - (1 - -1)). Solve 0*q**3 - 4*q**v - s*q**5 + 6*q**3 + 0*q**2 = 0 for q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -493 - -742. Suppose 10*l = 7*l + s. Calculate the remainder when l is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/(q*q**(-2\/13)))**(-2\/33))**(-3\/2) assuming q is positive.\nAnswer: q**(2\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24171775 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 715 times 174\nAnswer: 124410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 156*1*(-4)\/(-16). Suppose 2*z + 38 = z. Let b = h + z. Let k(s) = -s**2 - s + 1. Let o(t) = t - 1. What is b*k(c) + 2*o(c)?\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852*a - 37*a = -2375*a - 1564*a + 39650 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 14*p = 3*u - 25, 5*p - 104 = -5*u - 54 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + 3 - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:52 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*l - 2*l**3 - 14*l + (-l - 1 + 1)*(2 - 2 + l**2) + 1 + 2*l**3 - 1 - 4*l**3 + 3*l**3 - l**3 - 10*l**3 + 118 - 118 - 2*l**3 - 3*l**3 + 4*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -3*n + 1963. What is the second derivative of 3 - 62*y**2 - n*y + 3 - 1 - 80*y**2 + 549*y wrt y?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 3*p - 15. Let t be x(6). Let d be 118*t\/4*2\/3. Suppose 5*k - 3*k = 5*o + d, 5*k - 21 = o. Is o not equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k - 7 + 2\/9*k**2 + 2\/27*k**3. Determine c so that h(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 43 + (-2 - -18) + -1 + -1 + -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 3 (c) 5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + (-1)\/(-3). Put -4, b, 3 in ascending order.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 + -4?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + j + 6 = -2, 3*n + 4*j = 28. Suppose n*t + 1 = 77. Suppose -48 = -5*y - 4*q - t, -5*q + 25 = 5*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*b - 5*f + 2*f, 10*f - 332 = 3*b - 458 + 224 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2. Let c(b) = -15*b + 33. Let p(w) = 6*c(w) + 99*q(w). Let i(u) = 2*u**2. Determine p(i(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -42.49. Let f = u - -1.51. Let j = 3 + 3. Sort j, -0.3, f in decreasing order.\nAnswer: j, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - -4) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86802640 by 5.\nAnswer: 17360528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -217?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -439 + 442. Suppose -u*y + 3*x + 10710003 = 0, -3*x + 0*x = 5*y - 17849997. What is y rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + 1 - 4 - o - 2 + 2 to u*o**2 + n*o + g and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 9 = -u. Let k(l) = 6*l - 9*l**2 - 9*l**2 + 10*l**2. Let j(t) be the second derivative of -7*t**4\/12 + 5*t**3\/6 - t. Give u*j(p) + 5*k(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2 - 21530*x - 115885225 = 0.\nAnswer: -10765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*s + 0*s + 47 = 0, -5*s = -5*z + 45. Let w = -20 - -45. What is the remainder when w is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:08 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/69)\/((50\/35)\/(180\/35)) - -67?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:00 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**8\/105 - g**7\/42 - g**6\/90 - g**3 - 3. Let r(q) be the third derivative of z(q). Factor r(f).\nAnswer: -4*f**2*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11086343 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25340531 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 37*f + 43488 = 33*f, 4*f = -8. What are the prime factors of j?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/81 (b) 0.5 (c) -3 (d) -1\/3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, 4\/7, -14\/5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 26*l + 136 = 0. Put l, 3, -5, -3 in increasing order.\nAnswer: -5, -3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34771 * 0.3.\nAnswer: 10431.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49252 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, -10\/7, 1\/7, -38\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 449488?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003238 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 58\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2463701 divided by -6\nAnswer: 2463701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.7 - -31. Let h = v + 0.9. Let f be -4 + (-2)\/(30\/(-57)). Which is the third smallest value? (a) f (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.03, -3, 0.2 in descending order.\nAnswer: 2, 0.2, -0.03, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389\/42 - -66\/7. Which is the nearest to -0.1? (a) q (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2215\/(-1329))\/((-5)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 10. Let q = g - 4. Suppose 23*i = 30*i - 42. Solve 0 = 4*m - q - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 164*a. Let u(k) = 224*k - 332. Calculate u(g(c)).\nAnswer: -224*c**2 + 36736*c - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 12. Suppose 0 = 3*j + 5*m + 59, -2*m = -n*j - 4*m - 65. Let t = j + 47. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13011697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 10 - 2. Let t = -4 + y. Suppose t*o + 2*j - 8 = 0, 0 = -0*o - 5*o - 3*j + 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 595*j = -592*j + 19, 3*q + 31 = -5*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(1\/15)*n)\/n)\/n)\/(n\/n**(-2\/23)))\/(n**(-6\/5)\/n**(5\/6)) assuming n is positive.\nAnswer: n**(233\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-744)\/112 + 7)*12\/(-15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 4*a + 5 - 3*a + 4*a - 2*a - a - 3*a + 3*a + (-2 + 1 - 1)*(-2*a + 5 - 5) - 2*a - 2*a + 3*a + 14*a - a + 0*a + 1.\nAnswer: 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**6\/(a**(1\/5)*(a\/(a\/(a\/((a\/a**(-4))\/a))))\/a) assuming a is positive.\nAnswer: a**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-2*sqrt(5) - sqrt(5)) + (sqrt(20) - (sqrt(80) - sqrt(20)) - sqrt(20))\/sqrt(4) + 4 + -4 + sqrt(20) + sqrt(5))**2.\nAnswer: 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 2*f**2 + f - 1. Let d be n(2). Let c be (-2*1\/(-6))\/(d\/135). List the prime factors of ((-1422)\/14)\/c - (-5)\/35.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/19, -2, -3, 12\/47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 + 7*t**3 + 5*t**3 - t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -563926 != -563987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9788\/(-2447)*(243\/(-244) + 1))\/1.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 25 = 0. Suppose 5761 = 3*m + 1261. Suppose -p - j = 3*j - m, -a*j = 0. Round p to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95)*-5 - sqrt(95))*2)\/((sqrt(500) + (sqrt(500)*2 - sqrt(500) - sqrt(500)))*-2 - sqrt(500)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/3)*v)\/v*v**2*v)\/(v**(-7)\/(v\/(v\/((((v\/(v*v*v**(-7)*v*v*v))\/v)\/v)\/v*v*v)*v)))*v*v**(3\/7)*v**(-2)\/v*(v**(1\/5))**(5\/7) assuming v is positive.\nAnswer: v**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9*63\/(-270)*10\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 2*m**2 + 2 + 1021*m - 1021*m)*(0 + 0 + 2*m).\nAnswer: -8*m**4 - 4*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 + 20 = 0. Solve 2*d + b = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - k - 19, -9 = 533*a - 536*a - 5*k for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64731394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-5486*a**3 - 1986*a**3 + 3224*a**3).\nAnswer: 16992*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 38181, 14 in increasing order.\nAnswer: -2, 2, 14, 38181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14762 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 92 = -91 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:04 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2. Let q(r) = -80*r + 86*r - 64*r - 8*r. Give q(p(y)).\nAnswer: -330*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/((-45)\/90)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 3}. What is prob of picking 3 l and 1 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h. Let u(c) = 152*c**2 - 61*c. Determine u(n(s)).\nAnswer: 2432*s**2 + 244*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/4 - (-3 - 0). Suppose 2*d - 16 = -2*d. Solve f = d*f + a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(2873\/78)*(-67)\/(1206\/(-180))\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 6*o**2 - 5*o. What is s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let s(g) be the first derivative of g**2\/2 - g + 6. Let z(j) = 15*j - 9. Let t(o) = 9*s(o) - z(o). Determine x(t(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c - 5*q - 19, 3*c + 4*q + 9 = 0. Suppose -41 + 16 = 5*r. Put c, r, -4 in decreasing order.\nAnswer: c, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 12}. What is prob of picking 2 f?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 11*l - 4. Let b be z(-9). What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 29 - 90 = 0. Solve 5*o - c = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-6 - (1116\/(-981) - 8)). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -21. Suppose 5*w - 12 = 3*f, f + 3*w = -r*f - 12. Is 3\/4 + (-41)\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-12))\/((-6)\/88). Suppose -2*j + w = -36. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-35)*5*1\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diyiiiiqiddidiitiddy. What is prob of sequence dt?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -2966.4.\nAnswer: -14832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 406*k - 192. Let h be f(101). Calculate the highest common factor of 305 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-202830)\/(-40) + 2\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -293, 8, 72.\nAnswer: -293, 2, 8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1.3 (c) 4\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 - 56*n**4 - 358*n**3 + 56*n**2 + 360*n = 0. Calculate n.\nAnswer: -18, -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**3 - 137*k**2 - 621*k - 30296369 with respect to k.\nAnswer: -24*k**2 - 274*k - 621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/20 + 11*v**3\/15 + 4*v**2 + 28*v\/5 - 33. Solve g(u) = 0 for u.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 13*i + v = 0, 2*v - 8 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k)\/k**2)\/((k\/(k\/k**(1\/3)*k))\/(k*k**(-4\/3)\/k)) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -901, -5, -4.\nAnswer: -901, -16, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40455 + -5?\nAnswer: -40463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -5 + (-2 - -7) + 1 + -3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 33*n**3 - 27*n. Let y(c) = -c**3 + c. Calculate 2*q(b) + 54*y(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 43*i = 60. Suppose 9*f - 21 - i = 0. Solve -f*k + 4*k + 2 = m, -4*k + 16 = 4*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2\/7)*r)))\/r)**(-6\/19)\/(r\/r**(-9\/5)*r**(1\/8)) assuming r is positive.\nAnswer: r**(-15081\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1986*y + 972*y + 14 - 2*y**2 + 980*y as w + p*y + a*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.4. Let y(i) = -i**3 + i**2 - 5. Let q = -2 + 2. Let v be y(q). Which is the third biggest value? (a) v (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*c = 6*d - 15, 3*c = 5*d - 13. Suppose d*l - 2453 = b, 0 = 3*l - 4*b - b - 3669. Suppose -8*a + l = -4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9804\/(-9)*27\/(-6). Let m be (-16)\/(-2) - x\/513. Which is greater: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 8*l**3 + 9 - 4.\nAnswer: 8*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0686218 or 2.08?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8213*f + 130069 = -27924*f + 346890 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90433, -90477, -90603, -90853, -91269, -91893, -92767, -93933?\nAnswer: -95433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*n - 6, -25 = -5*y + 5*n + 5. Solve 4*d = 5*m + 7 + 5, y*d - 4*m - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4355595 and 23\/278595.\nAnswer: 178579395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 9*b + 4*b - 22, -8 = 4*u + 4*b. Let g(k) = k + u*k - 5 - 2*k. Let d be (2 - -2)*45\/36. Give g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 13 = 3*x, 3*u - 26 = 3*x - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 28*y + 29*y - 73*y - 7*y**3.\nAnswer: -7*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16991 and 5228?\nAnswer: 67964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 500018095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18*c**2 - 2*c - 2. Let k be l(2). Suppose -19 = -5*r + k. Calculate the remainder when (-3 - -51)\/((-6)\/(-4)) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164, -1390, -4718, -11198, -21880, -37814?\n\"Answer: -175*p**3 - p**2 + 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 2*o + 4*o)*(-43*o**3 + 3*o**3 - 25*o**3)*(4 - 5 - 7).\nAnswer: -1040*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*t + 4, -115*t = 4*o - 109*t + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Solve -3 - 1 = u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6861*r + 27435. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 115924*w**2 + 695668*w + 579740.\nAnswer: -4*(w - 28987)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = 19*l - 50*l. Let y(k) = -5*k**2. Let t(x) = -x**3 + x**2. Give l*t(g) + 3*y(g).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/860 and 65\/8194682.\nAnswer: 81946820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 2*a**2 + 14 + 5*a**2 - 4*a**2 in the form o*a**2 + f*a + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 403*y + 403*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 186*u - 2055. Let z be s(11). Let k(b) = 3*b. Let v(w) = -w**2 + 2*w. What is z*v(y) + 6*k(y)?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 16*c**2 - 17*c. Let d be u(17). Which is smaller: d or 8\/39?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445*o + 38 - 38.\nAnswer: -1445*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551, 565, 605, 683, 811, 1001, 1265?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1.1. Let o = -6 - -5. Let k = -1.5 - 0.5. What is the smallest value in x, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 168778508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 6*i - 10. Let d be q(-7). Let b be 132\/20 - d\/(-5). Suppose -o + b = -0. What is the remainder when 11 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73245 and 292980?\nAnswer: 292980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552 and 712632?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11 = -33. Let l = f - -13. What is the second derivative of l*b**5 + 0*b**5 - 55*b + 50*b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10546 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, -1, 3, 241 in ascending order.\nAnswer: -1, -2\/3, 3, 5, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55885387.07 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/20 + m**2. Let s(z) = -11*z**2 - 5*z + 5. Let f(y) = -27*y**2 - 12*y + 12. Let i(c) = -5*f(c) + 12*s(c). Give l(i(h)).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 1, i: 4, t: 3}. Give prob of picking 1 t, 1 i, and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - 5*g**3 - g**2\/2 - 11*g - 1071. Determine j(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 4*l**2 - 6*l + 6. Let z(m) = m - 1. Suppose -3*r + 21 = 5*p, -3*r - 27 = p - 4*p. Give p*z(g) + k(g).\nAnswer: g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 11*j - 15*j. List the prime factors of -5 + 14 + 7220\/j.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 + -168.99903. Round c to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*a + 196 + 34, -235 = -5*a - o. Calculate the highest common divisor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = b, 0 = -5*n + 5*b + 20. Suppose 3 = n*d, 3*d + 1745015 - 285018 = -5*r. What is r rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-44)\/(r**(-4\/3)\/(r\/((r\/(r*r\/(r**5*r*r)))\/r))))\/((r**5\/r*r\/((r*r*((r**(-2)\/r)\/r*r)\/r)\/r))\/(r**(3\/8)*r**(1\/5))) assuming r is positive.\nAnswer: r**(4069\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 102*x - 119 + 1370*x**2 - 1374*x**2 - 100*x to w*x**3 + y*x**2 + a + m*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 6. Let y be (18\/(-15))\/(2*(-3)\/20). Suppose 0*x = -y*x + 20. Determine d(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + 5*h**4\/6 - h**3\/3 - 6*h**2 - h. Let n(y) = -4*y**2 + 451*y + 1858. Let p be n(-4). Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-3 + 2 + 3)*(-204*g + 152*g + 128*g) + (-3*g + 5*g + 0*g)*(7 - 19 + 19) to the form v + p*g and give p.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14879636 rounded to five decimal places?\nAnswer: 0.1488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 1 + 19. Let a be (n\/(-6) - 3)*6. Let z be (15\/12)\/(a\/16). Solve -5*w + z = -4*w - 2*r, -4*r - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-3\/2)*w*w*w**(-1\/54) assuming w is positive.\nAnswer: w**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 75 = -2*p. Let q = p + 56. Suppose -5 = -2*c - 13, -3*g + 4*c = -79. What is the remainder when q is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 3)*(3 + 1 - 7)*(3*a - 6*a + 2*a)*((5 + 17 + 14)*(0 + 4 - 3) - 2 + 0 + 3) to the form d + l*a and give l.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*r + 725115 + 449619 = -43*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 44. Suppose 2*f = f. Suppose 2*v = 2*x + 8, 0 = 4*v - 2*x + 77 - 119. Calculate the remainder when q(f) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56210 and 0.03.\nAnswer: 56210.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 2. Let u be i(-2). Suppose 0 = -u*m - 4*s - 32, 3*m = -2*s + 2 - 23. Let n = 16 - m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 9 + (-4 + -1 - 3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 246*y + 5*y**2 + 493*y - 246*y + (2*y - 4 + 4)*(y + y - 3*y).\nAnswer: 3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287963, -1152136, -2592423, -4608824?\nAnswer: -7201339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25981, -52237, -78493, -104749, -131005?\n\"Answer: -26256*v + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0867 - -5.5233. Let h = -0.91 + c. Let y = h + -4.5. Sort -0.5, y, -1\/5.\nAnswer: -0.5, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.42503 tonnes?\nAnswer: 6425030000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from pnnnnnp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/12*3*-2. Solve z = -6 + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2 = -31*i + 29*i, 0 = -5*i + 2*z - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*a - 18080 = 49540 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-5)\/15 - -882. Let p = -488 + n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -900001*h - 2. Let m(q) = q**2 - 2*q. Let s be m(4). Suppose -5*g = -g + s. Let x be o(g). What is x rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-338957)\/32 + 4 - 0. Let z = 10587 + u. Find the common denominator of -47\/20 and z.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-9)*f)\/(f\/f**(2\/15)*f*f)*(f**(-9)*f)\/f**7)\/((f*f**(3\/5)*(f\/(f*f\/(f*f**4)))\/f)\/(f\/(f*f**(-2\/5)*f))**12) assuming f is positive.\nAnswer: f**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10168)\/48)\/(-31) + 1\/6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)\/c*c*c)**(-19)\/(((c\/(c**(-1\/10)*c))\/c)\/(c\/c**2)) assuming c is positive.\nAnswer: c**(-571\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 403560?\nAnswer: 403536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/565 and -121\/678.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**4 + 5*f**3 + 14*f**2 + 5. Let n(k) = -26*k**4 - 14*k**3 - 42*k**2 - 14. Let u(d) = 5*n(d) + 14*t(d). What is the third derivative of u(r) wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15632 (base 10) to base 4\nAnswer: -3310100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117062029 is divided by 241365.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/13)\/(g**23\/g)*g**13\/g*g*g*(g*g**(2\/59))\/g assuming g is positive.\nAnswer: g**(-6287\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/((y**(1\/7)*y)\/y))\/y*y*y**(-2\/11))**(-27)*(y\/y**(-1)*y)**(3\/10)*y**(-3\/5)\/y*y*y\/y**(-1\/2) assuming y is positive.\nAnswer: y**(-16722\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.6 - 77.6. Let z = b + 62.9. Sort 5, 4, z.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 5*u + 6. Let q be p(5). Let n(a) = a**2 + 3*a - 12. What is the units digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538928 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2756, 2198, 1210, -208, -2056, -4334?\n\"Answer: -215*y**2 + 87*y + 2884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*w - 70 + 64, -6 = -3*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151701?\nAnswer: 3, 11, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5, -78, 0.4 in decreasing order.\nAnswer: 0.4, -1\/3, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0)*39\/(-2). Suppose -5*b + 2*z = -60 - 6, 3*b - z = v. Calculate the remainder when (165\/(-2))\/(-5)*2 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 74. Let p(d) be the first derivative of d**3\/3 - 5*d**2\/2 - 2*d - 1. Let v be p(h). Let w(a) = -a**3 - 6*a**2. Give w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720142404?\nAnswer: 2, 3, 60011867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -2233809?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*s - 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(270) - sqrt(30)) + sqrt(30) - (sqrt(4320) + -2*sqrt(4320)))\/(sqrt(150) + (sqrt(150) - sqrt(150)*1 - sqrt(150)) - -6*sqrt(24)\/sqrt(4)).\nAnswer: sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 + 9*l + 123. Let c be q(-8). Let v(b) = c*b - 262*b - 282*b. Let n(k) be the first derivative of -k**2\/2 - 1. Calculate n(v(x)).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 8*k - 24168 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5543553 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:49 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 20, -2*x - r + 3*r + 830 = 0. Let v = -8303\/20 + x. Find the common denominator of v and 96\/528 + (-6104)\/176.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-2706330679\nAnswer: -2706330678.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 1160*w**2 + 33656*w - 238336 = 0. Calculate w.\nAnswer: -608, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -249*j**3 - 2*j. Let n(t) = 250*t**3 - t**2 + t. Let s(v) = 5*h(v) + 6*n(v). Suppose 0 = -6*z - 31 + 7. Let i be s(z). Round i to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462 (base 7) to base 15.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 283891?\nAnswer: 1135564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + o + 4 - 5*o. Let l(j) = 3*j - 3. Determine 3*b(i) + 4*l(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04098695675 to 4 dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6923.9996549 - -6924. What is n rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145.00000091 - 145. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*m - 70 = 0, 3*n + m = 42 - 100. Let o = n - -22. Solve 0 = -5*w - o*i - 17, -i + 5 = -w - 3*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**0\/y*y)**43)**(-23)*((y\/(y\/y**(1\/2)))**(-2\/151))**44 assuming y is positive.\nAnswer: y**(-298722\/151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let j = -80 + 76. Let p(f) be the first derivative of -f**3\/3 - f**2 + f + 1. Give j*u(m) - 2*p(m).\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -114. Let n(w) = -w**3 + 9*w**2 + 6*w - 37. Let z be n(f). Calculate the greatest common divisor of 68 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025458 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -657?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49212\/29 - -1697. Find the common denominator of u and 51\/11.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9213*x + 351267. What is p(-38)?\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 23*z + 19 = -11*z + 199 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 3) to base 7\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 64?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*((d*d**(-2\/13))\/d)\/d*d*d**(2\/27)*d**(-6)\/d)\/(d**(-4)*(d\/d**(5\/2)*d)\/d*(d**1)**41) assuming d is positive.\nAnswer: d**(-27785\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1359*-1\nAnswer: -1359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4740\/910 + 14\/(-49))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 9*j**2 - 9*j - 5. Let q be x(10). Let d be ((-10)\/7)\/(-14 - (-1824)\/133). Solve 25 - q = -d*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 76 + 59 = -20*p, -k = -4*p - 39. Suppose -2*m - 4*r + 36 = 0, -4*m + 2*r = -3*r - 7. Calculate the remainder when k is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15093723.\nAnswer: 3, 103, 48847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62473.699984 - -62473. Let q = -0.794 + 0.094. Let j = q - u. Round j to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 9386?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, t: 8, m: 1}. Give prob of picking 2 t.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -590, 6\/11, 0.1, 4\/21?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a meter in millimeters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9031 * -4862\nAnswer: -43908722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {o: 1, u: 1, l: 2, c: 2, x: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12\/13)*k**7)\/(k\/(k\/k**(-4)))**(-1\/3) assuming k is positive.\nAnswer: k**(224\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54372279 is divided by 6254.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -15 - -5) + 1 + 9 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 10122010?\nAnswer: -10122013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 11*a + 66, 4*l + 656*a + 59 = 651*a for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + 9*y + 48. What is k(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302410.\nAnswer: 2, 5, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*x - 349*x + 132*x + 636*x**3 + 102*x.\nAnswer: 636*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*a + 1982*a - 453*a - 657*a + 8*a**3 - 435*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 7*j + 12*j**2 - 18*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 w, and 1 g when four letters picked without replacement from {g: 11, w: 1, l: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/421 in 1, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828185.\nAnswer: 3, 5, 307, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 - 492 = 3*z - 4*h, 2*h = 2*z + 532. Which is bigger: z or -259?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3728*z + 3728*z + 2003*z**2 to the form m*z**2 + x + g*z and give m.\nAnswer: 2003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 5\/2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -154, -474, -802, -1138?\n\"Answer: -4*v**2 - 308*v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567984697.\nAnswer: 7, 31, 181, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -7. Let h = 6 + j. Let c(q) = -18*q**2. Let g(b) = -17*b**2. Let a(z) = h*c(z) + 6*g(z). Let t(i) = -i. Determine a(t(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30630 = 1522*j + 13015 - 20023 - 12588 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/9 - (-2)\/9. Let t(z) = -z**3 - 5*z**2 + 5*z - 2. Suppose -6 = -d + 2*d. Let s be t(d). Solve s*n - 20 = -n + y, w*y = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + (-17 - -50 - 30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 3*x - 7. Let q be (10\/(-3) + 3)*-18. Is y(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11580 + 14038. Calculate the remainder when v is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.14, -165, 2\/5, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 152222?\nAnswer: -152225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-686)\/4*(7 - 9). Let t = -83 + k. Suppose -7*d - t = -12*d. 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: Solve 3*o + 336*r - 341*r = 31, 0 = 10*o + 3*r - 64 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as -4\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -115567 (base 8) in base 5?\nAnswer: -2233144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 63. Let j(x) = -3*x**2 - 3*x - 156. Let t(m) = -2*j(m) - 5*p(m). Suppose -5*l - 6 = -3*l. Calculate t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7279?\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, l: 2, m: 1, i: 1, q: 1}. What is prob of sequence lqd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y + 7. Let t be j(7). Suppose -810 = -2*p - t*p. Let l = -35 + p. Calculate the greatest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1560565, 1560571, 1560581, 1560595, 1560613, 1560635, 1560661?\n\"Answer: 2*a**2 + 1560563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/30 + c**3\/6 - 5*c**2. Let l(r) = -3*r**2 - 2. Calculate 5*a(f) + 3*l(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djcrrwrjjjjddrdr. Give prob of sequence jddr.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-162))\/((-6)\/180*-5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92946, 185897, 278858, 371829, 464810, 557801?\n\"Answer: 5*g**2 + 92936*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n - 5, h + n + 3 = 0. Suppose -4*m = -h*q - 62, q + 46 = -m + 4*m. What is the remainder when 60*33\/22 - 2 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -0.4, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 - g**2 + g - 2. Give k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 5, 3, 44?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 496311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.088 + 5.088. Suppose -3*t - 3*k = 2*k + 3, -2*k - 12 = 3*t. Let n be 2\/(-4*1\/t). Sort z, n, 0.1 in descending order.\nAnswer: z, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - -3.73. Which is the second biggest value? (a) -1 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 5*z + 2. Suppose 5*y - 2*h + 22 = -5*h, 2*y = 3*h - 13. Let k be m(y). Let p(n) = 2*n - k*n - 5*n. Let b(o) = -o. Calculate p(b(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5))**(-25\/2)\/(n**1*n*n**(1\/6)\/n) assuming n is positive.\nAnswer: n**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -59*k + 35*k - 24. Solve -5*n = -5*u, -3*n + 4*u + k = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q = 60. Let g = 33 + q. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(((-374)\/55)\/(-17)))\/(2\/(-6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 22*s**2 - 22*s + 53. Calculate m(-23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -2\/3*v**3 + 3 + 0*v**2 + 11\/20*v**5 + 3*v - 1\/12*v**4. Find the third derivative of n(g) wrt g.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000000110010 + -10?\nAnswer: 11100000000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1513412 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11577 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {x: 1, r: 3, c: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 115 = 0. Let z be (-545)\/109 - 1\/(2\/4). Let t be (-4)\/14 - k\/z. Solve -4 = -4*x - 4*b, -x + 0*b = 2*b - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccjccccscssssjjccj. Give prob of sequence sjcj.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 18. What is the tens digit of (-6 + (-76)\/(-12))\/(g\/234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(6*n - n - 4*n) + 0*n - n + 2*n + 0*n + 0*n + n + (-1 - 3 + 6)*(0*n + 3*n - 4*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(133) + -4*sqrt(133) - sqrt(133) - sqrt(133))*1 + sqrt(133)))\/(sqrt(567)*-3*3).\nAnswer: -8*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25137, 25082, 24933, 24642, 24161, 23442, 22437?\nAnswer: 21098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 4. Let d be 3\/15*11 + 1\/(-5). Let n be a(d). Suppose -k - n = -3*y - 5, -4*k + 16 = 2*y. Let t(j) = j**2 - 3*j + 4. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.405 or 0.1?\nAnswer: 0.405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 12 - 4 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 + -132. Calculate the remainder when t is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 10*g + 5. Let r be c(-11). Find the common denominator of -93\/4 and (2\/6)\/(r\/(-453)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 9*z + 13)*(-4*z**2 + 1 - 1)*(z + 2*z - 2*z) in the form j*z + y*z**2 + h + t*z**3 + a*z**4 and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -1005*y + 1002*y - 5*a - 18, 3*y = -15*a - 72 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/210 + o**5\/140 - 9*o - 17. Let l(k) be the first derivative of x(k). Solve l(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 - 254. Solve -5*d = -3*f - 10*d - 19, -23 = -4*f + j*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 20*q**2 + 21*q + 272. Let a be z(18). Sort a, -2\/3, 1\/38.\nAnswer: -2\/3, 1\/38, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3458\/823004)\/((9\/42)\/3)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8676679885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 82, 91, 104, 121, 142, 167?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -6) + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {t: 1, d: 4, r: 9, w: 1, j: 1, k: 4}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23211 + 1?\nAnswer: -23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*c + 3*c = -219, -5*n - 213 = -c. Let l = -39 - n. Suppose 4*x + 2*h = 26, l*x = -h - 0*h + 18. Solve 5*f + 15 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 2191\/82863 - 5\/243. Let d = 7169\/1364 - w. Calculate the common denominator of d and (-4)\/6*(-333)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 26 - 38. What is the first derivative of -30 + h**i - h**2 - 4*h**2 + 21 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47451.219 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 7719.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*j = -2040, 0 = -3*y - 4*j + 71 + 1132. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662105.\nAnswer: 5, 132421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 43 = 2*p, -5*p - 12771 = 4*i - 12826. Let v(s) = -s**3 - 2*s**2 - 2*s - 3. Let o be v(-3). Sort p, -3, 3, o in decreasing order.\nAnswer: o, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 2)\/(((-180)\/8)\/15). Let z = -19 - -24. What is the greatest common factor of o and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 350442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.638, 23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 971039097301.\nAnswer: -971039097301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*p - 5 = -0*p - 22 + 13, -5*p - 6 = -16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b = 9*b - 57564. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -7546.\nAnswer: -4\/3773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*x**5 + 329*x**4 - 2*x**3 + 7*x**2 + 6*x - 464?\nAnswer: -1440*x**2 + 7896*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 - 7*s + 6. Suppose 6*t = 12*t - 24. Let d be p(t). Let n = 5 - 0. Solve -5*i - 5*k = -45, -n*i + k + d = -k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 585c2 (base 15) to base 10\nAnswer: 281432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1517\/4? (a) 0.05 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447060.\nAnswer: 2, 3, 5, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h - 127 + 67 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-10)*-20*(-7)\/28. Let l be (-1)\/(t\/(-60))*12\/10. Solve -k - 15 = l*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3166*p**3*t + p**3 - p**2*t**2 - 612*p**2 with respect to t.\nAnswer: 3166*p**3 - 2*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 325, 1310, 2951, 5248, 8201, 11810, 16075?\n\"Answer: 328*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 10 + 9*a + 3*a**2 - 9. Let l be z(-9). Solve 0 = 2*n + l + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 81*m**2 - 241*m - 544. Let h be j(-78). Solve -5*z - h*l = -17, 2*z + 7 + 3 = -5*l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -4.5.\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - 0.06. Let u = b + 22.36. Let a = u + -21.945. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5, -1\/2, 4\/3, -9.8?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let c be (32\/(-12))\/(4\/(-6)). Suppose i + c = -i + 4*v, 5*i = -3*v + 16. Let t(b) = -4*b**2 - 3*b**2 - 3*b**2 + 6*b**i. What is h(t(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 6*y**2 + 7*y + 5. Let b be c(13). Let m = -798 + b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50426 - -204111. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5803.99 + -5804. What is the smallest value in 1, 6\/7, c, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/(((-2)\/10)\/(60\/250)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.7108 (c) -450\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 1022302323121?\nAnswer: 1022302323000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 611*t + 13830.\nAnswer: (t - 30)*(5*t - 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 1 - 6*k + 10*k. Let u be d(1). Let l be u\/((-3)\/(-3)) + 3. Solve 2 = l*o - 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 16*t + 31. Let m be g(14). Let x(c) be the second derivative of 2\/27*c**m + 1\/54*c**4 + 0*c**2 - 2*c + 0. Find a such that x(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376.5 - -376. Which is the smallest value? (a) 3.2 (b) 0.5 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 - 568*s**2 - 26870*s + 58. Calculate k(-97).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = -7*o. Let m be 1 - (-5)\/((-20)\/(-8)). Suppose -m*p + 189 = 5*d, -p - 235 = -o*d - 77. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8)*10*-2. Suppose 0*r = -3*r + 3*a - 603, 977 = -d*r - 2*a. Is 6\/4 - r\/2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -9*n + 12*n - 60, 0 = q. Calculate the highest common factor of n and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11897 and -0.06?\nAnswer: 11896.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/728310 and 61\/8?\nAnswer: 2913240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23258 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0 - 13*s**2 - 13*s**2 + 0 + 27*s**2. Let z(m) = -14*m**2 + 11*m. Calculate z(j(r)).\nAnswer: -14*r**4 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 10. Let y be i(5). Let r(d) = 5*d - 23. Let w be r(y). Suppose 3*v = -4*o - o - 12, -8 = -o + w*v. Solve o = -a + 6*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1045 and 30?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:04 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 - -144. Put 0, n, -0.1, -5 in decreasing order.\nAnswer: n, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 = 1778*r - 2446 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/5 - 4430*j + 22148\/5 = 0.\nAnswer: 1, 11074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*m - 2*m. Suppose a = -w - m*w + 20, -2*a = -4*w + 30. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6339, 6353, 6377, 6411, 6455, 6509, 6573?\n\"Answer: 5*s**2 - s + 6335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/18)\/((-3)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537998.\nAnswer: 2, 3, 19, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 4247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*p - 70 - 15, 2*m = -3*p + 170. Let s = m - 12. Differentiate -23*k + 57 + s - 115 wrt k.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:45 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. What are the prime factors of (7*j)\/(14\/7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324283394 and 5336.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-236)\/(-9) + -4*3\/54 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4*n**2 + 866878*l**3*n**2 + 1040*l*n**2 + 120*l*n wrt l?\nAnswer: -12*l**2*n**2 + 5201268*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:41 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 137, 216, 295?\n\"Answer: 79*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/98 and -29\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5526 + -2479. What are the prime factors of l?\nAnswer: 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56184247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -57*i - 99. Let x be f(-2). Is 49 a factor of (441\/x)\/(-3 - 152\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 142.45422 hours?\nAnswer: 5.9355925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45974021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-2 + 4 + 0)*(-2 + 0 + 4)*(-58*s + 58*s + 9*s**2 + (1 + s**2 - 1)*(9 + 4 - 27)) in the form x*s**2 + w + u*s and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0 + 1\/8*f**4 - 3*f + 0*f**3 + f**2. Let o(h) be the first derivative of t(h). Let m(k) = -2*k. What is o(m(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3904 = -13*z - 19*z. Let a = z - 119. Solve 24 = -f - 5*q, 16 = -f - 0*q - a*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*t**2 - 6*t**3 - 1 + 70*t**2 + (-1 - t**2 + 1)*(-t + 3*t - t).\nAnswer: -7*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -7*x**5\/10 - 3*x**2\/2 - 154*x. Let f(y) = 13*y**3 + 4. Give -3*f(u) - 4*i(u).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87125?\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + (-7 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(171)*-1 + -1.\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l. Let v be 0\/((1 + 7)\/4). Let g(q) be the first derivative of 1\/2*q**2 + v*q + 6. Give a(g(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - w. Let m be t(1). Let a(n) = n + 5. Let k be a(m). What is the third derivative of -y**2 - y**2 + 0*y**k + 2*y**4 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3885 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32111 - -1255?\nAnswer: -30523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8*660\/(-231) - (-18 - (-4)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1426, -2942, -4476, -6028?\n\"Answer: -9*z**2 - 1489*z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22550)\/(-246) + -92 + 118\/(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621 - 594. Calculate the highest common factor of d and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.82986 + -3.9598656. Let b = 12.13 - 12. Let s = a + b. Round s to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19*j**3 - 20*j**2 - 18*j + 22. Let d(b) = 22*b**3 + 19*b**2 + 17*b - 21. Let s(y) = 6*d(y) + 7*f(y). Determine s(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-4 - (2 + -6)). Suppose c = -3*s + 1749 - 99. Suppose 4*g - s = -g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 + (-57 - (10 - -95)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -523 + 356. Let h = k + 166.99665. Round h to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -24, 0 = 14*t - 9*t + x + 127359. What is t rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072085657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6 + 7*y**2 - 6*y - 1 + 7*y + y**3 + 4*y. Let d = -9 - -4. Is 9 a factor of w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5.45. Let q = 0.05 - d. Which is the closest to 0.1? (a) 5 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 7*r - 7. Suppose -2*b = -b + 6. Calculate d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632866612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214014?\nAnswer: 2, 3, 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55253828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b1 (base 16) to base 8.\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/4 - (-6 - -5). What is the highest common factor of 11 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4924*m + 3807 = -3655*m. Let c = -1 - -9. Let j(g) = 5*g**3 + 6*g**2 - 3*g. Let u(r) = -14*r**3 - 17*r**2 + 8*r + 1. Give c*j(d) + m*u(d).\nAnswer: -2*d**3 - 3*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let y = -178\/21 + 50\/7. Which is the third smallest value? (a) y (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4388341832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220935812 and 568.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 14\/10)*580\/(-1392). Factor s*g**2 + 1 - g.\nAnswer: (g - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.005? (a) -1 (b) 1\/4 (c) 0.3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842610 is divided by 3536?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 140 - 29*f.\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 403483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + -2 + -6 + 4. Let g be (4\/x + 0)\/(2\/18). Let o(s) = 5*s**2 + 11*s - 4. What is the hundreds digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5746*j + 2955*j + 20 + 1094*j - 3.\nAnswer: -1697*j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11aa4 (base 11) to base 16.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26446*y - 63 - 29 - 26458*y)*(0*y - 3*y + y).\nAnswer: 24*y**2 + 184*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 14) to base 13\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r. Suppose r = -i + 3, 153 = -p + 5*p - i. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22a76 (base 13) to base 10\nAnswer: 63303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.227 - 0.073. Let t = -2.7 - -1. Let j = f - t. Which is the nearest to 1\/2? (a) 3 (b) 1\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 37, 78, 0, 5, 2 in decreasing order.\nAnswer: 78, 37, 6, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344*z + 9*z**2 - 42*z**2 - 1 - 341*z + 5*z**3 to o*z**2 + u*z + m*z**3 + k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34775 and 23075.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 37*g - 159. Determine b(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 - 369412*c**3 + 4*c**2 + 369412*c = 0 for c.\nAnswer: -92353, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 30. Let m(f) = f + 6. Let q(u) = 5*m(u) - n(u). Let b(h) = -21472*h**2. What is q(b(g))?\nAnswer: -21472*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:19 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 4*o)*(-2 - o + 2) - 3*o**2 + 4*o**2 + 6*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + -2*(3*sqrt(1800) - sqrt(1800)) + 4)**2.\nAnswer: -960*sqrt(2) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let d(c) = -7*c - 6. Let u be (-4)\/(-10) + 33\/55. Let p(k) = u*d(k) + 6*r(k). Let f(j) = 8*j**2. What is p(f(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -28*i - 1188. Determine z(-43).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 125*x - 2191. Give p(18).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3479*o - 6972 = 1813*o + 1915*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2103\/8 - -262. Let y = -29 + 86. What is the common denominator of 4\/(-10) - y\/(-80) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946408582.\nAnswer: 2, 643, 1513537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30720, 245611, 828770, 1964295, 3836284, 6628835, 10526046, 15712015?\n\"Answer: 30683*t**3 + 36*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 243005 (base 7) to base 3\nAnswer: 2020200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82547170*m**6*u**2 - m**2*u**2 + 4*m**2*u + m*u**2 + 73*m*u + 4*u**2 + 23 wrt m?\nAnswer: 9905660400*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9. Let x be q(-3). Which is the smallest value? (a) 2 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -31 + -6 + -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 33*u + 300. Let m be g(-9). Which is the nearest to -2? (a) -1\/2 (b) -2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3872251729 + -1558218574. Let h = o + -2314033116.99999602. Let c = 38 - h. Round c to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -572153.7 and -67?\nAnswer: 38334297.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (-3)\/((-6)\/40) + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (116 - -3)) + -29 + (-48 - -91)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = 0, 2*w + 4*f + 12 = -0*w. Which is the closest to 1? (a) -5 (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/1)\/(-2))\/(8130\/(-111110))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6*(-180)\/(-1404)*26)\/((-36)\/720)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 507*z - 208 = 505*z, 3*z = -3*p + 624. Calculate the remainder when 562 is divided by p.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2023317880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(42)\/(sqrt(864) - sqrt(864)*2) + (sqrt(42)\/(sqrt(6)\/sqrt(2)))\/sqrt(2))*-1.\nAnswer: -11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/(-12) + 4)\/((-1)\/15). Suppose -5*q + 1240 = -d*w, 2*q - 5*q - w + 756 = 0. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 862519821127310 - 862519821127310.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h**2 - 4 - 33*h**2 + 4.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/204 + 4\/6. Let s = 2.4 - 2. Let p = s + -0.3. What is the closest to p in m, 3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125093506, 250187009, 375280512, 500374015, 625467518?\nAnswer: 750561021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - -3.4. Let v = 38.46 + 2.34. Let s = 41 - v. Which is the third biggest value? (a) x (b) -12 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 4*q**2 - q + 1. Let t be x(4). Let b(v) = -v + 2. Let a be b(-2). Suppose 5*w + 5*c + 8 + 7 = 0, 8 = -2*w - a*c. Is t >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1988\/3597 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-281653\nAnswer: -281652.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/34 - (-8 + (-3000)\/(-357)). Is 73.7 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-4)*(-28)\/98*1\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13267718 times -9\nAnswer: 119409462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 5*k + k**2 - 3*k + 3*k**2 - 5*k**2 + 5*k**2 + (-2*k + 2 - 2)*(0 - k + 0) - 2*k + 2*k - k**2.\nAnswer: 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 518256 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: What is the third biggest value in 0, 3, -17.9, 6, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:43 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 579, 575, 571?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*b + 20 + 44, -2*n - 5*b + 19 = 0. Solve 22*y - 40 = n*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74414 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421, 1679, 3775, 6709, 10481?\nAnswer: 15091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17866 + 17868. Solve 0 = 4*h + 3*i + 6, 5*i - u*i = 2*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 + 91*t**2 + 560*t - 40. Calculate q(-7).\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 2 - ((4 - -6) + -6 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/107 - 113\/321. Which is the nearest to -2? (a) n (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23627 is divided by 7857?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654 and 28558?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8096339.\nAnswer: 8096339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-1 + 3))*-40. Let o = i - -97. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398618909 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: Find the common denominator of 11\/96 and -137\/1812.\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11 - 7 + 23 - 12 + 4*x. Let u(d) = 11*d - 20. Suppose -5*a = -4*n - 26, -a + n = 2*n - 7. Calculate a*u(p) - 17*s(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 60*a - 75. Let v(q) = -q + 1. Suppose 7*w - 300 = 3*w. Let d(n) = w*v(n) + b(n). Let u(k) = k. Give u(d(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -80214 divided by 58?\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*b - 4*q - 116, 3*b = q + 92. Let o = b + -24. Find the second derivative of o*s + 25*s**2 - 5*s**2 + 11*s**2 + 3*s**2 wrt s.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 40*b**3 + 108*b**2 - 104*b + 34 = 0. What is b?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -394, -938, -1714, -2722, -3962?\nAnswer: -5434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*m**2 + 2*m + 0*m - 5*m + 4*m + 517*m**2.\nAnswer: 388*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*b + 44 + 1, 0 = 4*y - b - 36. Suppose 12 - 75 = y*n. Let s(j) = j**2 + 6*j - 8. What is s(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10853625901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.18 and 2508298.\nAnswer: 2508303.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 + 12*w - 6. What are the prime factors of y(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -289, -13, 445, 1085, 1907, 2911?\n\"Answer: 91*d**2 + 3*d - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 1982, 4748, 8698?\nAnswer: 13832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -57, -212, -513, -1008, -1745, -2772?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.097 and -15.53.\nAnswer: -15.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o - 1\/6*o**3 + 0 + 1\/2*o**2. What is the first derivative of d(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**5 - 5*k**5 - 674*k**5 + ((5*k**2 - 2*k**2 - 4*k**2)*(2*k - 5*k + 0*k) + k**3 + 0*k**2 + 0*k**2)*(-3*k**2 + 2*k**2 + 2*k**2).\nAnswer: -680*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 2094014185 and -405.\nAnswer: 2094013780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) + (-816)\/(-85) - -3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i**(1\/4)*i**8*i**(-1)*i)**45 assuming i is positive.\nAnswer: i**(1525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51928*391.3.\nAnswer: -20319426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 + 387. Suppose -1 + 8 = -3*t - d, 0 = 3*d + 12. Let w = t + 8. What is the remainder when p is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 2 q when four letters picked without replacement from {q: 2, w: 1, k: 5, b: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 2*y = -40*p + 385, 4*y + 308 = 4*p. Solve p - 66 = 4*z + n, -3*z + 15 = 3*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30772 = 4*d + 4*u, 5*d - 24*u + 28*u = -38469. Let i = 21900 + d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Is 2\/8 + 331\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 - 2*r - 839 + 272 + 225.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/((-18)\/(-10)). Let x(t) = -t - 2. Let i be x(2). Let y = -1.06 - -0.06. Put y, i, v in ascending order.\nAnswer: i, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/10672 - 40473\/1611472. Let h = p - 29159\/5436. Find the common denominator of 2*(-2)\/32*49 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 25\/3*y**3 + 0*y**2 + 54 + 0*y + 13\/3*y**6 + 0*y**4 + 0*y**5. What is the third derivative of s(z) wrt z?\nAnswer: 1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7640*d**2 + 15294*d**2 - 7649*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640118.5 micrograms to grams.\nAnswer: 0.6401185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110002221002 + 2?\nAnswer: -110002221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -228c - 3?\nAnswer: -2290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -44, -55, -50, -23?\n\"Answer: p**3 - p**2 - 25*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18249 divided by -553?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88605.\nAnswer: 3, 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-20)*(-156)\/(-45)*(-6)\/(1\/(-1)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 388\/11, 1, 6, 2\/7?\nAnswer: 388\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*b = -1049*b + 3978 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14*c = -55. What is the second derivative of 1 - 12 + c + 6 + 15*h - 49*h**2 wrt h?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-44))\/((-2178)\/27951).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 30 = 5*h, 0 = -16*h + 12*h - t + 4. What is the closest to -0.01 in -1\/6, h, -5, -21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -61, -85, -127, -193, -289, -421, -595?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374.0544 + 0.0544. Let r = i + 373.7. Which is the closest to -4? (a) -2\/13 (b) -0.02 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*a + 2*a. Factor -c**4 - c - 23*c**3 + c**2 - a*c**3 + 48*c**3.\nAnswer: -c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1787 - 293 + 75)*(-2*q + 4*q + 0*q)*(-q + 2*q - 4*q) + q**3 - 5*q**3 + 2*q**3.\nAnswer: 4*q**3 + 12030*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.6 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*i - 18572, 3*g = 2*i + 7*g - 9308. Suppose 2*c + i = 13252. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -y + 101, 3*i + 306 = 4*y - 93. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 33 = 46*w. What is the smallest common multiple of 7 and w?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 31. Let t be h(-7). What is the common denominator of 5 + -5 - t\/52 and 29\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-654)\/(-63547)*53)\/((-56)\/22)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14465033 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/11 - 21\/44. Let l = 117\/761 - 2341\/5327. Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -19808272*g**3 + 15424*g**2 + 15424*g - 15424. Let v(q) = -3853*q**3 + 3*q**2 + 3*q - 3. Calculate 15424*v(t) - 3*y(t).\nAnswer: -3856*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/20 - 2\/((-3840)\/1304) and -37\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + v = -v - 862928, 5*v - 431452 = 2*a. Let w = 8731 + a. What is w rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k - 32. Calculate c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s**2 + 57*s**2 + 4*s + 58*s**2 - 151*s**2.\nAnswer: 3*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let d(u) = u**3 + 5*u**2 + 2*u - 6. Let f be d(-3). Let j = t - f. Let a(o) = 2*o + 3. Give a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (19 + -74 + 28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.126 + -1.874. Which is the second smallest value? (a) -3 (b) 1 (c) -0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 + 21*c + 10. Let d(p) = -13*p**2 + 41*p + 19. Give -6*d(i) + 11*s(i).\nAnswer: i**2 - 15*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*s - 25 + 54, -u - 4*s + 9 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 2. Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0129468464 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*d = -3 + 1, 0 = y - 5*d + 7. Suppose -y*a + 84 = -0. Suppose 0 = 4*q + q - 20. Calculate the greatest common factor of a and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58652441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*6\/81*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 1921003664.125.\nAnswer: 1921003678.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518394700 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 764990\/75 + 10\/75. Let z(u) = 16*u**3 - u. Let g be z(1). Let p be (250\/g)\/((-1)\/y). Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let n(j) = 4*j - 1. Let m(k) = 96*k - 289. Let l be m(3). Calculate l*n(u) - 3*d(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -36 - (-37 - -49)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/6)\/(-35))\/((-2)\/(-120)*2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313\/3 - 6259\/60. Let u(c) be the third derivative of -c**2 - t*c**5 + 0*c**3 + 0*c**4 - 1\/80*c**6 - 1\/420*c**7 + 0 + 0*c. Factor u(n).\nAnswer: -n**2*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.9 - -8. Sort -0.1, j, 4 in decreasing order.\nAnswer: 4, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/20 - b**4\/2 - 11*b**3\/6 + 9*b**2\/2 - 369*b. Determine k(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 218998918.\nAnswer: 3\/218998918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2272.1 - -2269.1. Which is the biggest value? (a) 3\/7 (b) 2\/9 (c) 2\/11 (d) -0.0375 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3)*h)**3\/(h**1*h\/(h*h\/(h\/h**3))))**(1\/16) assuming h is positive.\nAnswer: h**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from kxkx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-5 - (-9 - -4)) + -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145*b - 29640 = 1535*b for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(48\/(-49)) - 2. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 48. Is 24 a factor of (0 - -36)\/((-15)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 2*r + 5*r. Let z(s) = -570*s**2 - 150*s + 75. Let p(k) = -30*k**2 - 8*k + 4. Let c(j) = -75*p(j) + 4*z(j). Calculate y(c(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 2*n**3 + n**2 + 13478 + 3*n**3 - 13471 - 13*n + 2*n**4 to the form v*n**4 + o*n**2 + p + i*n + h*n**3 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 11*q**2 - q + 15. Let x be ((-6)\/(-9))\/((-1)\/6). Let i = x - -15. Let l be z(i). Solve 0 = l*s - t - t - 14, -3*s - 4*t = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -356?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3, -9\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/15 - 4\/6. Let f = -2369\/6 - -395. Which is the fourth smallest value? (a) -4 (b) p (c) f (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2999912. Round j to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c - 21. Suppose 4 = c*i - 9*i. Solve -4*w + 3*o + 8 = 0, i*w - 3*o - 4 = -0*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/1783 + 110396\/26745. Let s = -1024\/255 + p. What is the nearest to -7 in 8, -1\/7, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2219\/5460 - 9\/(-117) and 17\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170.4 + -171. Is 0.36 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 37. Let m be o(-20). Suppose -1374 = -m*b + 243. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 4.8. Which is the nearest to f? (a) -2\/7 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 109271*n + 655630. Calculate g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-6)\/l)\/l))\/l*l**(1\/5))\/(l**(1\/10)\/(l*l**(-6))) assuming l is positive.\nAnswer: l**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 2*i + 0*i + 6*i - 3*i + 0*i + (-3 + 2 - 1)*(i + i - 4*i) + 1 - 1 - 2*i - i + 2*i - 2*i as k*i + o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -443, -3676, -12469, -29606, -57871, -100048, -158921?\n\"Answer: -464*k**3 + 4*k**2 + 3*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*u**5 - 36*u wrt u?\nAnswer: -2060*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/8*1)\/7*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -q - 3, -5*t = -7*q + 2*q - 15. Solve -1 = c - t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -65715?\nAnswer: -65731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 465511904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5114 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 29 = -5*b - 0, 2*b = -3*n + 27. Let k(q) = 12*q**3 - q**2 - 11*q - 7. Is k(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155809047.\nAnswer: 3, 4229, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t - 20*t - 22*t - 26*t - 11*t + 50*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -43 (b) -1 (c) -3 (d) 39009 (e) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1998 - 10185 - 8189 = 429*t - 1790 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d224 - -1?\nAnswer: -d223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 49. Suppose 4*d - 4 = x*h, 5*h = -3*d + 3*h + 3. Let k be 4\/6*1\/(-2). What is the nearest to k in 2\/7, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -17 + 2 + 1*33. Let g be 4\/14 + 8\/z. Factor 12\/7*c + 0 + g*c**2.\nAnswer: 4*c*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:00 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -721, 5, -7, 2\/19, 3 in increasing order.\nAnswer: -721, -7, 0, 2\/19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.068 and 23.\nAnswer: -24.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*x - 27, 2*a - x = -103. What is the second smallest value in -3\/5, a, 1\/2, 4\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:29 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 8. Suppose -64 = -4*i + 4*n, -j*n = -4*i - i + 74. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(11) - sqrt(110)\/sqrt(10) - sqrt(11)) + -2) - ((3*sqrt(605))\/sqrt(11))\/sqrt(5))**2.\nAnswer: 40*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 27*d + 25*d = 40, 3*n = -16*d - 145 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*g + 9 + 1, 0 = 4*d - 3*g - 18. Suppose -d*p = -p - 10. Let x(a) = a**3 + 17*a**2 + a + 20. Let o be x(-17). Sort p, 4, o.\nAnswer: p, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4462\/19 + 235. Is q at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + -1 + sqrt(171) - -6*1*sqrt(171)))**2.\nAnswer: 84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzzrrrrrrrr. What is prob of picking 2 z and 2 r?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39144369*m*p + 82075*m + 696 wrt p.\nAnswer: -39144369*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 4*a**2 - 2*a - 4. Determine w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -30333968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**2 + 17*d**2 + 86582*d - 86582*d - 79*d**2 + 10*d**2 + 13*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -51.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1082318, -2164632, -3246944, -4329254, -5411562?\nAnswer: -6493868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = y + 5*g + 77, -73*y + 27*y = 3*g + 203 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/80 - 3*b**4\/16 - 44*b**3 - 3446*b**2. Factor d(h).\nAnswer: 3*(h - 22)*(h + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y. Let c(t) = 2*t**3 + t. Suppose 12 = -2*b + 4*r, 2*b + 12 = 8*r - 5*r. Let z be 10 - 3\/(3\/4). Give b*c(m) + z*a(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*v**4 - 53*v**3 + 13*v**2 - 4*v + 15117.\nAnswer: 2136*v**2 - 318*v + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*r + 0 - 56*r - 7*r**3 + 2.\nAnswer: -7*r**3 - 134*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/(66\/462))\/((-4)\/(-880)*-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(3\/84)\/((-14)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1281*j**3 + 3*j**2 + 11*j + 9. List the prime factors of q(-1).\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {f: 2, c: 3, q: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 26.94. Which is the closest to -1? (a) -2 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 258*o**4 - o**3 + 131*o**2 - 45293*o wrt o.\nAnswer: 3096*o**2 - 6*o + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - -3.03. Let t = 26.5 - 20. Let x = t - 7. Sort 4, u, x in decreasing order.\nAnswer: 4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*g + 189*u - 194*u, -2*g = 5*u - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - w**4 - 6*w + 2 - w**4 to b*w + n + k*w**4 + q*w**3 + r*w**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1367 divided by -15\nAnswer: -1367\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*r**3 - 2*l**3*r**2*y**2 + 3*l**3*r*y**2 - 16*l**3*r - l*r**3*y**2 + 23*l*r**3 - 2*l*y wrt r.\nAnswer: 18*l**3 - 6*l*y**2 + 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1830 divided by -3\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1199.\nAnswer: 5\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0520168 + -0.052. Round j to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a6 (base 16) to base 14\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -136, -135, -134, -133, -132?\n\"Answer: q - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27.9536 * -10\nAnswer: -279.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2567981 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4 + 9 = 0. What is the remainder when 58\/4*(-4)\/(-2) is divided by 10\/s + (8 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3758 (base 11) to base 10.\nAnswer: -4903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 254? (a) -2\/9 (b) 105 (c) 204 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {d: 1, k: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 1, 5 in decreasing order.\nAnswer: 98, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + -2 + sqrt(99))**2 + -3 - (sqrt(99) + sqrt(99) + -3 + 0 - ((1*(sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-3))) + sqrt(99))**2 - sqrt(99))).\nAnswer: 27*sqrt(11) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + (-11 - (-41 - -26))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337205 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 14 + 15\/(-1). Let b(p) = -p**2 + 0 + 6*p - 4 - 1 - 1. Calculate b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -2301332303?\nAnswer: -2301332211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4028 + 88639\/22. Calculate the common denominator of -4 - ((-8604)\/324 + 40\/18 + -2) and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 1) + 88 + -116. Which is the smallest value? (a) o (b) -9 (c) -0.1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.65 + 1.01. Let a = w - -0.44. Which is bigger: 83 or a?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38041.9 and -0.02.\nAnswer: 38041.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -2*b**3\/3 - 4*b**2 - 8*b + 5. Factor p(s).\nAnswer: -2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -25.3. Let l = f + -0.1. Put -4, -3, l in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-108))\/((-1)\/(-9)). Solve 5*i - f*b = 13, -4*i + 5*b = -25 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 - 65*w**4 + 703*w**3 + 2581*w**2 - 11720*w + 8500 = 0. What is w?\nAnswer: -5, 1, 2, 17, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from {m: 2, v: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -i + 4*a, 213*a - 207*a + 12 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*a**3 - 2*a**2 + 7*a**3 - 15 + 25 as s*a + j*a**2 + p*a**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*n - 5102 = -5*q, q - 4*n = 1689. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/(-11)*(4\/(-30))\/((-82)\/246)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose x*v - 14 = -2*f, -2*v + 4 = -2*f - 2. Suppose 2*y = 3*l + 6, -9 = -3*l - f*l - 3*y. Solve -3*o - 3 = 4*n + 9, -4*n - 5*o - 12 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2265 (base 8) to base 15.\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxzxzzxzx. What is prob of sequence zx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 0. Let u = -6 - p. Suppose 4*c - 15 - u = 0. Calculate the highest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-20)*(1003584\/4128 - 243).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4634 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 41) + 1 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11833, 0.5, 2\/11, 18, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25649909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 108*g. Let h(z) = 163*z. Let m(b) = 2*h(b) - 3*l(b). Let q(p) = -5*p**2 + 17*p + 3. Give m(q(n)).\nAnswer: -10*n**2 + 34*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**7\/210 - x**6\/120 - x**5\/60 + x**4\/24 + 2*x**2 - 4. Let c(y) be the second derivative of t(y). Factor c(s).\nAnswer: s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2076 and 2057316?\nAnswer: 2057316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.863506m to millimeters.\nAnswer: 8863.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 151.9?\nAnswer: -303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**2 - 21*i**2 + 45*i**2 + 14*i**2 + 33*i**2. Let v(q) = -57*q**2. Determine 5*r(w) + 7*v(w).\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 167*c**2 - 9358*c + 335. Determine a(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 1601*q**8\/336 - q**5\/60 - 187*q**3\/3 + 23*q**2 + 42. Find the third derivative of t(j) wrt j.\nAnswer: 96060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z - 9. Suppose 0 = -112*l + 91*l + 168. What is the remainder when c(4) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/324)\/((-6)\/(-4))*4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1 - sqrt(176)) + 5)**2 + -4 + 0 - (((sqrt(99) + -1*sqrt(99) + sqrt(99))*-2)**2 - sqrt(99) - sqrt(99))*-2*6.\nAnswer: -72*sqrt(11) + 4764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 64, -9, -14, 32 in descending order.\nAnswer: 64, 32, 1, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 289934598*r + 647996353?\nAnswer: 289934598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/38)\/((-6)\/(-16)). Suppose 2*z = 4*c + z + 9, -13 = -2*c - 3*z. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*o + 15, 2*u - 15 = -0*o + 3*o. Let i be (2 + 0)\/((-4)\/10). Let f = i + 7. Is u < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 162*v**7\/7 - 4*v**5\/5 + 1972*v**3\/3 + 943. What is the third derivative of o(x) wrt x?\nAnswer: 19440*x**3 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 385*b**2 + 6*b + 3. Calculate p(-1).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**9\/189 - v**8\/168 + v**7\/504 - 13*v**4\/6 - v. Let c(f) be the third derivative of r(f). Factor c(o).\nAnswer: 5*o**2*(4*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -6.289.\nAnswer: -11.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 0, -62 in decreasing order.\nAnswer: 0, -62, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:57 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229898760 and 728?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 11 = 1. Is 32 a factor of -3 + (91 - (-1 + q))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)\/(g\/(g**(1\/8)*g)))**(-2\/37) assuming g is positive.\nAnswer: g**(15\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.572707 hours?\nAnswer: 12861.7452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 135 = v. Suppose 6 = 3*z - w - 9, 0 = 4*w - 12. Does 6 divide z*12\/v*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-6)\/99)*-68. Suppose 0 = -5*y + 12 + 3. Suppose y*o = -8*o + s. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + -2))**2 - -1*(sqrt(1573)*2)**2.\nAnswer: -1584*sqrt(13) + 63064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35771042?\nAnswer: 2, 47, 79, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1426224 - -14?\nAnswer: 1426240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1699, -3729, -6081, -8749, -11727, -15009, -18589, -22461?\nAnswer: -26619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - -3) + -3 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11483365*-1.4\nAnswer: -16076711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12336788 or -12336787?\nAnswer: -12336787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {y: 1, h: 2, s: 1, t: 1, i: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*y - 20, q - 3328*y + 3323*y + 18 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-12) + 15\/6 + -3. Factor -156*s**2 - 121*s + s**3 + 7*s + g*s**3 - 46*s.\nAnswer: 4*s*(s - 40)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 115\/1) + 3. What is the common denominator of ((-5)\/s)\/(-1 + (-132)\/(-136)) and 87\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) -3\/4 (c) -0.4 (d) -1\/8 (e) -0.1 (f) 1\/72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdhjpppppjpjppjpjp. Give prob of picking 2 p.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*p = -p + 82499991, -2*y - 5*p = -32999985. What is y rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*c - 63 = 808*c - 2*w, -c - 5*w + 31 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(6\/23)\/(a**(1\/3)\/a**(-9)) assuming a is positive.\nAnswer: a**(-638\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 11410953.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 4*s. Let o be j(-3). Let w be (-2 + 0)\/((-10)\/o). What is the smallest value in -5, w, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 + 1. Let c(q) = 4*q**3 + q**2 - 2*q + 3. Let j(z) = -c(z) + 2*g(z). What is j(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*5\/(-20))\/((50\/10)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*a + 60, -2*a = 5*d + 95596 - 95566 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 44*n**3 - 45*n**3 + 63*n**2 + 2*n - 4*n to c + z*n**2 + r*n + b*n**3 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2116*t - 4249*t - 48*t**2 + 2135*t.\nAnswer: -48*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*n + 10. Suppose -n*u = -10 - 5. Suppose -u*o = -11 + 1. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -1 - (-3)\/4932*14772\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2174*i**3 + 1539*i**2 - 92175818*i.\nAnswer: -13044*i + 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 6. Give x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -238759 and 1.1.\nAnswer: -238757.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 0.5, 5, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1689, 1687, 1685?\n\"Answer: -2*d + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8.3. What is the third smallest value in 6\/11, s, 9, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 15*d. Let i be a(15). Let t(x) be the second derivative of i + 4*x**2 - 3*x + 7\/6*x**3. Find the first derivative of t(f) wrt f.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 4. Let t(l) = -5*l - 5. Let k(p) = -4*o(p) - 3*t(p). Let q(r) = 2*r**3 - 6*r - 3. What is -6*k(h) + q(h)?\nAnswer: 2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 213 = 207. What is the nearest to 0.2 in -4, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**2 - 6*t + 6. Let n(x) = -x**2 - x + 1. Let d(m) = -f(m) + 6*n(m). Let z(a) = -2*a. What is z(d(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*q = 168 + 1812 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 6\/4)*66\/99. Let m = -299\/7 + 43. Let c = 1 + -0.9. What is the nearest to c in m, 3\/7, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1746110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106750146, -213500287, -320250428?\nAnswer: -427000569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7011898 is divided by 2450.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2085*j**3 - 729741*j**2 - 63849975*j + 275625.\nAnswer: -3*(j + 175)**2*(695*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -6, -2, -3022, -1, 2 in increasing order.\nAnswer: -3022, -6, -2, -1, 2, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(132)\/sqrt(3)*4)**2.\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0490079 + -3?\nAnswer: -2.9509921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -260*f - 8343. Let o(r) = 153*r + 5006. What is -17*o(z) - 10*s(z)?\nAnswer: -z - 1672","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 - -259. Let s(t) = -t - 4. Calculate s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-16 + (-1 + 3 - (-6 + 19 - 22))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 0.3644791?\nAnswer: -6.9251029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 - 4*z - 310. Give v(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 6*j + 2. Let a(l) = -3*l + 4. Let t = 94 + -97. Let n(g) = -g**2 - 2*g + 5. Let x(y) = t*a(y) + 2*n(y). Give 4*r(u) + 5*x(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -26*q + 21*q. Suppose -5*i = -5*c + 25, -q*i + 4*i = 0. Solve -z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133203 (base 8) in base 15?\nAnswer: 1bc313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1 + 43*k**2 + 12*k**2 + 2 + 0. What is the tens digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -237, -285, -365, -477, -621, -797, -1005?\n\"Answer: -16*m**2 - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:22 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 310 = -a. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403131 (base 5) to base 16\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Let g = q + -1. Let z = -8 + 12. Calculate the remainder when z is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*((-280)\/(-63))\/8)\/(14\/28).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57868, 115693, 173478, 231217, 288904, 346533, 404098, 461593?\n\"Answer: -y**3 - 14*y**2 + 57874*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08129 + 0.01871. What is the closest to 4 in 0.4, 8\/3, -1\/10, t?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/5 + 6 - (-7)\/(-45).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/6 - n**3\/6 + n**2. Does 3 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 31*w - 21. Determine n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55917329 to the nearest integer?\nAnswer: 7478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydg when three letters picked without replacement from ffayaddmfaydggg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/4 - y**3\/3 - y**2 + 2*y. Let o = 4317 - 4315. Give w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1068 - -1067.7852. Let d = 0.22 + f. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 13 (b) 4 (c) -0.4 (d) -0.102 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715 divided by -1?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iew. Give prob of sequence ie.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11872 = -5*f - 0*f, 0 = -f - 2*y + 2377. Calculate the highest common divisor of f and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184) + (sqrt(5184) - 2*(sqrt(5184) - -2*sqrt(5184))) - -1*sqrt(5184)*1)\/(sqrt(108)\/sqrt(36) + (sqrt(12) - (sqrt(12) - sqrt(24)\/sqrt(2)))*-6).\nAnswer: 72*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:43 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 2478, 5615, 10018, 15687, 22622?\nAnswer: 30823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 6. Let p be f(-2). Let b be ((-5)\/(10\/p))\/(-2). Let d(v) = 9*v**2 - v. Calculate d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 0*f + f + (-70 - 1 - 57)*(4*f + 0*f - 9*f) + 2*f - 2*f - f.\nAnswer: 641*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 4. Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58053 * 5\nAnswer: 290265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -h. Suppose 3 = 4*o - 1, -4*d = 3*o + 5. Let b = d + h. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 + 0.34. Let c = 0.13000028 - p. What is c rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639571635 to the nearest integer?\nAnswer: 25290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28749 is divided by 9327.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105521 (base 13) in base 6?\nAnswer: 12113502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138988465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 473372 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:43 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 2*i**2 + i - 2. Let d be q(-3). Solve 1 - 4 = 3*c, 0 = -d*h - 3*c - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/297)\/(3\/(-6) + 0).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 29 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 + 5*u**2 + 11*u**2 + 8*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29527\/48258 + -2\/2681. Calculate the common denominator of 91\/108 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 74. Find the second derivative of 4*s**2 + 8*s + 30*s + 7*s + i*s wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*n, 0 = 2*n - 6*y + 4*y. Solve -4*b - 5*h + 10 = 0, -4*b - 2*h = -4 - n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 344*c - 340.\nAnswer: -4*(c - 85)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 + n + 877. Is s(0) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 924*h**2 + 3 + 4968*h**2 + 2 to x + u*h**2 + k*h and give u.\nAnswer: 5892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 96. Let p be u(-25). Factor 30*s**4 - 3*s**3 - 39*s + 43*s - p*s**4.\nAnswer: s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 34?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2148 and 10749308.\nAnswer: 32247924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -184779 - 1.61?\nAnswer: -184780.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 2*d. Let w(m) be the third derivative of -5*m**2 + 0*m - 5\/6*m**3 + 1\/12*m**4 + d. Differentiate w(r) with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331303 + 3440?\nAnswer: -322313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/15 - 109*l**5\/35 - 800*l**4\/21 + 512*l**3\/7 + l - 2801. Factor n(v).\nAnswer: -2*v*(v + 16)**2*(7*v - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 s when four letters picked without replacement from mmmsemessms.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4724 + 4724.5. Which is the fourth smallest value? (a) 0.3 (b) 0.03 (c) -0.3 (d) f (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751900609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 69*b**2 - b + 1. What is the remainder when t(1) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3987.1819 and 11.7.\nAnswer: -3975.4819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 0.3, -64, 673, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -20*4\/(-8). Let w(s) = 3*s - 7. What is w(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.81 + -148.79. Let v = -9.6 - b. Let o = 149.44 - v. What is o rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 + 3 - 7)*(13*w**3 + 8*w**3 - 4*w**3)*(-16*w - 175 + 175).\nAnswer: 2448*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29737181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1481931 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 31*n**2 + 219*n + 123. What is the least common multiple of v(37) and 282?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 13. Let u be b(-5). Suppose -5070 = -u*w - 4*w. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-t - 5 + 5) + (-1 + 5 - 2)*(-2*t - 2*t - t) - t + 3*t - 3*t in the form l*t + x and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 9*g**2 + 18*g + 29. Give d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j. Let k be (1 - -1)\/((-8)\/12). Suppose 31 = 6*f - 41. What is the remainder when z(k) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41230446 - 18?\nAnswer: 41230427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = 0, 5*o + 5 = 4*a - 0. Solve 4*g - l + 26 = l, 2*g + o*l - 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68313\/13 - 5255. Which is the second biggest value? (a) 0 (b) v (c) -61 (d) 0.4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -q + 8, 321*r = 322*r + 4*q - 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 11*c - 55 = 0, 6*s = 5*s + 2*c - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 397 = 32. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)*(-3 + -7). Let l be ((-4)\/66)\/(c\/(-745)). Let h = -13\/3 - l. What is the closest to 0.1 in 0.1, 0.4, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 0, -4, 236, -3 in descending order.\nAnswer: 236, 21, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6938844 is divided by 3469391?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + -33. Let h = i - -102. Let n(b) = h + 2*b - 29. Let s(m) = 6*m. Give s(n(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539 times 3?\nAnswer: 4617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/69)\/(3468\/39882)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/12 - (3 + -2). Let v(l) = -l + d + 4*l - 4*l + 2*l - 6*l. Calculate v(-9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**2*j**3 + 2*d**2*j + d**2 - 82070*d*j**3 + 43*d*j**2 - 2*j**2 - 40*j wrt j.\nAnswer: -42*d**2 - 492420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 4*h**2 - 4*h + 4. Determine n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31520*p**4 - 100*p**2 - 30 wrt p.\nAnswer: 756480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -17*b**5\/60 + b**4\/6 + 2*b**2 - 2746. Let u(z) be the third derivative of z**4\/24 - 4*z**2. Calculate u(x(i)).\nAnswer: -17*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 3*y - 1. Let s be o(4). Let x(p) = -p**3 - 4*p**2 - 6*p - 2. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12288.78 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28375.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4383 + -17531\/4. Which is the fourth smallest value? (a) -1\/6 (b) 0.07 (c) 0.4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*r + 2140 = -79*r + 27*r - 11068 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173 and 33216?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23315364 to the power of 1\/2, to the nearest integer?\nAnswer: 4829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 0, 25, 72, 147?\n\"Answer: f**3 + 2*f**2 - 4*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11232*f**2 - 31038*f**2 + 90662*f**2 + 88153*f**2 + 38368*f**2.\nAnswer: 174913*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 10*i**4 + 18*i**3 - 14*i**2 + 4*i = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -958 - -6714\/7. Let -10\/7*l - s*l**2 - 4\/7 - 2\/7*l**3 = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 43828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-8 + 2)\/(-3). Let r be (-28)\/(-42)*2*x\/4. Let w be 0*(-2)\/2 + 3. What is the closest to r in w, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1537202144499.\nAnswer: 1537202144494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**13*b*b**(-3\/7)\/b*b**(6\/5) assuming b is positive.\nAnswer: b**(991\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**3 - f - 1. Let w be t(-1). Suppose -27*n + 256 = -59*n. Is n at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -26. Suppose i = -2*s + 14, -5*s + 0*s + 10 = 0. Suppose -3*t = -d + k, 2*t = 7*t + i. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401 a factor of 886810834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6297093 divided by -572463?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 22 + 10 - z**2 + 16. Let r = -15 + 11. Determine b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 3. Let i be o(-2). Suppose -11 = 5*n + i. Let l = 9 - n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 12285 = -49*r. Does 7 divide (-4 - (-28)\/(-7)) + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -0.54, -2\/5, 45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 2. Let d(i) = i + 0 + 7*i - 6 + i. Calculate 6*d(y) + 17*v(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 - 2*c + 2. Let a be t(-3). Let d be (a - (-2)\/4)*0. Solve -4*i + d*i = -2*u, -i = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(-78)*3*-14. Solve 0 = -4*x - 27 + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (606 - 607)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15\/44)\/(6\/20) and 29\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903435 < 903431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2. Let d(w) = -w. Let l(b) = 3*b**2 - 3*b. Let h(m) = -3*d(m) + l(m). Give h(x(q)).\nAnswer: 147*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 8. Let w be s(6). Suppose -3*k - 5*z + w = -0, 2*k = -4*z + 8. Let j = -355 - -362. What is the lowest common multiple of k and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p + 7. Let f be m(7). Let r = 21 + f. Suppose 5*x - 886 = 59. What is the greatest common factor of x and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16086549019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -3 - (-152 - -152)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 3002 = 3056 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 41 = -4*m, m - f - 3 - 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2346, -2 in decreasing order.\nAnswer: 1, -2, -2346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let a(c) be the first derivative of -121*c**2 + 32*c**2 + 19*c**2 + 100 + 17*c**2. Calculate a(t(l)).\nAnswer: -212*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-78)\/(-12))\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00803064 rounded to 4 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*h - 4*h**3 + 14*h + (-4*h + 2*h + 4*h)*(-49*h**2 - 28*h**2 - 14*h**2) + 2*h**3 + 0*h + 0*h.\nAnswer: -184*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 100210101202?\nAnswer: 100210101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scxsxxkxcxxcckcccx. Give prob of sequence ksck.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1305871*h**4 + 1036684*h wrt h?\nAnswer: -15670452*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k + 20. Let r(a) = -26*a + 60. Let t(b) = -5*r(b) + 14*w(b). Let x be t(6). Solve 0 = -x*n + 8 + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -2*v**2 - 1\/6*v**3 + 0*v + 0. Let u(f) = -f - 4. Determine -6*n(r) + u(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 - g**3\/6 - 3*g. Give t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-6) - 2\/6. Let z = 12 - q. What is the second derivative of -2*w**z + 5*w + w**5 + 2*w**4 - 3*w wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2. Let i be c(4). Let w be (16\/(-12))\/(28\/i). Factor -2\/7*r + 2\/7*r**3 - 2\/7*r**4 + 0 + w*r**2.\nAnswer: -2*r*(r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose i + m*z - 5 = 6, -2*i - 4*z = -16. Differentiate 1 + 8*v**2 + 0*v**2 - 4*v**i with respect to v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**2 - 78 - 7\/2*w.\nAnswer: (w - 26)*(w + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -1\/2, 1\/2, -0.1, 2, 1\/5, 27675\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:02 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 98\/1485 and 59\/45.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -2\/548473?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l. Solve l = 2*t - v + 7, 4*t - v = 3*v - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1096552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m + 14. List the prime factors of o(-9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/16)*r)*r*((r**(-9)*r)\/r)\/r)**(4\/15) assuming r is positive.\nAnswer: r**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 34 + 8*n**4)*(121 - 70*n - 121)*(0 - 1 + 2).\nAnswer: -560*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 126\/11, -3\/5, 2291 in descending order.\nAnswer: 2291, 126\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Let u(n) = -1 - 1 + 3*n - 1. Is u(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a2 + -2412?\nAnswer: -25b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -310 + 34407?\nAnswer: 34087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 272, 19\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1 - 2. Let x = -3 + b. Suppose 4*k = 2*k. What is the closest to k in -2\/11, x, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -t, -2*v + 4*t = 7 + 3. Let u = v - 1. Suppose 4*z = -12, u*s - 73 = -3*z + 6*z. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-24)\/6*(-1)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 + 1 - 2 - 4*p**2)*(-1 + 2 + 1)*(13 + 2*p - 13)*(-p - 2*p + 4*p).\nAnswer: 8*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2103*j + 3563. Does 64 divide b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1493 - 1493.4. Sort -17, -4, y, 4 in descending order.\nAnswer: 4, y, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280460323 + 1713893023315\/6111. Let r be (2\/2037)\/(4\/(-9)). Let f = m - r. Find the common denominator of 101\/22 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u + 0*u + 10*u. Let v(d) be the second derivative of d**5\/12 + d**2\/2 - d. Let m(i) be the first derivative of v(i). Determine q(m(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162799 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/3)\/f))**(-1\/8))**(1\/17)*(f**(-1\/3)*f*f**(-1\/6)*f)\/(((f*f**(-2\/9))\/f)\/f*f**(1\/2)) assuming f is positive.\nAnswer: f**(337\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:43 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k - 7 - 3*k + 14. Let a = 0 - -4. Let r(p) = -14*p + 15. Let f(u) = -7*u + 8. Let g(m) = a*r(m) - 7*f(m). Calculate 11*g(l) - 6*y(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = q - 3. Let d be ((-1)\/2)\/(q\/16). Suppose 3*i = -d*i + 14500. Round i to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6363 and 3939?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - 7*p - 8. What is h(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -659b3?\nAnswer: 65998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**5 + 0*l**5 - 3*l**5)*(4 - 16 + 4) - 8*l**3 + 2*l**5 + 5*l + 15*l**3 - 2*l**4 - 6*l**3.\nAnswer: 10*l**5 - 2*l**4 + l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 27. Let k(h) = -h**3 + 9*h**2 + 3*h - 3. Is k(q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.725235, 0.2, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34771521 divided by 3?\nAnswer: 11590507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -23\/6 (b) 1 (c) -7 (d) -1 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 28149?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 24*w = 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(88)*1 - (sqrt(88) + -3*-1*sqrt(88)))\/(sqrt(72)\/(sqrt(81)\/sqrt(144))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t - 2. Let u be p(-5). Let q(n) = n**2 + 22*n + 5. Let m be q(u). Solve -m = -3*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 34.3. Which is the second biggest value? (a) 7 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-966)\/7889*(-140)\/16)\/((-2)\/4)\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15912)\/60)\/221)\/(4\/170)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*k + 3*w, -2*k = 12*w - 15*w - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -7*s - 27. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 2*m**2 - 5. Let q be w(3). Suppose 688 = -q*l + 692. Solve r - 4 = -l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 + 149. Put -0.7, 5, y, -2 in decreasing order.\nAnswer: 5, -0.7, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + d + 13, 35*d - 31*d = -m - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssaskfkrakkafaffkkk. What is prob of sequence akka?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (73 - 55)\/(3\/2 + 0). What is the highest common divisor of s and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-3)\/105*-3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50759\/37398 + -10\/813. Let o = 3\/23 - z. What is the biggest value in o, -0.2, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*42\/3. Let y(s) = 2771428*s + 4. Let x be y(k). What is x rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 7 - 19. Suppose n*h + k = -12, 2*k = 2*h - 3*h - 10. Is 2 a factor of (h - -2) + 3 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7836 by 3918.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*y**4 + 4*y**2 - 2*y + 59*y**4 + 64*y**4 - 2*y**3 - 2*y**2 + 86 + 70*y**4 as q*y**2 + z*y**3 + c*y**4 + p*y + r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5345 and 123\/129920.\nAnswer: 138884480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 less than 22740?\nAnswer: 22318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.9 plus 7857688760?\nAnswer: 7857688820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 972*g**3 + 5*g - 4. Is 11 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, v: 1, x: 1, u: 2, j: 1}. Give prob of sequence xvn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2 - 4\/(-1)). Let y be (-3 - (-3 + 5))*m. Suppose 0*l + 10 = 2*l, y*w - 3*l = 0. Which is the closest to -2\/5? (a) -2 (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -4.32\nAnswer: 8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = -2*f, f + 4 = -2*l - f. Suppose l = -n + 2*c + 95, 2*n + c = -2*c + 155. What is the greatest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1090 - -1338.5. Let z = 352 - i. What is z rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 + -259. Let t = -69 - -484\/7. What is the nearest to c in t, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - 4*v)*(91*v - 259 + 260 - 37*v).\nAnswer: -216*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -0.2, -162, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 18*l - 10. Let s be n(1). Solve 1 = 3*d - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5)\/(66\/(-19415)). Let y = -26573\/228 - c. Find the common denominator of y and 131\/190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*c = -1923 - 1569 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 43 (b) 0 (c) 3 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let k = -0.1 + -1.9. Let z = 623.9 - 624. Which is the nearest to z? (a) k (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*q + 53 = 0, 0 = 5*f - 2*q + 67 + 106. Let p = f - -144. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2202*u = -5*q - 2198*u - 21, 3*q + 23 = -8*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i**4 - 13*i**3 - 36?\nAnswer: -16*i**3 - 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 26)\/5 - -22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 1. Let r(c) = -6*c - 2. Suppose -2*p + 320 = 310. Give p*t(w) - 3*r(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 11*t + 30. Let p be n(12). What is the derivative of -41*d**4 + p + 494*d - 494*d + 10*d**4 wrt d?\nAnswer: -124*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2249995 = -3*u - 2*d, -u = 4*d - 0*d - 749995. Suppose -4*y + 6*y - 5*l - 500005 = 0, -3*y = l - u. What is y rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17096357*n**4 + 38880170*n**2 wrt n.\nAnswer: -410312568*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 100 = -24*z. Suppose 0 = -3*c + 5*p - 9*p + 60, 0 = -c + 4*p + z. Solve 0 = g - 5*g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.13 + -0.13. Let s = 26 - 27. Let n be (5 + -5)\/(9 + -8 + 6). Which is the nearest to n? (a) s (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:46 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5609 and -125\/252.\nAnswer: 1413468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2091*s = 603 - 4785 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 6, k: 3, z: 1}. Give prob of sequence ckz.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45332563.6 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + r = -4689, 41*q - 9360 = 35*q + 4*r. Calculate the highest common divisor of 116 and q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let p(x) be the first derivative of 3*x**3 + 7 + 10*x**3 - 19*x**3 - 4. Calculate k(p(a)).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.1 (b) -1.5 (c) -1\/17 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3\/1225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -862, -2\/11, -2.\nAnswer: -862, -2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)*j*j)\/(((j*j**(6\/11)*j)\/j)\/j)*(j**0\/j*j)\/j**(7\/5)*(j**(-6)\/(j*j**(-6)))**(-2\/9) assuming j is positive.\nAnswer: j**(434\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 165, -4, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 689864000 to the nearest 1000000.\nAnswer: 690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*0\/(-3). Let k = -44.2 + 44. Which is the biggest value? (a) k (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/2 - 8*d**3\/3 + d**2 + 13*d + 986. Let g(a) = -a**2 + 3*a + 3. Let b be g(5). Is c(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324672 and 1554048.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75d - -3?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(72)) + (-2*(4*sqrt(72) + sqrt(72)))**2)*3.\nAnswer: 18*sqrt(2) + 21594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 3*q)*(-30*q + 49*q + 85*q).\nAnswer: 104*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17.63 times -0.077\nAnswer: 1.35751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 347*l = 345*l - 27610, 2*l = -3*o + 41415. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1021*f**2 + f**3 - 7*f**4 + 559*f**5 - 1139*f**5 + 518*f**5 wrt f?\nAnswer: -3720*f**2 - 168*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5273737, -10547516, -15821309, -21095122, -26368961, -31642832, -36916741?\nAnswer: -42190694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1016 and 35068764.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Suppose -2*b - 3*b - 3*p = 12, -2*b + p = -4. Let j be 3 + 12\/(-5) + b. Sort -1, j, u.\nAnswer: -1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11947)\/1838)\/(13*(-5)\/490).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**2*p**3 - 4*n**2*p**2 - 162159*n**2*p + 64*n*p**3 - 63*n*p**2 + 2*n*p + 188*n + 7*p**3 wrt n.\nAnswer: 14*p**3 - 8*p**2 - 324318*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v**2)*(-2 + 2*v + 2) - v**3 - 2*v**3 + v**3 + (-4*v**2 - 2*v**2 + v**2)*(6*v + 5 - 5).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = r - 3*b, -r + 19*b - 53 = 22*b. Let i = r - -51. Solve 0 = -4*z - 7 - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -217*z. Let n(g) = -31*g**2 - g. What is v(n(u))?\nAnswer: 6727*u**2 + 217*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from peppzzyepzypppp.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 31. Let w(j) = -j**3 + 13*j**2 + 62*j - 7. Let v be w(-4). Give m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41736497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1545686574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -77. Let n = i + 64. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324639928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) 14 (c) 2 (d) -5 (e) -109\/4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3)*2 - 4*-4. Let y be (-630)\/(-147) - (-1 - (-18)\/z). Which is the third smallest value? (a) 1\/5 (b) y (c) 0.1 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -528 + 751. Let l = -211 + x. Let b = 11 + -7. What is the highest common divisor of l and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - k - 0*k + 4, 2*k - 8 = 2*r. Suppose r = -7*x + 18*x - 3399. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46398 divided by -3.\nAnswer: 15466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*i - 2 = 4*a, 4 = 5*a - 3*i. Let s(t) = 0*t**2 + 6*t - 1 - 6*t**3 + 2*t**3 + 3*t**3 + 6*t**a. What are the prime factors of s(6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2504\/(-4382) + 3\/21*-17*1. Let j(n) = -n**2 + n + 4. Let u(q) = 2*q**2 - 2*q - 7. Let l be (-3 - -13)*(-3)\/6. Calculate l*j(w) + x*u(w).\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {j: 6, a: 1, g: 5, k: 1, m: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - -2.6. Let l = j + -5. Which is the closest to 0.1? (a) l (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n - 11*n - 29*n + 67*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*(-9)\/((-243)\/(-21)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -70)\/(-4) - 8\/(-2). Let n(j) = -7*j + 1. Let i be n(1). Let k = r + i. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r + r + (2 + 1 - 1)*(0*r - 3*r + r) + (-35 - 16 - 12)*(-r + 0*r + 2*r) as f + q*r and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 706492305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -115994268 divided by 19332378?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (123 - 6) + (-4 - -1). Suppose -s - 206 = -4*i. Let x = -23 + 33. Calculate the greatest common factor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-1 + 4 + -23 + 10)) + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 - 651. Let w(v) = -v**2 - 6*v - 3. What is w(j)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 221068703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4798276?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 109?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6329 or 86993?\nAnswer: 6329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16335.59 millilitres?\nAnswer: 16.33559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-955)\/55 + 3 + 14?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 694007181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -20. Suppose -m + 4*h = -0*m + 14, -2*m = -5*h + g. Solve m*z + 25 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2731 is divided by 863.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:36 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k**(-2))\/k*k))**(2\/27) assuming k is positive.\nAnswer: k**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + 57\/(-21). Let l be (k\/(-14))\/((-1)\/2). Suppose -3*m - 20 = -7*m. Sort m, -2, l in decreasing order.\nAnswer: m, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72412530*f**2 + 903163*f - 101?\nAnswer: -144825060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -4*u - 22*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 28 = 2*p + b, 5*b - 23 = -p. Suppose -27 = 205*l - 202*l. Let i = p + l. What is the remainder when 9 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 118162824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**6 + 718051*o**4 - 209*o**2 + 2318*o.\nAnswer: -360*o**3 + 17233224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150? (a) 2\/5 (b) 1\/19 (c) 3 (d) 22 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 790859302 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s)**(-11\/2) assuming s is positive.\nAnswer: s**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:37 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10679 take away 17076666?\nAnswer: -17065987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 21474540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**3\/2 + 12*a**2 + a. Let j(f) = f**2 - 41*f - 564. Let i be j(52). Let u be x(i). Is u less than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:58 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 4. Let p be s(-2). Solve 0 = -p*a + 13 - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from sufnuusnsnffsssnn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*k + z + 5, -3*z + 5 = k. Let h(f) = -7*f**3 + 5 + 3*f**k + 2*f - 4*f**2 - 6. Suppose 0 = 2*r - 3 + 1. Determine h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-1)\/2*-4. Let u = m + -11. Suppose -s + 3 = -1, -2*s - 576 = -u*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 x(q) = 44*q**2 + 53*q + 42. Suppose 0 = d + 5 - 23. Calculate the lowest common multiple of d and x(-1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaar.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33*y**3 + 14*y + 7. Let c(b) = -17*b**3 - 7*b - 3. Let w(s) = -7*c(s) - 3*h(s). Find the second derivative of w(f) wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627086?\nAnswer: 2, 3, 271181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -640*y**2 + 177*y. Let z(h) = -642*h**2 + 181*h. Let m(c) = 5*g(c) - 4*z(c). What is the second derivative of m(i) wrt i?\nAnswer: -1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*w - 656*w - 29700 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 30 = 56*m + 335 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 52*s. Let l(y) = -65495*y**2. Calculate l(z(f)).\nAnswer: -177098480*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8771328*u**5 - 5209920*u**4 - 393552*u**3 - 10556*u**2 - 96*u.\nAnswer: -4*u*(36*u + 1)**3*(47*u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4517757.2400447 - 4517761.7. Let f = -4.46 - l. Round f to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-341))\/(1\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77204555 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + 7904\/1568*-7)\/((4\/(-7))\/(-4)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-21 - -13 - -3) + 45 - 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/2520 - t**6\/144 + t**5\/120 - t**4\/6 + t. Let c(a) be the third derivative of s(a). What is c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -5, -17, 10, -32 in descending order.\nAnswer: 65, 10, -5, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 2, l: 4, e: 4, i: 2}. What is prob of sequence iyyc?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 15*z - z**3 - 41*z + 14*z + 2*z**4 + 3*z**2 to the form q*z + s + c*z**3 + i*z**4 + p*z**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*d + 74, -2*v + 24 + 14 = -5*d. List the prime factors of (-4)\/v + (-148)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -a9?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19571175 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19332035 = -2*l + 6867271. Suppose 2*n = 5*v - 29230268, -1515474 = n + v + l. Let r = n - -24615129. What is r rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-5 - -22)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from iixlhxiiiil.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 3*w + 232. Suppose -4*x = -0*x - w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219456740881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 9 + 0*w**2 - 1\/3*w**3 + 0*w. Let l(f) be the second derivative of -5*f**4\/12 - f. Calculate o(l(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-10) - 2\/5. Suppose z*y - 2*y = 4. Suppose 40 = -y*s + 4*s. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**5\/30 + l**4\/3 + l**3 + 6*l**2 - 8. Let w(d) be the second derivative of z(d). Factor w(a).\nAnswer: 2*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*k - 283*k = -591*k + 165 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 16 - 32. Find the third derivative of 0*g**p - 27*g**4 - 20*g**4 + 49*g**2 - g**4 wrt g.\nAnswer: -1152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/(-12))\/((-3)\/(-512)). Let k = 257 - i. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 7, b: 5}. What is prob of picking 2 v?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 + 8 - 3 + 13*y**2 + 9*y**6 wrt y.\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 7*j - 1 = 0. Let r be (-634 + 9)*(j + 1121). What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14518104 (base 9) to base 10.\nAnswer: 7216456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h - 1. What is f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8. Suppose i = -4*z + 8*z - 8. Suppose c - 42 = -2*c. Calculate the greatest common divisor of z and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 88*a - 169*a - 2*f = 13, -5*f + 25 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (4 + 21)\/(-5). Suppose -m*x = -23 + 5. Solve 2*a - 5 = 3*a, 2*o - a = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = -113. What is the remainder when i is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 2320.20706?\nAnswer: 2319.90706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2449810, -9799274, -22048382, -39197134, -61245530?\n\"Answer: -2449822*k**2 + 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from 18182512770.\nAnswer: 18182512768.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and 43\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u - 7. Suppose 4*i = 4*y + 32, 0 = 3*y + 2*i - 7*i + 32. Let l be p(y). Sort l, -1, 4 in ascending order.\nAnswer: -1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u + 14 + 3*u - 20 in the form z + n*u and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -638*z**4 - 548378*z**3\/9 + 92272*z**2\/3 + 271928*z\/9 + 1792\/3 = 0.\nAnswer: -96, -14\/29, -2\/99, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*(254\/88 - 3) and ((-21)\/6)\/(3 - 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 7889139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:40 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -886 - -889. Suppose 7*m + 17 = -k*t + 12*m, 0 = 4*t - m. Solve -6*r - t = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - 12\/(-7). Let a = -21038 - -21039. Solve -d + a = -k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.54 * -0.01897602.\nAnswer: -0.0102470508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:19 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 410441401403?\nAnswer: -410441401413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 12 = 5*y. Solve a - 6 = 2*t + 4, a = -t - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 78125 = 2*h, -74934 = -2*h - 4*u + 3196. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*2*-1. Suppose 339 = -l*f + 8*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-12)\/4*((-490)\/(-45))\/(-7). Let f(t) be the first derivative of 12 - p*t**2 - t**4 + 32\/9*t**3 + 8\/3*t. Factor f(o).\nAnswer: -4*(o - 1)**2*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 3*a, -5*z + a = -a + 4. Suppose -u - 3*u + 80 = z. Suppose -2*k = 4*r - u, 4*r - 6 = -0*k + 5*k. Solve 5*g - 1 - r = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 5\/2*k**4 + 2\/3*k**3 + 136*k + 0*k**2 - 103. Differentiate q(v) wrt v.\nAnswer: 30*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66 and -335.\nAnswer: 221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, -42, 3, -444 in increasing order.\nAnswer: -444, -42, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243010 * 11.\nAnswer: 2673110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, r: 6}. Give prob of sequence rmmm.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57, 112, 167, 222, 277, 332?\n\"Answer: 55*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 2*w. Let o(v) = 4*v**2 + 5*v. What is 9*m(x) + 4*o(x)?\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 - 6 = 0. Let a be (x\/(-2))\/(5\/(-20)). Let v be ((-6)\/8)\/(a\/8). Sort 0.3, -4, v in decreasing order.\nAnswer: v, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -569584 divided by -4\nAnswer: 142396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkooozlnkljkjo. What is prob of sequence lkl?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8812 + -6498. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 19*d + 11. Let c be v(-7). What are the prime factors of c\/6*2 + (-336)\/(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 59667 + 1347. Suppose 50*d - u = 23*d. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g. Let a(c) = 7*c + 6*c + 6*c - 20*c. Determine -12*a(s) - b(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 945.9365 litres?\nAnswer: 945936.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46816 divided by 14?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1077 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4 (c) -140441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let c(p) be the first derivative of p - 88 + 1\/2*p**2. Calculate c(m) - 3*u(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let u(x) = -11256*x**2 + 11. Give a(u(l)).\nAnswer: -33768*l**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33202 + -3?\nAnswer: 33155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujj when three letters picked without replacement from {y: 1, j: 7, u: 2, f: 1, i: 6}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let b be 3\/2*8\/a. Suppose 0 = s + b - 13. Calculate the least common multiple of s and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Suppose -2*r + 16 = -q*t, 9 = r + t - 7. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 76, 58, 26?\n\"Answer: -7*p**2 + 17*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vso when three letters picked without replacement from {o: 3, s: 1, m: 3, v: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 38. Suppose -25*j + 8 = -s*j. What is the remainder when 61 is divided by (-3)\/((-92)\/(-52) - j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:02 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -118. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 423 - 422. Let d(l) = -l**2 + 3*l + 14. Let r be d(5). Sort q, r, 10 in decreasing order.\nAnswer: 10, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/731, -0.2, -0.4 in increasing order.\nAnswer: -0.4, -0.2, -2\/731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219290529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 136*f - 1. Let x(l) = -4*l**2 + 8*l**2 - 4*l**2 + 2*l**2 + l**2. Give x(r(u)).\nAnswer: 55488*u**2 - 816*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 - 4*v + 2. Let i be d(5). Let y(k) = k**2 - 8*k + 10. Calculate the least common multiple of y(i) and 4\/3*(7 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12639*m**3*q*s**2 - 38*m**3*q - 48*m*q - 2*s wrt s.\nAnswer: 25278*m**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 102 + 402. Calculate the remainder when 377 is divided by k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26597651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 9*x - 4*w = 9, -x = -5*w - 27. Suppose 4*a + 342 = 2*l, -2*a + 473 = 2*l + l. What is the greatest common factor of x and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + 0.46. Let i = 11 + -10. Let h be (3\/9)\/(i\/(-3)). What is the nearest to h in 1\/4, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 15*n - 36.\nAnswer: -(n - 12)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18948417 + 31?\nAnswer: -18948396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 17 - 2, -145 = -b - 5*l. Suppose 14*o + b = -48. Let f(h) = h**2 + 9*h + 38. Let r be f(o). Is 74 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:50 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*o - 6*l + 8, 3*o + 4*l + 19 = 0. Let z(r) = 19*r**2 + 6*r + 6. Let k be z(o). Suppose 885 = 8*d - k. What are the prime factors of d?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 6. Suppose -3*c - 6 = 3*h, 5*c - 2*h = f*h + 35. Suppose -16 = 3*t - 7*t, -c*w - t + 34 = 0. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = -3*l. Suppose 4*b = 2*n - 80, 0 = 2*n + 3*b - l*b - 76. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24364595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1259 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5073.06 centuries in months?\nAnswer: 6087672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.2 - 70.2. Let q = -8.5 - -9. Which is the nearest to 0.3? (a) u (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17905\/4 - 4473. Sort d, 1.3, 5 in ascending order.\nAnswer: 1.3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478375, 478293, 478211, 478129, 478047?\nAnswer: 477965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, i: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339182 is divided by 493?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -3 + sqrt(128) + sqrt(242) + -3.\nAnswer: -6 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.969*25.\nAnswer: -3149.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b**2 + 93*b - 2. What is z(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 - 444838.07.\nAnswer: -444838.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + -100 + (0 - 33) + 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3.9. Let x = d - 1.1. Let a = 8 - 9. What is the biggest value in x, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 25*u**2 - 24*u - 34. Let m be o(26). Suppose -3*k = x + 8, -4*k - 4*x = -14 + 38. What is the tens digit of 53 + m\/(-3) + (-4 - k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-1)\/sqrt(2)*-4.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*o = 1160*o - 775*o + 1702 - 27143 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1747 - 75089\/27952. Find the common denominator of r and -123\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12928 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 11*a - 20. Let n be v(3). Solve 0 = n*d - 2*j, 0 = 3*d + 55*j - 60*j + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*d + 40 = -186*d - 374*b + 371*b, 3*d - 17*b - 70 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-134)\/10. Suppose -7*z + 2*z = 4*g - 88, -4*g + 4*z = -124. Let w = g - j. What is the lowest common multiple of w and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-7)\/((-14)\/(-4)). Let u(y) = y**3 - 2*y**2 + 3*y - 3. Let v be u(r). What is the second derivative of -5*s**v - 5*s - 6*s**3 + 7*s**3 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - h = -23, -m - 41 + 35 = -2*h. What is the lowest common multiple of 300 and m?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 78.9. Let i = o - -1.9. Let a = i - 8.77. Is a equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/8 - 265*r\/8 + 263\/4.\nAnswer: (r - 263)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159383, 92, -3.\nAnswer: -3, 92, 159383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12401339?\nAnswer: 1877, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkkmvkvtkvuvuk. Give prob of sequence mv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.5, 14, 1 in descending order.\nAnswer: 14, 1, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 44*i**3 + 790*i**2 + 6*i + 754. Determine q(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + d**3 - 6*d**3 - 5*d.\nAnswer: d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 2, i: 4, k: 2, b: 3}. Give prob of sequence llri.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -4 (c) 4 (d) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441673.\nAnswer: 101, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264882 - 158573. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:22 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -720 + 437. Let z = u + 280. Which is the biggest value? (a) -1\/2 (b) z (c) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*n**3 + 171*n**3 + 152*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*o - 304*o + 288*o - 558*o - 347*o to the form g + b*o and give b.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -38, 26, 90, 154?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 0 - (sqrt(18)\/sqrt(6) + -2).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 66*f - 67*f. Let d be f - (-4)\/(-8)*-12. Solve a - 2 = d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49951 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11090.4 - -0.30571\nAnswer: 11090.70571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 1\/7 (c) -42 (d) 0.7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - (45 + (77 - 94))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -26839778.\nAnswer: -26839778, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.125. Let i = -512453.8749898 + 512454. Let q = y + i. What is q rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 17 + 14 + 11*w.\nAnswer: 11*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Suppose -5*a - 2*g - 15 = 0, -2*a + f*g + 18 = 2*g. What is the second biggest value in 0, 5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67012.0668us to weeks.\nAnswer: 0.000000110800375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x - 200*x - 190565 + 191071 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 12*o**2 - 44*o - 13. Let j be w(15). What is the second derivative of -8*t + 44*t**j - 12*t**2 + 13*t - 42*t wrt t?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -734, -728, -720, -710?\n\"Answer: s**2 + 3*s - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-11*(2 - 5). Let u be (7 - 4 - 1)*(-3)\/(-2). Suppose -u*m + z = -2*m. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548277028 to the nearest integer?\nAnswer: 23415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14202 (base 5) to base 11\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11\/(y*y*((y\/(y*(y*y**(3\/8)\/y*y)\/y*y))\/y*y)\/y) assuming y is positive.\nAnswer: y**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16429 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 + 3. Let c(r) = 1. Let s(v) = 6*c(v) - x(v). Let g be s(0). Let a(y) = -y**3 + 0 - g*y**2 + 4 - 1 + 2*y**3 - 3*y. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 1, b: 3, g: 3, m: 3}. Give prob of picking 1 m, 1 b, 1 a, and 1 g.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.4, -1, 6, 4, 0.2 in ascending order.\nAnswer: -1, 0.2, 4, 4.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 28 - 54 + 1204*z + 56.\nAnswer: 1204*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/(-21))\/((-2)\/518)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 2*c + 1. Let o be d(-1). What is the highest common divisor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2817 + 2817.000010581. Round p to 7 dps.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -54, -192, -468, -930?\n\"Answer: -8*s**3 + 3*s**2 - s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043838 rounded to seven dps?\nAnswer: 0.0000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11609085, -11609099, -11609113?\nAnswer: -11609127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92850 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 10*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259474682 to the nearest integer?\nAnswer: 16108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -5*n**4\/24 - 4*n**2 + 2. Let j(z) = -z. Let b(y) = -12*j(y) + 3*l(y). Let o(x) = 6*x + 2*x - 2*x. Calculate o(b(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 131 = 3*m - 52, -2*r - 4*m + 130 = 0. Suppose -5*i = -2*i - r. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 2, f: 1, i: 2, c: 1}. Give prob of sequence tc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -5*s, 2*m + 5*s + 11 = 0. Does 14 divide m\/28 - 12111\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163091\/15 - -10877. Let r = -241\/60 + q. Suppose 0*z + 3\/4*z**2 + r*z**3 + 0 = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 113 = 7. Calculate the greatest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - z**2 + 4*z. Suppose 2*t = 9 - 7, -7 = 3*v - 4*t. Let s(w) = -w**2 + w. Give v*i(b) + 4*s(b).\nAnswer: b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -41*(0 + 1)*-1 is divided by (-92)\/(-6) + (245\/(-420) - (-6)\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1220 and 36?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.03 + -0.03. Let h = 0.5 + -8.5. Let d = 9 + h. What is the closest to d in -0.5, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5 - 165*f**4 - 159*f**3 + 165*f**2 + 162*f = 0. Calculate f.\nAnswer: -54, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/5, -2\/5, -27, 2\/17?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 21 = 5*u, -3*b - 3*u = -4*b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 38*b + 1129. Give t(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/3 - 331*i**4 - 89513*i**3\/3 - 1395451*i**2\/3 + 301996*i + 579964\/3 = 0 for i.\nAnswer: -49, -22, -2\/5, 1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0*n**2 - 2*n**2 + 5*n + n**2. Let u be (-1)\/(((-57)\/(-130))\/((-96)\/(-20)) - (-200)\/(-1300)). Let x(p) = 2*p**2 - 16*p. What is u*t(f) + 5*x(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 37 + -92 + (-55 - -46).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 976410, 976502, 976596, 976692, 976790, 976890?\n\"Answer: m**2 + 89*m + 976320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/3 + 8*y**3\/3 + y**2 - 26*y\/3 + 16\/3 = 0. Calculate y.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 504, 1139, 2198, 3681, 5588, 7919?\nAnswer: 10674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.01555 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g, 9*o - 4*o + 5*g + 330 = 0. Suppose m - 4835 + 4890 = -2*d, -3*m + d - 172 = 0. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108\/35 + 14\/5. What is the third smallest value in -0.3, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -28*n**2 + 2*n - 153. Let h(i) = -3*i**2 + 3*i - 1. Let u(g) = -18*h(g) + 2*j(g). Factor u(a).\nAnswer: -2*(a + 9)*(a + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210 + 20?\nAnswer: -100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -10\/299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38142 or -38139?\nAnswer: -38142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, -80, -204, -360, -554, -792?\n\"Answer: -j**3 - 7*j**2 - 70*j + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -9. Let g be (2\/2)\/(3 + n). Solve k + 0*k = -g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:50 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -202, -583, -1140?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 = 5*n, -4*n + 0*y + 36 = 2*y. Let j be (2 + 1\/1)\/1. Suppose -u - 6 = 5*c, 0 = n*u - j*u - 4*c + 144. What is u rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - 0.91. Let r = -1377 - -1506.3. Let i = r + -129. Which is the third smallest value? (a) -0.5 (b) 3 (c) i (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530 * 41.6981\nAnswer: -22099.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -480, -519, -560, -603, -648?\n\"Answer: -l**2 - 36*l - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7190\/95*(-21)\/(-6). Let u = h - 265. Which is the third smallest value? (a) u (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.11 (b) 8 (c) 36 (d) 1\/3 (e) 0.002 (f) -0.2 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ae8 - 0?\nAnswer: 5ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80907527 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 441\/343 - 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 4. Let m be i(-2). Solve 0 = 2*b + m*v - 10, -2*b - 2*v - 1 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3 + 94*x**2 + 1008*x - 64800 = 0.\nAnswer: -25, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1351840928 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-8))**(1\/8) assuming n is positive.\nAnswer: n**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -1887, 5 in decreasing order.\nAnswer: 5, 0, -7, -1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - -21.19. Let x = w + -20.755. Let d = -0.045 + x. What is the fourth smallest value in 1, -0.1, d, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 91*a**2 + 20*a - 194. Let n be r(23). Suppose 24190 = -2*y + 2*g, -4*y - n = -9*g + 10*g. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i + 13*i + 177*i.\nAnswer: 142*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-6) - (5 + -7))*0. Let x = -4\/9 + q. What is the closest to 0.1 in 2\/9, -1.6, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001010010 - 1?\nAnswer: 10010001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 144.94 and 3105929.\nAnswer: 3106073.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34ba80 + -2?\nAnswer: 34ba7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 7*u. Let f be o(-3). Let i = f + 144. Solve z = 5*r, r - 4*z - 22 = i*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, -0.2204?\nAnswer: -0.2204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 27 = 3*u, 27 = 3*u + 92*m - 88*m for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 4*q**3 - q**3 + 4*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (44175\/1305 + -35)*(-63)\/6?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 669 and 4650.\nAnswer: 1036950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5875 and -0.03421?\nAnswer: -200.98375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**6 + 0*b**2 + 26 + 1\/10*b**5 - 3\/14*b**7 - 2*b + 0*b**3 - 125\/6*b**4. Find the third derivative of w(r) wrt r.\nAnswer: -540*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 0*m**3 + 4 - 4*m**2 + m**3 - 7*m. Let o be g(7). Suppose -o*d - 13 = -49. Calculate the highest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-85 + 46 + 54)*(0 + x**2 + 0) + (-4 + 10 + 1)*(x + 0 + 0)*(-3*x + 4*x + 0*x) in the form y + w*x**2 + d*x and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-2\/5))**(-49))**28)**(-40) assuming x is positive.\nAnswer: x**131712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200273 (base 8) in base 12?\nAnswer: ba2937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 5*w = -100, -3*q + 4*w = 98. Let d = 32 + q. Solve 0 = d*z - z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2760?\nAnswer: -2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (-13 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - s - 3419 - s**2 + 2*s + 2*s.\nAnswer: -s**2 - 3*s - 3419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -3. Let d = -28.8 - -33. Let i = h - d. What is the second biggest value in i, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 314 + 9 = 0. Find the third derivative of 61*p + 26*p**4 - w*p - 6*p**2 + p**2 wrt p.\nAnswer: 624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -36*h - 208. What is u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 78 (b) -1 (c) 0.1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(13)*-5 + (1*sqrt(104))\/sqrt(8) + (-2 + sqrt(1300) + 0)**2 + 3.\nAnswer: -29*sqrt(13) + 1303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -146, -138, -118, -80, -18, 74?\n\"Answer: o**3 + o - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 + 323. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.01 + -0.01. Let p = -0.2841 - 0.0159. Let n = -1.3 + -3.7. What is the nearest to 0.2 in o, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-204)\/(-18)*(-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84.9 in 5\/14, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 - 4. Let i be j(-7). Let l be i*-58*18\/8. What is the common denominator of (-2)\/(-3)*l\/32 and -11\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6646 is divided by 206?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 5 + 10*a - 8*a. Let g be i(0). Suppose 15 = g*c, m - 22 = -c - c. Solve -5*b = -b - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4*x + 4. Give m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 137*n - 958. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3324 - -3302.304. Let l = -21.30694 - n. Let c = l + -0.39. Round c to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 445\/30 + (-1)\/(-6). Calculate the greatest common divisor of h and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**3 - 12926*r**2 - 10782*r + 2156.\nAnswer: 2*(r - 1078)*(r + 1)*(6*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 35, 111, 261, 509, 879?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q - 4. Let u be z(0). Let k be -15*(-5)\/((-25)\/u). Let c = -217 + 225. What is the highest common factor of k and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-5 - (34 + -11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.847423ng?\nAnswer: 0.000000000000847423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 7*v + 13 = -3*g, -5*g = 4*v + 50 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812 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: What is 264657 times 0.4?\nAnswer: 105862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-10)*r))\/r*r*r\/(r\/(r\/(((r*r**(-10\/3)*r*r*r)\/r)\/r))*r*r)*r*r)**(1\/42) assuming r is positive.\nAnswer: r**(37\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -0.2 (b) -0.5 (c) -14\/87 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 38 + u + 39)*(u**4 + u**4 - 3*u**4)*((-3 + 3 + 1)*(-1 - 2 + 7) - 41 + 81 - 47).\nAnswer: -6*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*b - 7, 4*i - 5*i = -3*b - 15. Solve i*w - 2*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/5 bigger than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7)*h**(-1\/7))\/((h*h*h**7)\/(h**(8\/5)\/h)))\/(h\/(h\/((h\/h**3)\/h)*h*h)*h**(2\/27)*h*(((h\/(h\/h**(2\/7)))\/h)\/h)**29) assuming h is positive.\nAnswer: h**(42482\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 346463*l. Let y(s) = -29*s. Determine q(y(f)).\nAnswer: -10047427*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 47\/4 of a second?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100322 (base 6) to base 16\nAnswer: d51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 49. Solve -12 = 3*p - r*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 1, p: 3, i: 3, e: 4, f: 3}. What is prob of picking 2 f and 1 i?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -407 - -397.85. Let s = 9 + n. Let b = 0.1522 + s. Round b to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 11 + 45 = 0. What is the remainder when 17 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let s(p) = -167*p - 19 - 164*p + 16 - 9*p. Determine s(v(m)).\nAnswer: -340*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -ca (base 14) to base 11\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2014*s - 9300 = -154*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 163*u + 286. What is h(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72641855 divided by -256685.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 + 211. Let v be (-60)\/(-2)*(-3 + d\/20). Calculate the greatest common divisor of v and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 673*b = -676*b - 25, -b - 412 = -59*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 9*s - 16 = 8*s, s + 2 = -h - 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72933*j**4 + 2405*j**3 + 201130195*j.\nAnswer: -875196*j**2 + 14430*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 28 + (-3 - -4 - (-10 - -9))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 97755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -5, 2\/11, 0.054 in decreasing order.\nAnswer: 4, 2\/11, 0.054, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33385427, -33385425, -33385423, -33385421?\n\"Answer: 2*n - 33385429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 - -1)*598\/46. Let l(d) = d**3 - 16*d**2 + 44*d - 14. What is the remainder when l(u) is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 11:03 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2337885 is divided by 292227.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.008.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvjv when four letters picked without replacement from {b: 1, r: 1, k: 4, v: 3, j: 1, h: 4}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 4. Let t be (-1 - -2)\/(1\/x). Suppose -5 - t = -2*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 - 293646*x\/13 - 39384476\/13 = 0. What is x?\nAnswer: -134, 146957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 63665458509.092.\nAnswer: 63665458506.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1575 and 324675.\nAnswer: 2272725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3164750 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11728*t + 82032. What is f(7)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + (-3 + 1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4*25\/(-60))\/(1\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 33. Let l be s(6). Suppose 0 = l*o - 42777 - 194145. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 440\/352 + (-21)\/(-44) and -13\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 26*w - 4. Let l = -98 + 103. Suppose 4*i - 51 = -l*u, i = -11*u + 7*u + 21. What is the tens digit of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*z - 13 = 0, -o + 5*z + 5 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9323 + -9324. Suppose 25 = 3*v + 1. Let r be (-6)\/v - (-2)\/4. Which is the second biggest value? (a) u (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3036 and 11\/184.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -11*c - 2. Solve -q - 3 = -c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 2798*p**4 - 1015616*p**3 - 25873784*p**2 - 158954432*p - 286122368 = 0.\nAnswer: -686, -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.4 (b) 0.7 (c) 4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(-3*(sqrt(7) + -3) + sqrt(7) - (sqrt(392)\/sqrt(7))\/sqrt(8)).\nAnswer: -36*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 18.7 (c) -95 (d) 5\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 36\/8)*10. Let n(w) = 4*w**2 - 3*w - 12. Let l(f) = 3*f**2 - 4*f - 11. Let i(d) = g*l(d) + 4*n(d). Determine i(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 5*n - 10. Let t(h) = h**2 + h - 2. Let l(x) = i(x) - 3*t(x). Calculate l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -17*z + 2*u - 10756442, 10756427 = -4*z - u. Is z\/(-266) - (-6)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 m be 7 + 8\/12*-3. Suppose 4*b + 5*l - 7 = 0, -2*l - 2*l - 19 = -m*b. Suppose y - 2*y = b. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 68*o**2 + 3477*o - 10535. Calculate k(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*d = d + 232, 3*d = -5*a + 1091. Let t = a - 131. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1177392 and 13072.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 - w + 2. Let r be s(-9). Let k = -45 + r. Suppose -4*u - 15 = -k. Solve -1 = -3*h + u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/(b*b**(-8\/9))))\/b)\/b*b**20)\/(b*(b*b**(-1))\/b*b**(-12\/13)*b) assuming b is positive.\nAnswer: b**(2227\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 1. Let z = -7 - -2. Let s(w) = 6*w**2 - 5*w - 5. Let x(u) = z*p(u) + s(u). Let k(r) = -6 + 6 - r. Determine k(x(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-144)*4)\/(49775\/(-1448)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/15 - 7*y**4\/24 - 323*y**2. Let x(v) = -4*v. Calculate x(f(n)).\nAnswer: 16*n**2 + 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 10. Let v(o) = -195*o + 210. Calculate -63*u(z) - 3*v(z).\nAnswer: 711*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 0.3 (c) 41\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 3*t**2 - 4*t - 4. Let c = -13 - -10. What is the units digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 1 + 3*z - 6 - 5. Let d be k(0). Is (-2)\/d + 664\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/25026 and -59\/5820.\nAnswer: 250260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47940, -95832, -143732, -191646, -239580, -287540?\n\"Answer: -k**3 + 2*k**2 - 47891*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167729\/176 - -953. Calculate the common denominator of 155\/66 and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511374, 511367, 511340, 511281, 511178, 511019?\nAnswer: 510792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23014, -22981, -22898, -22741, -22486?\nAnswer: -22109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 74*x + 1. Let z(n) = -2*n + 7. Let k be z(3). Let s be o(k). What is the greatest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/2 - 7*v**3 + 5*v**2 - 7*v - 459. Calculate h(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07133 and -48.86722099.\nAnswer: -48.79589099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 527*f**5\/12 - 318*f**4 - 4101*f**2. What is the second derivative of y(t) wrt t?\nAnswer: 5270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348160?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1415 + -24a20?\nAnswer: -26335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261855 and 6930?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -273856 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -4)\/(2\/66). Let p = 31 + q. Let r be p\/4*1*(15 - 3). Let a(v) = -v - 7. Give a(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 - 2*i**5\/15 + 5*i**3\/6 - 2*i**2. Let c(q) = -3*q + 7. Let w be c(5). What are the prime factors of j(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 divided by -7.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -893 and -785114?\nAnswer: 784221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 5*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -51, -89, -131, -177, -227, -281?\n\"Answer: -2*b**2 - 28*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108.6 - 109. What is the fourth smallest value in 4, 0.1, -3, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38922546 by 38922546.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = 33*p - 454 + 753 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1. Let j(r) = -r**2 + 3. Let p(w) = 3*h(w) - j(w). Let x(q) = -11*q**2. Give x(p(s)).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.5 - 19.5. Let s = 30.8 + q. Put 47, -1, s in decreasing order.\nAnswer: 47, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1576a?\nAnswer: 15771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-4)\/(-7))\/1)\/((-6)\/(-21)). Determine u, given that 1\/3*u**5 - u**3 + 0*u + 0 - 2\/3*u**i + 0*u**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -65*o - 59*o + 129*o. Let v(b) = -b**2. Give v(k(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose 7 = c*p - 2*z + 1, 2*p + 4*z = 8. What is the units digit of -1 + 6 - 2\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 223, 745, 1757, 3421, 5899, 9353?\n\"Answer: 27*g**3 + 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -266. Let q be h\/28 - (-8)\/28. Solve -2*i = o + q, 2*i - 2 = 3*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - b88?\nAnswer: -b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = -5*k + 2*j, -2*j = -10. Solve 3*q - 2*i = k, 5 = q + 5*i - 4*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020847?\nAnswer: 4020847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 8, p: 4, e: 1}. What is prob of picking 2 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*h + 2*y, -4*h - 28 = -2*y - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from -3909844.\nAnswer: -3909865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.361*-0.1\nAnswer: 0.0361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -0*n. Suppose -n*g + 2*g = -10. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -249358.3\nAnswer: -4239091.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2. Let p(x) = -3*x**3 - 18*x**2 - 7*x - 4. Let k(y) = -p(y) + 2*z(y). Is 31 a factor of k(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121941 is divided by 4016.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 - 11*m**2 + 266*m + 119. Calculate g(-9).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1116\/50*(16140\/(-16))\/(-3). Suppose -5*t - 37564 = -3*b, 5*b + 4586 - 19604 = 2*t. Let i = t + p. Find the common denominator of 45\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-528)\/(-286) - 2\/(-13). Suppose 2*m = r + m - 20, 80 = 3*r + i*m. Calculate the least common multiple of r and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose d = -d - 4*p - 4, -5*d + 1 = -p. Sort v, d, -4 in increasing order.\nAnswer: -4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -7, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 1002, 1529?\nAnswer: 2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -13.2. Let s = 13.2 + o. Put 0, s, 3, -1\/4 in ascending order.\nAnswer: -1\/4, 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226.4721 take away 0?\nAnswer: 1226.4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076878 to 5 decimal places.\nAnswer: 0.00769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*g + 3024 = 32*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 1005, 1771, 2723, 3867, 5209, 6755, 8511?\nAnswer: 10483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.618\nAnswer: 0.1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 15*w**2 + 29*w - 115. What is p(-13)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**3 - 3*x**2 + 2*x + 2. Let k(s) = 9*s**3 - 3*s**2 + 2*s + 3. Let d(w) = -4*k(w) + 5*q(w). Calculate d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293865 and 2724930?\nAnswer: 29974230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32681791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a - 4. Let q be j(3). Let l be ((-22)\/(-3))\/(q\/(-15)). Calculate the highest common factor of l and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(304) - sqrt(171)\/(sqrt(9)*-2))**2 + 4.\nAnswer: 28915\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 22*j - 68*j + 26*j + 25*j. Let b(f) = -f**2 - 2*f**2 + 2*f**2. Calculate b(n(d)).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 132, 149, 172?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 28. Let f = v - -14. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 30 in descending order.\nAnswer: 30, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/(-1)))\/(8\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 285 and 1.1515627.\nAnswer: 286.1515627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + 5 + sqrt(68)).\nAnswer: -9*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 + 1. Let p(q) = -24*q**2 + 4. What is v(p(w))?\nAnswer: 6912*w**4 - 2304*w**2 + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 330979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -416 + 1161. Suppose 0 = 5*w - z + 4. Let m(l) = 10*l**2 + 2*l + 2. What is the remainder when m(-3) is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*q + 5*p - 163 = -193*q, 245*q = 240*q + 4*p + 37 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/52 - ((-132)\/(-78))\/11 - -9. Solve -y*k = 4*a - 3*k + 4, -2*a = -2*k + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23617400 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 13 = -37. Suppose -v*i = -0*i - 770. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*z - 4 + 26 = 0, 0 = -a - 2*z. Suppose -4*l + a*n = -28, 6*n = -3*l + n - 19. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 215, 313?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -845, -1, 122 in increasing order.\nAnswer: -845, -38, -1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 33*w - 141. Give i(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r**3 + 11*r**2 - 11. Suppose 33 = 4*z + 9. Let t(q) = -z*q**3 - 5*q**2 + q**2 + 12*q**3 + 4 - q**3. Give 4*o(c) + 11*t(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/15, -1\/5, -17, 2061?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = g - 3, 0 = 49*i - 47*i - 5*g - 29 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + 62. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -168 and 338 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o. Suppose o = 3*b - 2*b - 21. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let f(g) = -3*g + 1. Let q be f(k). Solve -l = b + 7, 4*l + 7 = q*b - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5394 * 11584.\nAnswer: -62484096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(89320\/(-160)))\/(72\/(-2268))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99 and 24613321910.\nAnswer: 24613322009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 + 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 3, -2\/11, -1.9 in descending order.\nAnswer: 3, -2\/11, -3\/7, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3756 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 246 = 129. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/65 - 4\/39. Let c = 301\/5 + -61. What is the fourth smallest value in 0.2, v, c, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 14 = 0. Suppose 3*d + h + 4 = 0. What is the tens digit of ((-22)\/d)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 + 6*j + 5. Let q = -6 - -1. Let i be y(q). What is the units digit of i + 3*(-2 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*i + 475 - 483, -5*i + 14 = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:41 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exfeqypy. Give prob of picking 1 f and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2811 - -2813. Put -4, p, 3, -19, 0.1 in descending order.\nAnswer: 3, p, 0.1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**2\/5 - 1110142*c\/5 - 185024\/5.\nAnswer: 2*(c - 92512)*(6*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/402 and -41\/24?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*y + 170183, 4*o + 226904 = -0*o + 5*y. Let q = 96721 + o. Suppose q = 11*b - 13*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800)\/(-420) + 2\/(-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -5 (c) 11\/1489 (d) -0.1 (e) 2 (f) 1\/3 (g) -14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/3*a**4 + 0*a**2 + 0 + 0*a**3 - a. Let r(p) be the first derivative of p**3\/3 - 3. Give v(r(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) + sqrt(200)*3 + -3 + sqrt(200) + 2)**2 + ((-1*(2 + sqrt(98)))**2 + 4)*5.\nAnswer: 140*sqrt(2) + 5530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h + 1 - 11. Let s(p) = -10*p**2 + 0*p**2 - 5*p - 15 + 3*p - p**3. Let n be s(-10). Solve h = -2*j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c + 5*i + 410, c + 160 = 3*i. Let y = 306 + c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from azqa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*z + 53288, 0*a - 53308 = -2*z - 2*a. Let c = -1572335\/59 + z. Let b = c + 1495\/2242. Put 5, b, 4 in increasing order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 866*t**3 + 2107*t**2 wrt t.\nAnswer: 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -746\/7*i + 2\/7*i**3 - 374\/7 - 370\/7*i**2 = 0.\nAnswer: -1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 1. Determine i(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:26 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 20*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:16 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*r = -105, 3*h - 4*r = -1 + 41. Suppose 4*g = -4*o + h, 0*o - 4*g + 14 = o. Suppose o*c = -2*c + 24. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 132*c**2 - 131*c - 2. Calculate n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 245, 477, 689, 875, 1029, 1145, 1217, 1239?\n\"Answer: -v**3 - 4*v**2 + 251*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/2829 (b) -20 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 19*l**2 - 183*l - 10. Determine t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 140*b - 465.\nAnswer: 5*(b - 3)*(b + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -41 - (3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((14\/(-385))\/(12\/(-120)))\/((-4)\/22))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*5\/10 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2 + 1 - 6*sqrt(80)*5)**2*6.\nAnswer: -1560*sqrt(5) + 507006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2044?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3 + 9059 - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.27328cm to meters.\nAnswer: 0.5227328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(4*t**2 - 4*t**2 - t**3)*(-5 - 8*t + 5).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 13719?\nAnswer: 425289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by 547.\nAnswer: -205\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -61*g**5 - 3*g**2\/2 + 21*g - 124. Find the second derivative of a(f) wrt f.\nAnswer: -3660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68712 (base 10) to base 4\nAnswer: -100301220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*l + 514*l = 168 + 72 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91185195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06452318183 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + 6 + -3 + (11 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -351\/4. What is the closest to -2\/5 in 5, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17080 and 2078636?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36825336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -3, 0.5, 0.3, -76\/3 in descending order.\nAnswer: 1.1, 0.5, 0.3, -3, -76\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6587 divided by 7\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-75)*9\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/(-10) + 2)*6\/(-18). Which is the nearest to g? (a) -2 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*v = -15, -2*v - 9 = -4*l + 1. What is the common denominator of (-3 - l)\/(13\/10) and -24\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-166)\/1*(-10)\/8404. Let g = 3\/191 - c. Let t(l) = -2*l - 2. Let h be t(-3). What is the third smallest value in g, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18766653 is divided by 1259?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 254557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + s**2 + 0*s**2)*((-1 + 3 + 0)*(-3 + 2 - 1) + 0 - 1 + 0).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 7*m**2 + 4*m**3 + 6*m**2. Let x(d) = d**3. Let k(n) = -6*x(n) + y(n). Let r be k(0). Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74, -152, -234, -320, -410, -504?\n\"Answer: -2*y**2 - 72*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 25*k + 11. Calculate x(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-54)\/21*2\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*i**2 - 2*a*i + 23*i**2 + 37*i wrt i.\nAnswer: -6*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/5 + 2329*y**3\/5 - 859279*y**2\/5 - 861609*y\/5 = 0. What is y?\nAnswer: -1, 0, 461, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*q + 2*b, -764*q = -788*q - b + 125 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -897 - -0.13\nAnswer: -896.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13442 - -13499. What is the greatest common factor of r and 3648?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:27 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-12)\/(-54))\/((-2)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 31, -4 in ascending order.\nAnswer: -4, -1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1092\/(-70) - 98\/(-130).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*y = -7 + 27, t - 3*y = 16. Let x = 2 + -1.6. What is the third biggest value in t, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17806, 71234, 160304, 285034, 445442, 641546?\nAnswer: 873364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 232388?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + s = -905, -3*p + 0*s = 4*s - 693. List the prime factors of p.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*y + 0)*(911*y**3 - 42 + 42) in the form d*y + i*y**3 + f*y**4 + x*y**2 + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**6\/20 + 3*i**5\/20 + 10*i**2. Find the third derivative of d(l) wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + ((-1*sqrt(68))\/sqrt(4))**2)*-6.\nAnswer: -102 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x - 4. Suppose 4*d + s - 43 = 0, -3*d + 3*s + 41 = 2*d. Is k(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 8, 3*g - q = 116 - 109 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14298983488.098 and 0.5.\nAnswer: 14298983488.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7471 - 7470. Is 11\/271 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10343221112 (base 5) to base 2\nAnswer: 101011000111111001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*k - 5589 - 336 = -227*k + 15327 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2, -0.5, 9 in ascending order.\nAnswer: -0.5, -2\/13, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + 2*w + 7. Let k(r) = r**2 + 7*r - 8. Let q be k(-9). Suppose 4*f = 2*f + q. Calculate the remainder when u(f) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*4*(-165899)\/115408.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**4\/12 - 17*w**2. Let q(r) = -2*r. What is q(b(h))?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 divided by -68?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 20*k**2 + 27*k + 3. List the prime factors of j(21).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 5*o**2 - 4*o + 7. Calculate the remainder when 73 is divided by r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 h when three letters picked without replacement from {c: 3, a: 1, e: 1, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.046 - -0.246. Let m(v) = -v**2 - 10*v - 22. Let l be m(-7). What is the second smallest value in 5\/3, p, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -796 + 257. Let y = s - -808. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 17*o**2 + 15*o + 55. Calculate a(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 1. Suppose -3*m = -4*j - 24, j + 2*m - 5 = -0*j. Calculate p(j).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:45 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 9*x + 4. Let c = 8 - 16. Calculate the remainder when w(c) is divided by ((-20)\/90)\/((-10)\/180).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1182, -2379, -3602, -4851, -6126?\n\"Answer: -13*j**2 - 1158*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/840 + w**6\/120 - 43*w**3\/3 + 5*w**2. Let q(o) be the first derivative of l(o). Solve q(z) = 0 for z.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 55335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2327709992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -46, -38, -26, -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -61. Suppose 6*p - 2*p - 14669 = 5*j, -5*p = k*j - 18364. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 43*x**2 + 11*x + 14. Let j(k) = -22*k**2 - 5*k - 6. Determine -3*b(t) - 7*j(t).\nAnswer: 25*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -966, -3847, -8644, -15357, -23986, -34531?\n\"Answer: -958*y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123151\/18 - 6844. Let v = k + 16\/9. Which is bigger: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/13 - 4*p**4 - 60*p**3\/13 + 856*p**2 - 6734*p + 10140 = 0.\nAnswer: -15, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648189474?\nAnswer: 2, 3, 108031579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2680770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -3\/7, -1355, 0.15 in decreasing order.\nAnswer: 0.15, -3\/7, -6\/5, -1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Let k = 144 + 22. Let l = -170 + k. Which is the nearest to z? (a) l (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**4 + 12*u**4 - 3*u**4 + (-4*u + 4*u + 2*u**3)*(2*u + u - 5*u) + 6*u**4 - 2*u**4 - 2*u**4.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 25. Let d(j) = -j**3 - 10*j**2 + 3. Let f be d(s). Suppose -2*p = f*p - 3750000. What is p rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 276*r - 294*r + 102906. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -25.0076. What is z rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) 0.1427 (c) -0.3 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 - 0.7. Let d = -3.749 + c. What is d rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19 - 51 = 0. Let a(v) = v**2 - 10*v + 11. Let f be a(k). Let g be ((-2)\/(-25))\/((-4)\/f). Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6.3. Suppose -2*a - 1 = -2*o + a, -3*o = -5*a - 3. Let n be 3\/o*(-16)\/(-4). What is the smallest value in -2, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8 - 6.4. Let r = z - -26.5. Let u = r - 26. What is the second biggest value in 0.5, -3\/5, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -5, 8407.\nAnswer: -20, -5, 3, 8407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -98. What is the second smallest value in 8, 6, z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*x**2 + 602*f*x + 105*x**2 + 4*x wrt x.\nAnswer: -6*f + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -1217\/344 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k**2\/7 - 717*k\/7 - 12177\/7 = 0.\nAnswer: -99, -41\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdxix. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18090610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in -0.4, 52, -0.8, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -184\nAnswer: -257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -127416 and 3377980.\nAnswer: 3250564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 - 7*t + 4. Let k be h(-7). Let a be (10*6\/k)\/3. Solve 3*r + a = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-7 - (-8)\/((-112)\/161))*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244908061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -23*n + 1. Let u be m(-2). Let o = u - 20. Suppose -3*d = p - 8, -p + d + 3 = -13. What is the remainder when o is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7.3. Let c be 3378\/(-1995) + (-6)\/21. Let x = 30\/19 + c. What is the second smallest value in a, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 + 4*f - 3. Let u be z(4). Let j = u - 131. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**2 + 10*c - 41. Let s be j(-5). Calculate the highest common factor of 148 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 188 - 148. Calculate the remainder when v is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*a**4 - 138*a**4 + 10*a**2 - 1 + 72*a**4 + 0*a**3 + 2*a**5 + 0*a**3 wrt a?\nAnswer: 120*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138\/48457 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -14 + 1 + (-14 - -27 - (24 + -50)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 27*w**2 - 13*w. Let b(d) = 21*d**2 - 12*d - 15. Let j(u) = 11*u**2 - 6*u - 6. Let z(x) = 2*b(x) - 5*j(x). Calculate -6*h(t) - 13*z(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.6568 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2322916663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14235136.\nAnswer: 2, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 5560*t**2 - 98784*t.\nAnswer: -4*t*(t - 1372)*(t - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 5, 124, 0.4 in increasing order.\nAnswer: 0.4, 2, 5, 12, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 207 = -16*g. Calculate the smallest common multiple of g and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = 14. Suppose 3*p + 15 = v*p. What is the remainder when 42 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 22 - 7) + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:45 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1705.3 smaller than -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000873 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 3 - f**3 - 2*f - f - 7*f**2. Let m be w(-6). Suppose 0 = j - m*j - 10. Let h(s) = s**2 + 5*s. Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935 + 1260 - 338 + 5*l.\nAnswer: 5*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8545232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25001\/538 - -8\/269. Which is smaller: 47 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6 = -3*t, -8*t + 16 = -3*t - 3*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.894509 kilograms to tonnes.\nAnswer: 0.004894509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*y + 3*y + 33, 0 = -5*y - 15. Let d = -13 + c. Let x = d + 25. Calculate the remainder when 35 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 30 (b) -0.05 (c) 4 (d) -499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.73817 to 2 decimal places.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5753*i - 1827. Is z(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -256?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*w**2 + 552\/5 + 34\/5*w.\nAnswer: -(w - 46)*(w + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -33013?\nAnswer: -33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20635, -82484, -185527, -329758, -515171, -741760, -1009519?\n\"Answer: y**3 - 20603*y**2 - 47*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10731312 to the nearest integer?\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/((-249)\/1577*95\/(-10))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = 47. Let u(v) = v**3 + 13*v**2 - 16*v - 23. Let b be u(i). Suppose 4*a - 621 = -b*a. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1417*c + 37*c + 78660 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 = 3*o, 8*l + 15 = 3*l + 5*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.498445 + 0.498. What is j rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 738? (a) -5 (b) -2\/7 (c) 2\/21 (d) 0.043 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2798096 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1382 and 19838610?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 19. Solve -4*f = -2*h - 1 + w, -16 = 4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w = 97*w - 54*w - 2*j + 60, 4*w + 3*j + 92 = 0 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.509 minus 11?\nAnswer: -12.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24271181154 less than 0.2304?\nAnswer: 24271181154.2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395*i*r**4 - 2*i*r**3 + 2923*i + 2*r**2 wrt r?\nAnswer: -9480*i*r - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*2 + 1. Suppose 0 = i*l - 2*l - 4*b - 38, -5*l + 86 = -b. Solve 0 = 3*w + l - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39420, 39392, 39346, 39282, 39200, 39100, 38982?\n\"Answer: -9*k**2 - k + 39430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**3 - 2*x**2 + 1. Calculate the remainder when s(1) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from ceeecceeeeecccegee?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 29 - (0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-8)\/340*-5). Let w = r + 26. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = 4*p - 7, 0 = -4*w + 4*p - 4. Suppose -1 = -3*g + 3*m + 2, 3*g + w*m + 7 = 0. Let v = -3 - -7. Put g, v, 5 in increasing order.\nAnswer: g, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1687 by -5852.\nAnswer: -241\/836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfofffffkjkfjffjo. What is prob of sequence ffj?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6)**(2\/13)\/((m\/m**(-8)*m)\/m)**(1\/5) assuming m is positive.\nAnswer: m**(-57\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 1. Let z be d(2). Suppose -u + 37 = -5*b, 185 = 5*u + 2*b + b. Let k = u + -22. Solve 2*v - 24 = 4*t, -z*v + t + k = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 454110 = -5*t, -141*l + 142*l + 181635 = 2*t. What is t rounded to the nearest 1000?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20035 is divided by 2504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 4*k = 28*l - 80, 179*l - 262*l = 252*l - 2*k + 1625 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19181 + 19227.708. Let m = 0.442 + u. Let n = m - 48. What is n rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613.138428 minutes to weeks.\nAnswer: 0.060827225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/56*5\/30*-21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244860.\nAnswer: 2, 5, 67, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {n: 2, i: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + 80. Suppose -4*w - i = -3*o, 86 = 3*o + 4*w - 18. Let c = o + -26. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 39. Suppose -5736 = v*w + 144. Let f be ((-24000)\/14)\/((-4)\/w*5). What is f rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252.9 - -1555. Round n to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93541.\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*z - 6 - 9, -4*z + 3*p - 13 = 0. Suppose 103 = -3*c - 2*r, 169 = -5*c + 3*r - 5*r. Let x be (-2)\/12 + c\/(-90). Sort z, -3, x.\nAnswer: z, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41464 + 41463. Sort 2, 11, 23, a, -3.\nAnswer: -3, a, 2, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**5\/5 + 960*q**3 - 3293*q**2 - 3798. Find the second derivative of j(a) wrt a.\nAnswer: -12*a**2 + 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220243 + 333214?\nAnswer: 1104012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23211 divided by -11\nAnswer: 23211\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20120.69km in centimeters?\nAnswer: 2012069000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (179\/35 - 5)\/((-1)\/(-7)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1439*u + 16. Let i(t) = -1438*t + 19. Calculate -6*g(j) + 5*i(j).\nAnswer: 1444*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4522110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 = -4*r + 8, -31 = -5*r - 3*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8557039 is divided by 733?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**5\/20 + 5*j**2\/2 - 3*j + 3. Let u(k) be the first derivative of v(k). Let y(f) = -1. Determine u(h) + 5*y(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 3124443?\nAnswer: -3124234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Suppose v - 189 = -185. Let j(u) be the third derivative of 0 + 0*u**v + 1\/20*u**5 + 0*u**3 + 0*u - 2*u**2. Determine k(j(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*6\/8*2. Let o be 4\/3*b\/2. Solve -3*g - 8 = -o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1317 times -69919\nAnswer: 92083323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -5 + 4 - -192 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19) + -1 + 3*(2 + sqrt(19)) + (-6*2*sqrt(1216))**2.\nAnswer: 4*sqrt(19) + 175111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let u(g) = -5*g. Let k be u(-4). Suppose r = 5*j - k - 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 29*r**2 + 31*r + 31. Let j be o(-30). Is 313 - (j + 0)*-7 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 556, 4473, 13942, 31369, 59160, 99721?\nAnswer: 155458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -0.4, 5, 1\/2, -112?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.02 (b) -2\/7 (c) -1\/4 (d) 0.6 (e) -3 (f) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + 2*q + 2 - 3*q - 2 + q - 1 + 1 + (4 - 4 + 2*q)*(1 + 1 + 0) + 11*q - 42 + 42 + 0*q - 3*q + 5*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 40, -6, 46, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -6 - (-28 + 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-4)*(-30)\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19221 divided by -43\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*l - 8*l. Let q(m) = -2*m**2 + 38*m + 4. What are the prime factors of q(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.06 + 25.4394. Let t = k - 0.37. Round t to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -120701*t + 3609. Let z(v) = -401*v + 12. Give -4*q(k) + 1203*z(k).\nAnswer: 401*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 40*v**2 - 43*v + 56. What is the remainder when 304 is divided by g(-21)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 26*f**2 - 14 + 0*f + 4*f. Let w(j) = 9*j**2 + 5. Let g(b) = 4*l(b) + 11*w(b). What is g(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/60 - q**5\/15 - q**4\/6 - q**3\/3 - 2*q**2. Let h be k(-2). Suppose 2*d - 8 = h*d, 160 = 5*n - 5*d. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 2 + 0 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 162*x - 782. Let a be o(5). Solve 3*c + 6*j - j = 0, -j = -5*c - a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 44, 5, 17, 79, -1, 4 in descending order.\nAnswer: 79, 44, 31, 17, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -25278*m**2 + m + 2. Let k(o) = 18*o. Determine t(k(n)).\nAnswer: -8190072*n**2 + 18*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10)*5\/(15\/12)*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -152068.\nAnswer: 3953768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r**2 + 175*r - 149*r - 26*r.\nAnswer: -43*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2931 - 2930.8729. Round b to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in 5, -2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g + 6. Let q be p(5). Find the second derivative of -2*m**4 + 2*m**4 - m**4 + q*m + 0*m**4 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1947.980016 + -1948. Let r = v - -0.02. Round r to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8944584 and 612.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/33 - -2\/33. Let s(n) = -n**3 + 5*n**2 - 4*n - 1. Let f be (4\/(-10))\/((-1)\/5). Let z be s(f). Which is the nearest to 2\/3? (a) i (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57424320 divided by -9144\nAnswer: 6280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 532. Let o be i\/(-4)*(1 + -3 + 0). Let p = -132 + o. Sort p, -4, -9.\nAnswer: -9, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261.09 - 262. Let u = -5.09 + v. Does -0.4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1900\/13 + 146. Let i = 2 + -2. Which is the nearest to i? (a) 5 (b) k (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -149. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 1718705099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 191, 286, 381?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2572*r**2 - 17688*r**2 - 3791*r**2 - 8115*r**2.\nAnswer: -27022*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 3*y - 5. Let q be (-4 + 3)\/(2\/(-14)). Let f be t(q). Find the common denominator of 57\/2 and f\/(-20)*(7 - 8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from thehvhtllhhhhhhlet?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3740293791 to the nearest integer?\nAnswer: 61158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1029.25 - 1209. Let c = -190 - x. What is c rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095929 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**10\/630 - y**6\/60 + 5*y**3\/6 + 4*y**2. Let o(z) be the first derivative of v(z). Find the third derivative of o(a) wrt a.\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 5 (c) 7 (d) -0.4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 359927713919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2395\/114 + -396\/19. Let s = 981\/11 + -89. What is the closest to 0.2 in s, g, -1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 34.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 5:05 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 5022?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 448165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.10474 - -2.60474. Let d be 21\/(-6) + (-2)\/4. Which is the nearest to 0? (a) v (b) d (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/h**(-1))\/h))\/h)\/h**(2\/9))\/(h**(-2\/5)*h**(-2\/5)) assuming h is positive.\nAnswer: h**(-19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 50. Suppose 12 = 7*j - 2. Solve f*b + 1 = -j*c, c + 3*b = -3 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 23122\nAnswer: -1\/23122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2322 divide 1425884472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 14769*u**3 + 36 + u**2 - 14769*u**3 - 14*u**4 in the form a*u**3 + t*u**4 + w + m*u + f*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 + -65. Let q = -57 + z. Solve a + 5*d = -q - 16, -4*a - 5*d = 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r + 1 - 5 - 3*r**2 + 2. Let b(i) = 13*i - 6. Let v(y) = 4*b(y) + 9*x(y). Give v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)*(b**(-5\/3)\/b)\/b)\/((b*b**18)\/b**(11\/4)) assuming b is positive.\nAnswer: b**(-3083\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-11970)\/(-2100)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 645 - 645 - 385*u**2 - 4*u**2 + 2*u**2 + u**2 + (-4*u + 2*u + u)*(-1 + 2*u + 1) + 0*u**2 - 4*u**2 + 3*u**2 - u + u - 2 + u**2.\nAnswer: -388*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:05 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 0 + 8 - 6. Let k be u(-6). Put -3, 0, k in increasing order.\nAnswer: k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*j - 488 + 488 + 2*j + j - 6*j + (-3 - 3 + 5)*(-j + 10*j + 5*j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -11. Suppose -3*w + t = w. Suppose k - w*k = 0. Solve q = -k*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -19*k. Suppose k = -10*y + 3*y + 28. Suppose y*w + w - 2*t = 364, -5*w = t - 373. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2, -1\/6, 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 4*x**2 + 15743 - 4*x**2 - 15743.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293461662, -586923326, -880384990, -1173846654?\nAnswer: -1467308318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 + 624*p**4 + 4800*p**3 + 9472*p**2.\nAnswer: 4*p**2*(p + 4)**2*(p + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 63*y**2 + 18*y - 54. Does 27 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.76957 days to microseconds.\nAnswer: 4991290848000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:06 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2204329502 to the nearest integer?\nAnswer: 46950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-18)*(-2 + -58). Suppose -2*r = -4*x - f, -4*x = 4 + 16. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 3*r + 8. Suppose 0 = -5*v + 10*v - 2*w + 27, -v = -3*w - 5. Determine t(v).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 - 4*w**4 - 8*w**3 + 4*w**2 + 6*w.\nAnswer: 2*w*(w - 3)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:50 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-3))\/(1\/50))\/(27\/((-405)\/(-15))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*q - 21, -3*o + 7*q - 13 = 2*q. Solve -b + 4*r + 11 = 0, -2*b + 0*r = -o*r - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1517*d**2 - 2*d**3 - d + 1675*d**2 - d to w*d**2 + r*d + s*d**3 + m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*s = j + 1458, 0 = 5*j + 2*s - 1478. Suppose 0 = -412*o + 426*o - j. Calculate the highest common factor of o and 651.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/15 - 7*o**5\/10 + 4*o**4\/3 + 16*o**3\/3 - 178*o. Let k(x) = 0. What is x?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 3889921*j + 7779824*j + 2 - 3889906*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -11*f**8\/336 + f**4\/4 + 2*f**2 + 5. Let q(x) be the second derivative of z(x). Find the second derivative of q(m) wrt m.\nAnswer: -220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s - 95. Determine g(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -25.939.\nAnswer: -30.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-5))\/((-36)\/(-90)). Let r = 0.2 - 0. Which is the nearest to 2\/29? (a) n (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501512.\nAnswer: 2, 11, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 16, 35, 62, 97, 140, 191?\n\"Answer: 4*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*t - 5*g**2 - 3*g*t + 23062*g - 114736*t + 27 wrt g?\nAnswer: 2*g*t - 10*g - 3*t + 23062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 2*p + 1. Give f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 12) to base 3\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 175776\/(-615118). Let m = 3383189\/878740 - j. Let n = 16\/41 + -1121\/246. Calculate the common denominator of n and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 48. Find the second derivative of -33*v**5 + z*v**5 + 17*v + 9*v + 12*v wrt v.\nAnswer: 260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.2. Let q be (-1)\/(-10*3\/6). Suppose 0 = 4*d + 4 - 0. What is the nearest to q in h, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*a - 85, -x + 17 = 5*a - 0. Suppose 7*u - 3*u - 48 = 0. Let l = u + -2. What is the remainder when x is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 13 - 3. Let y(o) = o**2 - 25*o + 30. Let f be y(24). Suppose -5*d + 3*t = f - 81, -5 = -t. Calculate the highest common factor of a and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 65*r. Let f(x) = -66310*x. Give l(f(s)).\nAnswer: -4310150*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:46 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1247 + 15 = -44*h. Solve -18*z - h - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7288*n**2 - 3 - 7462*n**2)*(0 - 3*n + 0).\nAnswer: 522*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11356978 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74817 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-125))\/(32\/((-7040)\/(-154))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 6\/7 (b) -9\/17 (c) 0.004 (d) 7\/3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-595)\/280 + (-1)\/(-8) + 3. Let m = 32 - 106. Let c be (-4)\/m*8\/48. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16162 smaller than 18906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 1. Let p = -118.8 + 109. Let k = p - l. What is k rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 2*v**2 - 14*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 + 24*n + 28 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 + 2*h - 2. Let o be f(2). Let q = -20 + o. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -565 and -614 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1358.38 - -1358. Is -2 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o - 7. Let f be b(4). Let x be (-7759 - f - (-2)\/2) + 3. Is 52\/(-338) - (-5)\/((-130)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*h + 100, 5*h = 7*h - 4*j - 98. Calculate the highest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 576 + -462. Calculate the remainder when c is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4327*s. Let a be u(5). Let m = 15275 + a. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -542 and -0.6?\nAnswer: 325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31238261 is divided by 2231304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 535 - 145. Suppose 6*c = 4*c + d. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 315, 466, 613, 756?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 + 0*j**2)*(1 - 1 + j**3) + 6*j**5 - j**5 - j**5 + (-2*j**4 + 6*j**4 - 2*j**4)*(-2*j - 2*j + 0*j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/28 + (-4)\/(-14). Let n be (-2)\/w + (-70)\/(-21). Let t(v) = -5*v. Let r be t(-1). Solve n*q - 4*f - 14 = -r*f, -2*f = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42154 - -1?\nAnswer: 42155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 2 - 75 + 40)*(0 + 2 + 0 - 2*z**2).\nAnswer: 224*z**2 - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7072 is divided by 187?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29404*n - 33006?\nAnswer: -29404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 26820*j**2 - 782835*j - 4584050.\nAnswer: 5*(j - 34)*(j + 5)*(j + 5393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 107, 159, 209?\n\"Answer: -g**2 + 57*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 21681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 41*d**4\/3 + 2*d**3\/3 - 6*d**2 + 112*d. Find the second derivative of k(f) wrt f.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -4*z. Let c = 0 + 0. Let u(h) = -2 - h + 3*h + c*h. Calculate u(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -2, -291, 5, -3 in descending order.\nAnswer: 121, 5, -2, -3, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(3) + sqrt(3))*-5*5)**2 + 3 + 0.\nAnswer: 16878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 104. Suppose 7*k = -0*k - i. Sort 30, k, -4 in decreasing order.\nAnswer: 30, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17310 by 3.\nAnswer: 5770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109186 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*c + 38 = 0, -j + 5*c = -0*j - 18. Suppose -5*l + 3*g + j = -0*l, -l + 8 = g. Let x be (4\/(-4) - -3) + l. Solve v = x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 96.26916ug in grams?\nAnswer: 0.00009626916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8665, 34750, 78277, 139294, 217849?\nAnswer: 313990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 373427844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.74525525 rounded to three dps?\nAnswer: -49.745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 - 5*j + 3. Give v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -7. What is the smallest common multiple of 9 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 2. Let b be y(-7). Let q = 28 - b. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 4\/(-4) + -63. List the prime factors of (2 - r) + 1 - -4.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)**(-40)*(h**(-1)*h)**45)\/(h**(4\/3)*h**(2\/33)*(h\/h**(-2\/7)*h)**(2\/31)) assuming h is positive.\nAnswer: h**(-11038\/7161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*t + 51 = 0, -i + 5*i + 4*t = 96. Solve -p - 4*p = -3*y + i, y - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**8\/336 + u**7\/10 + 3*u**6\/8 - 137*u**4\/24 - 11*u**3\/2 - 17*u**2 - 5*u + 4. Find the second derivative of w(y) wrt y.\nAnswer: 20*y**3 + 252*y**2 + 270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**2 + 357*d + 10. Let y(w) = -8*w**2 - 179*w - 6. Let h(s) = 3*f(s) + 5*y(s). Let o(n) = 23*n. Give o(h(l)).\nAnswer: 46*l**2 + 4048*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 10*a + 11. Let f(x) = -3*x**2 - 5*x - 6. Let r(l) = 11*f(l) + 6*m(l). What is the second derivative of r(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2042183*q - 22464012. Determine n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from vvrrjrjvkwjkrvvvrv?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2203.39 - 2217. Let i = v - -1.41. Let o = -12.6 - i. Sort 0.1, -4, o, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:32 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 56 = 69824*c - 69820*c, -396 = -3*u + 27*u - 4*c for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -28 + (3 - -3) + -1 + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 18*y - 1363. Give j(50).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*t - 6*t - 49, -t - 3 = 0. Suppose m*k = -0 + 10. Let h = 5 - -2. What is the highest common factor of h and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 5*o + 4. Let r(s) = s**2 - 2 - 4*s + 2 + 2 + 1. Suppose 4*u - 4 = 8. Suppose -f - 4*f - 20 = 0. Determine f*r(p) + u*q(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 1, g: 1, q: 2, m: 1, s: 3}. Give prob of sequence mw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*z = -247*z + 167 + 133. Solve -8*j - 49 = -z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {f: 1, o: 2, m: 2, w: 7, b: 4}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 184, 308, 462, 652, 884, 1164, 1498?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 0.19?\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42239\/6 + -7040. Which is the closest to s? (a) 3 (b) 1\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104072329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -126*p**5 + 3147*p**4 - 23739*p**3 + 30051*p**2 + 184437*p + 4374 = 0?\nAnswer: -2, -1\/42, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:19 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-830)\/498*1386\/55?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 103.46952 months?\nAnswer: 0.862246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4007869248156 and -2.\nAnswer: 4007869248154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + (-10)\/(-14). Suppose 5 = q - p. Let s(h) = -q + 2*h - h + 5*h. Let z(c) = -4*c + 4. Calculate 5*s(i) + 7*z(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x = 124*x - 0*x - 2114 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v = 3*o - 34*v + 21, 7 = -5*o - v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22774 is divided by 22436.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8) - (sqrt(14)\/sqrt(7)*2 - sqrt(2)))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -23.28.\nAnswer: 23.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let b(v) = 6*v. Give b(y(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -21. Let u = 0.01 - -0.59. Let k = 0.5 - u. Sort k, 3, o in descending order.\nAnswer: 3, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -13.59426884?\nAnswer: 8.59426884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 72*f - 9. Let x(l) = 180*l - 22. Let v(y) = -12*p(y) + 5*x(y). Let a be v(3). What is the derivative of -106*h**2 + a*h**2 - 23 + 22*h**4 wrt h?\nAnswer: 88*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by 659?\nAnswer: 298\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128 + 51. Let l = p - -143. What is the greatest common divisor of 12 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 414 = -5*q, -6*j + 2*j + 336 = -4*q. What is the units digit of (-3)\/15 - q\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:56 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*3\/(-10 + 1). Suppose o*c = 5*c - 9. Solve -4*p + c = -0*z - z, -4*p + 3*z + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from ghhgfhhssgs.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17376429809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - -1 - (1 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 10*i + 3. Let q be t(-7). Let x = q + -20. Solve 7 = 5*g + 3*d, -2*d + 4 = 5*g - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14570000 rounded to the nearest one hundred thousand?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*u**2 + 4238*u**2 - 101*u**2.\nAnswer: 4282*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, -0.5, -35, 2\/2451 in descending order.\nAnswer: 2\/2451, -0.3, -0.5, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2)*(-59)\/177)\/((-1)\/(-6)). Solve x*w = -4*d, -12*w + 15*w = -2*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/25, 8\/7, 0.3 in decreasing order.\nAnswer: 8\/7, 0.3, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven halves of a kilometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 1. Let v(i) = -i**2 + 8*i + 5. Let a(x) = -3*t(x) + v(x). Find y such that a(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:53 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 107.2. Let r = -10 - -14. Sort t, r, 2\/19 in decreasing order.\nAnswer: r, t, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446492 is divided by 1511.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 471555 and 2373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 607 + 389?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(304)) + sqrt(304).\nAnswer: -24 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526 - z**2 + 4904 + 3*z**2 + 944.\nAnswer: 2*z**2 + 7374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 15 = -3*v. Suppose 3*q - 5*d = -51, q - v*q = 4*d + 68. List the prime factors of -20 - q - (1 - 77).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -692 - -1096. List the prime factors of n.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 - 28. Let c = m + 34.012. Round c to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*f + 6980, -20*v + 18*v = 5*f - 8716. What are the prime factors of f?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**4\/24 + 11*i**2. Let l(x) = 7*x + 5. Let h(p) = 4*p + 3. Let q(f) = 5*h(f) - 3*l(f). Calculate n(q(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200200201101 (base 3) to base 13.\nAnswer: -539203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 792 + 812 = 0. Let h = -219 - p. Suppose -2*k = -h + 46. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*r - 21, 4*x - 5*r - 7 = 2*x. Let i = -2 + x. Suppose 2*n = 3*h - 20, -h + n = 3*n + i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Let z(a) = 4*a + 3. Determine -7*n(g) - 2*z(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s**3 - 4*s**3 + 4*s as d*s**3 + l*s**2 + r*s + z and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -786 + 789. Factor -1\/3*h**2 - w - 2*h.\nAnswer: -(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - 1 - 2) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -5 (b) -127 (c) 3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4 + 4 + 1 + r - 1 + (0 - 4 + 3)*(-r + 0*r + 0*r))*(r - 4*r + 4*r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(-6) + (-465)\/(-90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)\/x)\/x**(-10))**(-4)\/((x*x\/x**(3\/4))\/(x\/x**(-3\/4))*(x*x**(-2\/3))**(-10\/3)) assuming x is positive.\nAnswer: x**(-187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105*((-3)\/(0 - -3) - -2). Calculate the highest common factor of n and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 85. Is -26 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220020210 + 12?\nAnswer: -20220020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b881c (base 13) in base 2?\nAnswer: 10101011111110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, v: 1, n: 3}. Give prob of sequence vb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 885*h**2 + 882*h.\nAnswer: 3*h*(h + 1)*(h + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + c - 91, -o + 119 = 2*o - 2*c. Calculate the remainder when o is divided by 2\/3 - 46\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -14*u + 9. Let f be w(3). Let i = -12 - -6. Calculate the smallest common multiple of 6 and (-4)\/((i\/f)\/(-1)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274d61 (base 14) to base 3.\nAnswer: 2120000001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305.734 months in decades?\nAnswer: 19.21445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15906*q**2 - 184*q + 55. Is s(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-455)\/700 - (-4)\/10)*-28. Let k(j) = 9*j**3 - 5*j**2 - 2*j - 15. Let s(d) = 13*d**3 - 7*d**2 - 3*d - 22. Give g*k(h) - 5*s(h).\nAnswer: -2*h**3 + h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-47)\/((-799)\/(-204))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 598384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 265, 271, 277, 283, 289?\n\"Answer: 6*c + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 764005134353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/51200 and 33\/2560.\nAnswer: 51200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 129389744 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -2. Solve m = -5*x - l, m = x - 0 + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b**2 + 5*b - 2. Suppose -6 = z - 2. Let s be c(z). Let j = s - 114. Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5\/4, -2\/3, 1, -11 in increasing order.\nAnswer: -11, -7, -5\/4, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 835 + 383)*(-4*y**2 + 10 - 10) to the form i*y + z*y**2 + r and give z.\nAnswer: -5092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1071\/850*(-235)\/423.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -463.\nAnswer: -10\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 - -133. Let v = 111.5 + s. Let b = -7 - -7.2. What is the smallest value in b, -40, v?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16075863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*i - 2, 5*i + 13 = 35*h - 39*h. Solve -2*r = 5*v + 8, -4*r - h*v - 21 = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)\/(i*i*i**(-16)))**10 assuming i is positive.\nAnswer: i**(1010\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 2 - 97 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/51, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 653393 and 1911.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - o = -0*l - 197, 0 = 2*l - 5*o - 95. Let w be 56\/l - (-2)\/(-5). Which is the biggest value? (a) 5 (b) -3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)\/x**(1\/13))\/(x**(-2\/63)*x**(-2)) assuming x is positive.\nAnswer: x**(745\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g. Let i(f) be the third derivative of -f**6\/240 - 13*f**4\/24 + 7*f**2. Let s(z) be the second derivative of i(z). Determine m(s(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -376*m**2. Let i(c) = -c - 2631. Calculate i(l(o)).\nAnswer: 376*o**2 - 2631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 13, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 0*k + k + (4 - k - 4)*(2 + 4 - 7) + 330*k + 192*k - 2398*k.\nAnswer: -1877*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (1 - -4))*-5. Suppose 7*b = 82 - w. Solve 13*z - b*z = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o\/(o*o*(o**(1\/4)*o)\/o*o)*o)))**(-1\/15))**(-23)*(o**(-5)\/o*o)\/(((o\/o**(-1))\/o)\/o)*o**1\/o*o**6 assuming o is positive.\nAnswer: o**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-4) - (-7 + -1). Suppose u + m = 13. Let h = 1 + u. 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: Let h = 598 + -599. What is the fourth biggest value in 0, 2\/9, 2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/30 + x**5\/40 + 11*x**3\/3 - 30*x**2. Let g(p) be the first derivative of h(p). Suppose g(v) = 0. What is v?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 883267 = y. Let l = -410297 + y. What is l rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g + 10*g - 25*g - g**2. Let t(f) = 0*f**2 + 2*f**2 - 4*f**2. Calculate t(u(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 7*x**2 + 6*x. Let n be d(6). Suppose 0 = -n*u - 3*u - 54. Let s be 6*(-3 + u\/(-4)). Solve -3*q = -s, 13 = 4*f + q + 2*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3310125, -3310119, -3310109, -3310095, -3310077?\nAnswer: -3310055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 16 + -5 + -18\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -21.2. Let n = y - -1.3. Are n and 3\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 85957.\nAnswer: -9\/85957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 618*g + 6104. Let f be t(-10). Let j(w) = -6*w**3 + 2*w**2. Let q be j(-3). Calculate the highest common factor of q and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 - (32 + (0 - 4)) - (13 - 21)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33687329 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -307, -698, -1235, -1912, -2723?\nAnswer: -3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000312 rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/319 and -2\/2117.\nAnswer: 23287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 7*v - 27. Let s be j(-8). Let l = 11 - 28. Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.4 + -67.1. Let x = 0.062 + -19.662. Let y = x - b. Round y to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - (-1 + -44). Suppose 0 = 3*n + 5*g - 41, 23*n - 28*n = g - 61. List the prime factors of (n\/i - 3\/(-9))*95.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 264c7d - -4?\nAnswer: 264c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/22470 and -149\/764622.\nAnswer: 26761770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001100 + -11111000110111?\nAnswer: -11110011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 6 - (40 - 35). Which is the fourth smallest value? (a) -5\/6 (b) u (c) 1 (d) 89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, 191141, 4, -2, -9.\nAnswer: -9, -2, 0, 1, 4, 5, 191141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/64)\/(-1 + 0).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 - 6*f - 3. Suppose i = -4*i - 25. Let q = i + 11. Suppose 3*p - 2*p - q = 0. Give r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583675 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-228)\/(-5) - 6\/10. Let f = -41 + v. Suppose -11 - 505 = -f*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - 8fe1?\nAnswer: -9018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c - 9. Suppose 2 = -7*i + 4*i + 4*y, 2*i = -4*y - 8. Let w(m) be the second derivative of m**3\/6 - 2*m**2 - 2*m. Determine i*k(q) + 5*w(q).\nAnswer: -2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/66 and -65\/9774.\nAnswer: 107514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 95*b**3 - 21*b**2 + 30*b - 29. Is m(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -159*g**2\/2 + 1247*g + 1376. Find the first derivative of b(w) wrt w.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {y: 10, d: 1, r: 2, j: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:39 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (19\/95)\/(4\/(-24))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 10. Let c be f\/5 - (-2)\/(-5). Is -1\/3 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.877392454 - -4.7.\nAnswer: 78.577392454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*w - 297*w + 7 - 4 as b + p*w and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21112 + 2?\nAnswer: 21114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*m - 12*h + 4*h + 8*h - 110, 4*h - 84 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2825716, -2825683, -2825622, -2825527, -2825392?\n\"Answer: d**3 + 8*d**2 + 2*d - 2825727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237.9*32.3.\nAnswer: -7684.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 12 + -4 - (-1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(((w\/w**(3\/10))\/w)\/w)*w*(w\/w**(-3\/8))\/w*w*(w\/((w*w*w**(-7\/5))\/w))**(-31) assuming w is positive.\nAnswer: w**(-1549\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.78501nm in kilometers?\nAnswer: 0.00000000000978501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72953 divided by -19?\nAnswer: 72953\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h - 353. Let p be c(19). Solve -p = m - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1408, -1406, -1404, -1402?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose 77 = 5*w - z. Suppose o - w = -3*o + 3*p, -3*o - 5 = 2*p. Solve 2*j + 3 + o = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 - -30153.\nAnswer: 30233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*q + 1. Let d = -36 - -20. Let i = q - d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/7 - 278*r\/7 - 277\/7 = 0?\nAnswer: -277, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/(2\/11572). Suppose -3*q - 262 = -x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*p - 16 + 50, 3 = 3*p. Suppose -21 - r = -3*n. Let x be (-3778)\/n + (-14)\/63. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Is -1 + j - (-9 - -1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c. Let s(h) = -16*h. Let y(k) = 6*f(k) - 2*s(k). Let d(g) = g**2 - 5*g + 6. Let i be d(4). Let q(b) = 4*b**2 + 4*b**i - 3*b**2. Calculate q(y(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 5351 = -1789. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 9. Let s(j) = -1 + j + 2 - 2. Let v(c) = 3*s(c) + u(c). Let k(f) = 1. Calculate 12*k(t) + v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 4\/(-2))*1. Let m = 2 - q. Solve 3*y - 4*w = 2 - 1, -3*w = m*y + 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2*o**3\/3 + 5*o**2\/2 + 27*o - 2. Let z(b) = -3*b**2. What is v(z(p))?\nAnswer: -12*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let z = 0 - n. Let i(j) be the third derivative of -j**4\/12 - 18456*j**2. What is i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*f + 159 = 0, -2*i + 3*f - 83 = -134. Let h = -1849 + 1184. Let n = 989 + h. What is the greatest common factor of i and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 50*y - 999. Let p be q(-19). Calculate the greatest common divisor of 408 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 - 24 = 0. Suppose 5*x - 15*h + 2 = -14*h, -3*h = -6. Suppose 3*z + t*z - 12930 = x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n, -2*f + 44 = -3*n - 443. Let q = -232 + f. Solve 4*d + q = 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13056898*q**2 - 6673*q + 612 wrt q.\nAnswer: 26113796","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 6*x + 4. What is z(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 86, 104, 124, 146, 170, 196?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*p**3 + 0 + 7 - 3.\nAnswer: 6*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67301 (base 8) to base 7\nAnswer: -145443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + (-4 + 4 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*n + 798 = 0, -m = 2*m - 3*n - 594. Suppose 0 = -4*t + m + 623. Let h be (4 - t)\/(2 - 0). Round h to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 24. Let u be ((-24)\/s)\/((-6)\/20). Let p(a) = -4 + 3*a**2 + a**3 - 1 + 1 - 5*a. Determine p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 1, v: 12, b: 2}. Give prob of picking 2 b and 1 v.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2692098 + 6*l**2 - 2692098.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292\/7 bigger than 95\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/98 in 5\/29, 4, -1\/4?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*x - 11 = 0, 5*x - 9*x = 5*v - 37. Suppose -5*q + 3*z + 18 = 0, z = -5*q + 6*q - 2. Suppose -3*f + q*f - 18 = 0. Solve f*o = o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*r**2 + 3686*c - 5564*r - 1 wrt r.\nAnswer: -4*c*r - 5564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4553720 + 4?\nAnswer: -4553715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r**4 + 1\/560*r**7 + 1\/2688*r**8 + 0 + 0*r**5 + 1\/480*r**6 + 0*r**3 + r + 23*r**2. Factor j(u).\nAnswer: u**3*(u + 1)*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4120 + 4?\nAnswer: -4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -35. Suppose -n = -0 - 5. Is 817\/n - (-4)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 365977 equal to 365975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/123 + 125\/246. Let r = -2 + 2.1. What is the third biggest value in -4, r, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*x - 124, 0 = 15*x - 10*x - 4*o - 170. Let d be 5 + (-330)\/70 + 24\/14. Calculate the greatest common divisor of x and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/70 + 9*f**6\/20 + 103*f**5\/20 + 99*f**4\/4 + 56*f**3 + 82*f**2. Find y such that q(y) = 0.\nAnswer: -8, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910567249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 522212 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: Find x such that x**4 + 646*x**3 + 103680*x**2 - 209952*x = 0.\nAnswer: -324, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + 2*sqrt(405)*-4 + -4 - 1*(0 + sqrt(405) + 1 - sqrt(405))*-4))**2.\nAnswer: 864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*t**5 + 2*t**4 + t**2 - 17*t wrt t?\nAnswer: 5040*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 - 88. What is the remainder when 45 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0926 times -17?\nAnswer: -1.5742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770221743?\nAnswer: 3, 293, 383, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/((-80)\/(-294))*(-697)\/861.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m = -5*m - 406 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u**2 - 34 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x**2 - 5. Let l(q) = 4*q + 27. Determine s(l(w)).\nAnswer: -192*w**2 - 2592*w - 8753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5238 divided by 97\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1641, 3287, 4933, 6579?\nAnswer: 8225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 7*d)*(-1 + 0 + 0)*(-1 - 1 + 4).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 666 = 3*x, -14*b + 19*b = -3*x + 645. Let l be 20\/x + 3\/(-33). Solve d + 18 - 18 = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - 197*n**2 - 186*n - 284. Let p be o(69). Round p to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.115 - 1.595. Round p to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/102 + (-2)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:32 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from tlmtttllttttl?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4615785 (base 9) in base 2?\nAnswer: 1001100000001000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 8*d + 11. Let s be h(6). Which is the closest to s? (a) -4 (b) 3\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 3*a + 1118 = 0, -62*m + 85*m - 18*m - 3*a + 236 = 0 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814697182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113010 (base 4) to base 14.\nAnswer: -3748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w**2 + 3*w. Let p(f) = 143*f**2 + 26*f. Give -3*p(z) + 26*q(z).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 99 + 87 = -0*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/14 + -2*(-8)\/28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:09 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11564, -39567, -86236, -151571, -235572?\nAnswer: -338239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-18))\/((-138)\/(-2691)))\/(2\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + w = 0, -4*w + 0*w + 9 = 3*t. Let a be (-1 + t - -4) + -505 + 3. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5105.\nAnswer: 1\/5105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -12. Suppose -5 = -5*v - g*v. Sort 0, v, 2 in decreasing order.\nAnswer: 2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3*f + 8 - 36 + 26.\nAnswer: 3*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 8 + -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 865 by 89789.\nAnswer: 865\/89789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 20*n - x = 25, 5 = n - 2*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 10*z**3 + 34*z**2 + 32*z + 8 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 2*f**3 - 1. Let b(l) be the first derivative of l**3\/3 - 5. Determine n(b(i)).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**3 + 560*r**2 + 18231 with respect to r.\nAnswer: 9*r**2 + 1120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*j - 28 = -5*s - 1000*j, -s + 3*j = 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -34. Is -30*(-7)\/((-21)\/t) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72422075 divided by 9725.\nAnswer: 7447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 20 - -19) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) - 276\/(-84). Solve -4*g + 8 = m, 5*m = -a*g + 33 - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (7 - 2))*-1. Suppose 5*o = -4*q + 8, q + o = -q + z. Find the second derivative of -3*t**q + 2*t**2 - 9*t + 11*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a08 (base 13) to base 15.\nAnswer: 124a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 0 = 5*l - o, 0 = -4*l - 0*o - 3*o. Suppose 4*z + 0*p - 3*p - 42 = l, -z = -4*p - 17. Solve z = h + b*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {h: 5, b: 2, p: 3, o: 3, f: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9600144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54)\/189*-418565)\/(1*2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 35*o**2 - 122*o - 26. What is the remainder when 3190 is divided by f(12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 3, s: 4}. What is prob of picking 1 c and 1 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-3)\/(-8)). Let s be 6\/(-2)*(-15)\/(540\/(-48)). Is 3 a factor of -1*(c - (-56)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/57396 and -149\/6?\nAnswer: 57396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -0.08 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 2757 = 1851. Let n = q + 1229. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) + (sqrt(64) - (sqrt(64)*2*1 + sqrt(64) + sqrt(64))))\/(4*sqrt(800) + sqrt(800)) + -1.\nAnswer: -1 - 2*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjvbjbj. Give prob of picking 3 v and 1 j.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 713211072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose v = 4*v + l, -3*v + 3*l = -12. Suppose 2*a = -v + d. Sort a, -5, -2 in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 5. Let h(g) = g - 4. Calculate 6*b(c) + 7*h(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*l**4 - 108*l**4 + 3*l + 226*l**4 - 2*l**4 - 2*l**4 + 3*l**4 + (-2*l**3 + 5*l**3 - 2*l**3)*(-2*l - 5*l + 2*l).\nAnswer: 7*l**4 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -165 (b) 5\/6 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81416 = 3*j - 5*g, 0 = j + 2*j + 2*g - 81451. Suppose 2*f + j = -q - 2031, q - f = -29172. Let k = -122174 - q. Round k to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l + 2500 = -5*p, 4*p + 2*l + 2030 = 0. Let t = -499 - p. Solve -7*w + t = 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34750.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21, 0, 4, -3, 37 in ascending order.\nAnswer: -21, -3, 0, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 2. Let f be m(-1). Suppose 2*n = f*n - 2. Let x(k) = -18*k**2 + k - 2 + k**3 + 31*k**2 - 15*k**n + 2*k. What is x(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.2, -13, -3.4963?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826187 at least 1826187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -4*l - u, -5*l - 7*u + 5*u = 418. Let o be (-3 - l\/30)*-205. Let y be -4*1*(-123)\/4. Calculate the highest common factor of y and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000869841 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 314.307?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 165687378\nAnswer: 165687377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + o - 74*o**2 - 2*o**3 + 74*o**2 as t*o**2 + j*o + s*o**3 + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i - 3. What is s(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 536*i**4 - 4*i**2 - 2*i + 9 wrt i.\nAnswer: 12864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + -1*1 - 248\/(-124). What is the greatest common divisor of s and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237182 is divided by 59293.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Solve -5*b - 3*q = -20, c*b + q - 2 = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 850\/27 in increasing order.\nAnswer: -6, -3, 850\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208968, 417935, 626902?\nAnswer: 835869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b - 3*v + 43800, -4*v = -5*b + 73054. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*m**3*y*z**2 + 1765909*m**3*z**3 + 2*m**2*y*z**2 + 2*m**2*z**3 - 4*m**2*z**2 - 640*m*y*z**3 + 4*m*z**2 + 12*y wrt m?\nAnswer: 150*y*z**2 + 10595454*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 226\/(-4) - (12 + 0 - 8). Let o = 60 + y. Let w(i) = i**3 - 5*i**2 - 2. Let r be w(5). What is the smallest value in r, o, 2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 4*v**2 - 7*v - 6. Suppose -9 = 2*o + 1. Let j be t(o). Put j, -5, 1 in ascending order.\nAnswer: -5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1914 greater than -1914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 + 493888*t - 7407420 = 0?\nAnswer: 15, 123457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p**(2\/17))\/p*p)*p\/(p**(-2\/19)\/p)*((p\/(p\/(p**(2\/3)*p)))\/p*p)\/((p*p**5)\/p))**33 assuming p is positive.\nAnswer: p**(-25003\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 799475 (base 12) to base 7\nAnswer: 22346402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 172*m + 3370. Calculate o(60).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4705 - 4704.9. Let f = 0.3 + -0.6. Which is the nearest to f? (a) y (b) 0.06 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -16\/75, 0.3, -370 in decreasing order.\nAnswer: 0.3, -16\/75, -7, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14125236?\nAnswer: 2, 3, 1177103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*j = 736, 4 = -j - j. Let c be (-16)\/(-12)*l\/(-2). Let d = c + -115. What is the highest common divisor of 56 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1292 and 76.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 46*i - 105 - 48*i as m*i + q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6817, -6820, -6823, -6826, -6829, -6832?\n\"Answer: -3*i - 6814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4624*z**4 + 3672*z**3 + 1719*z**2 - 972*z - 324 = 0. What is z?\nAnswer: -6\/17, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96 + 289)\/((-2)\/8). Let n be (-4)\/14 - (-5)\/(-35)*f. Is 112 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9014645 nanometers to millimeters.\nAnswer: 0.0000009014645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngb. Give prob of sequence gn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*s)*(-7 + 2 + 1)*(15*s + 23*s - 32*s) + 2*s**2 - 13*s - s**2 + s**2.\nAnswer: 50*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -23. Suppose l + 3*u + 20 = 0, 3*l + l = u - 15. Let z = l + 7. Which is the nearest to r? (a) -1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 610488 and 11120.\nAnswer: 6104880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {v: 2, y: 4, j: 2, m: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) -5 (c) 1\/63 (d) -0.4 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/5 - 41853*f**2\/5 - 334968*f\/5 - 670032\/5.\nAnswer: 3*(f - 13959)*(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (90\/450)\/((-36)\/(-910)) and -2 - 119\/12 - -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/23 - 268*y\/23 + 8978\/23.\nAnswer: 2*(y - 67)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -81 + 3\/2*j**2 + 0*j. Let s(l) = 5*l**2. Calculate k(s(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 15*c + 713. Give s(0).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose -11 - 5 = -i*u. Let f(z) = -z**3 + 3*z**2 + 5*z - 6. What is f(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-6 + 3)*-1. Is 7 a factor of 1144\/36 + t\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (11 - 3 - 4). Let g be (m - 3)*(-2)\/8. Let b = -0.18 + 0.1. Is g at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 44*g**2 - 419*g - 21. Determine z(-14).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 23 = -d + i, -2*d = -5*i - 23. Suppose 0 = -b + 7*b. Solve -2*p + d*o + o = b, -2*o = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(26) + sqrt(26) + sqrt(26))*3 - sqrt(936)*3)\/(-3*(sqrt(162) + -3*sqrt(162))*-1).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + d = 266, -4*f = -2*d - 194 - 16. Let j = 162 - f. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -1 + (-19 - -7 - 7) + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:29 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-98)\/21 + 5 + (-1630)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 111 and 121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 830382338 to the power of 1\/2, to the nearest integer?\nAnswer: 28816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2*b**2 + 0*b**2 + 7*b**2 - 27 + 27 + (-b + 6*b - 3*b)*(0 - b + 0) - 2 - 2*b**2 + 2)*(578 - 51*b - 578).\nAnswer: -51*b**3 - 51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37340.983 rounded to the nearest 100?\nAnswer: -37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from ljdjbqu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 352 = 3*i, 264 = 2*i - c + 26. Calculate the remainder when 349 is divided by i.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21275 (base 11) to base 10\nAnswer: 30937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/7 >= -52\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3425 = -6*q + q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(-4))*(4 - 5). Suppose 2*u = f*w + 202, -3*u + 0*u = 4*w + 177. Let k be 2\/3 - w\/9. Solve k = q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 2*y + 12, -2*y = -4*b + 8. Let z be (4 + b)*1 - 2. Suppose 0 = t - 6 - z. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*o**3 - 6*o + 3*o + o - 9596*o**2 - 12*o**3.\nAnswer: -141*o**3 - 9596*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16329.\nAnswer: 3, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324345235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 + 248 = 84*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3227950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 113216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35938 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 372*n**3 - 20*n**2 + 4*n - 362*n**3 + 736*n**3 - 10*n.\nAnswer: 2*n**3 - 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 * 0.6\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26716520 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17017 + 32710. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 3. Let n be q(-2). Suppose -72 = -c - n*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*y + 18, 2*f + 3*y - 10 = f. Suppose 0 = 2*v - 19 - f. Calculate the least common multiple of v and (2\/9*-3)\/(-21 + 21140\/1008).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 324348917\/5 or 64869782?\nAnswer: 324348917\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32457, 64923, 97395, 129873, 162357, 194847, 227343?\n\"Answer: 3*x**2 + 32457*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04751397117 rounded to four decimal places?\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13616 - -3930. Sort 5, j, -4 in increasing order.\nAnswer: j, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -33. Let x(b) = b**3 + 4*b**2 - 2*b - 2. Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7764 + 9372 = -579*j - 373*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68313 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 785*z - 8441. Determine h(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)\/(r\/r**8) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160531*l**2*x**3 + 42134*l**2 + l*x**2 + 9*x**3 - 52 wrt x?\nAnswer: 963186*l**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18. What is the nearest to -2\/5 in -1, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**25*s)\/s))**(-5\/4)\/(s**(-1\/18))**(-48) assuming s is positive.\nAnswer: s**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2007 = -13*p - 122. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 62 = 16*o. Let l(k) = -k**3 - 6*k**2 + 2*k + 7. Calculate l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 11159?\nAnswer: 892720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 690486 or 2071459\/3?\nAnswer: 2071459\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(612) - (sqrt(612) - (sqrt(612) + 1)*-6) - -2*sqrt(612)*2)*-3 + 2 + -5)**2*6.\nAnswer: 5184*sqrt(17) + 133056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13021232201 (base 4) to base 13.\nAnswer: -5084a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-7)\/y))\/(y*y\/(y\/((y*y**(-5\/2)*y*y)\/y))))**(-2\/81)*y\/(y\/y**(-7))*y**(-1\/3)*y**3\/y**(-2\/7) assuming y is positive.\nAnswer: y**(-2414\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(108\/16)*9\/12*6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7932, 7863, 7790, 7713?\n\"Answer: -2*g**2 - 63*g + 7997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15523 (base 7) to base 5\nAnswer: 120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13496 = 38*j - 1564. Let q = j + 320. Solve -c = c - q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -551 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 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: Let g(f) = -f**2 - 3848*f + 23122. Calculate g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4)\/(sqrt(2)*2) - sqrt(16)\/(sqrt(48)\/sqrt(6)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*f + 1625 = 1011 - 1410 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698758.\nAnswer: 2, 349379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 642657\/330980 - -4\/6365. Calculate the common denominator of u and ((-25)\/(-2000))\/(1\/366) + -3.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 18*v**2 + 5*v - 28. Is 128 a factor of c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*-1715.\nAnswer: 84.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n - 5*c + 3166 = 0, -788 = n - 3*c. Let d = 783 + n. Which is smaller: -114\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 4*r**2 + 4*r - 3. Let n(a) = -59*a**3 - 3*a**2 - 11*a + 51*a**3 + 14*a**2 + 10. What is -11*h(l) - 4*n(l)?\nAnswer: -l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959326817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71886, -141437, -210988?\n\"Answer: -69551*l - 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)\/(i*i**11*i)*i\/(i\/((((i**(-2\/29)*i)\/i)\/i)\/i))*i**(-5\/4)*i)**(-49) assuming i is positive.\nAnswer: i**(98441\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11064310 divided by -22955.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 373583792 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 - 2 = 0. What is the first derivative of u*k - 7*k - 6*k + 7 + 1 wrt k?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 586*g - 1587*g + 0.\nAnswer: -2173*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h**2 - 103*h**2 + 53*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**7\/105 - y**6\/75 + 12*y. Factor b(d).\nAnswer: -2*d**4*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 2*h**5 + 0*h**5 + (9*h**3 - 11 + 11)*(h**2 + 1 - 1).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*f - 1076*f - 18 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 14. Let s = p - -84. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 317954427.\nAnswer: 317954426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/180*5*(-1)\/((-88)\/12)*1. Let z = 6 + -5.7. Let o = -1.5 - -2. Sort -1\/4, t, o, z in descending order.\nAnswer: o, z, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*s - 179*s + 52*s - 68*s)*(4*s**3 - 4*s**3 + 2*s**3).\nAnswer: -518*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + 16*y**2 - 3. Let t(g) = 24*g**3 + 94*g**2 - 17. Determine -34*f(z) + 6*t(z).\nAnswer: 8*z**3 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*d - 3*u, -4*u = 3*d - 0*u - 50. Suppose 5*p - 71 = -4*h + 8*h, 0 = -p - 3*h + d. Suppose 7*n - 69 = p. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - w**2 + 1. Let b be o(-1). Differentiate -14*g**b - 45 + 99 - 43 wrt g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*m + 81 = 3*m, -2*q = -4*m - 42. Let b be -1*2 + (-14)\/2. Let i be 12 + b\/(-3) - 0. What is the highest common factor of i and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -33. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7*m = 4*m + 35, f + 4*m = 25. Let k be (-3)\/(-2 - f\/(-4)). Suppose a - 34 = -5*l + 36, 5*l - k*a = 45. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.091249661 + -0.018749751. Let v = y + 2.11. Round v to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -8*s - 120. Let u be s\/4*-1 + 3. Solve c + 2*h = 6*c + 11, 0 = u*c + 3*h + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 + 1. Let q(h) = -20*h**3 + 4*h**2 + 4. Suppose -b - 3*n - 2*n - 16 = 0, -3*n - 28 = -4*b. Calculate b*l(o) - q(o).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 221, 36, 0, 3, 1 in ascending order.\nAnswer: -128, 0, 1, 3, 36, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/206125 and 89\/109125.\nAnswer: 1855125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 74*a - 66 - 75*a + 148*a as b + w*a + m*a**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15352 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -4004\/71?\nAnswer: -4004\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2. Let k(a) = -7*a - 12652. What is k(b(n))?\nAnswer: -70*n**2 - 12652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17504592 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2, 9.4833423?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + (-2)\/70*-50 + (-1884)\/231?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 21207217*x + 42414438.\nAnswer: -(x - 21207219)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y - b = 903421, 0 = 3*y - 3*b - 903411. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.6576 - -0.6186. Let n = u + 0.039. Let t = -36 - n. What is the second smallest value in t, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4441368 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - 1\/1*1. Let w = 40 + a. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 19 - 35 = 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/4 + 2*j**3\/3 + 5*j**2\/2 - 17. Determine l(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Suppose 0 = 5*q + 3*f - 198, t*f + 54 - 136 = -2*q. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98475746 rounded to three decimal places?\nAnswer: 0.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 177*d - 6997. What is w(115)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((4\/(-1460)*-5)\/(-1)). Suppose -b = -3*o + 210 + x, -o = 3*b - 257. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - -4) + (0 + 0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 19 = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -451, -444, -423, -382, -315, -216?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 71, 105?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {f: 2, m: 2, a: 1, d: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 126219685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 176*p**2 - 4. Let r(m) = -4*m**2. What is -b(k) - 8*r(k)?\nAnswer: -144*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17034, -17068, -17126, -17208, -17314, -17444?\n\"Answer: -12*w**2 + 2*w - 17024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:00 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1276604587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5133 + -5127. Solve 9*m = g*m - 2*b - 2, -4*m = 2*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1908*z**3 - 5691*z**2 + 115*z**3 + 4688*z**3 - 34 + 34 wrt z.\nAnswer: 40266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 14. Suppose t + y + 0 - 10 = 0, t - 5*y = -14. Give j(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhnnhhhnxhhhhhh. Give prob of picking 1 h, 1 x, and 2 n.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:25 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-48)*(1 + -4). Let n be (2\/(-4))\/1*-2. Let q be 0 - 3*(0 - n). What is the third smallest value in i, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-2)*2\/(-3). Let l(r) = -r**2 + 10*r + 5. What is the units digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzo when three letters picked without replacement from {x: 5, w: 4, z: 2, o: 4, g: 2, v: 2}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.39 + -20.9. Let k = u + -1.93. What is k rounded to one dp?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45456200 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9731 + 9731.05. What is the nearest to -2\/5 in 0.08, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377212789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2334919\/10 - -233276. Let z = 213 + y. Calculate the common denominator of -21\/11 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 464.9 + -465. Let m = 12 - -14. Let s = m - 18. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -4\/1459?\nAnswer: -4\/1459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 4\nAnswer: 159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 225 - 446?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*d = -30, -12*d + 11*d + 161 = 5*j. What is the remainder when 156 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/81)\/((-2)\/12). Let m = -5.4 + 5. Put c, -5, m in decreasing order.\nAnswer: c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*v = 4, -2*v + 7 - 18 = -f. Solve -t = 3*s + f, s + 11 = 2*t - 0*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 5*q - 7, -2*g + 26 = 5*q. Suppose 15 = g*w - 5*t, 4*w - 42 = -3*t + 7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -18*t + 4. Let p be (0 - t)*(-7)\/(-14). Suppose -4*o - p*x + 14 + 12 = 0, -4*o = -4*x - 8. Solve o*r = 10, 3*c = 2*c - r - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g + 342. Give h(23).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.760669318 to 4 decimal places.\nAnswer: 1.7607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 6 (c) 2\/11 (d) 917 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.9 + 47. Let b = -551\/21 + 83\/3. Let g = 47\/28 - b. What is the third smallest value in g, -4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18726 by -37.\nAnswer: -18726\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27515 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -492.9?\nAnswer: -492.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4403\/6 - 734. What is the closest to 4 in y, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2675*u - 143. Is q(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8809756 divided by 7\nAnswer: -8809756\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -880*q**2 + 33*q. Let g(r) be the second derivative of 55*r**4\/12 - r**3\/3 + 702*r. Give -33*g(b) - 2*m(b).\nAnswer: -55*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(252)*2*-4)\/sqrt(4))*3.\nAnswer: -72*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q**3 + q**2 - q + 1. Let m be y(1). Let c = 12 - m. Suppose -f - 4*f - 5*n - 10 = c, -4 = -4*f + 2*n. Solve k + 2*k = f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 45 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 2 - -99) + (5 - 16 - -9) + 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 1, k: 1}. What is prob of picking 1 o, 2 x, and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.927 - -1.84. Let o = -0.08444 - v. Round o to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231.6599 - -155.663. Let z = m + 76. What is z rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -40*j + 3251. Let a(z) = -22*z + 1622. Calculate -11*a(m) + 6*o(m).\nAnswer: 2*m + 1664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**5\/480 + q**4\/64 + 5*q**2\/2 - 2*q - 16. Let c(h) be the second derivative of x(h). Suppose c(v) = 0. Calculate v.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1414 + 4136 = 0. Let o = k - 118. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189329?\nAnswer: 7, 17, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25524375 divided by 25?\nAnswer: -1020975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o - 5. Let m(a) = -6*a - 2. What is 5*m(x) - 2*w(x)?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g**2 + 2*g)*(-g - 20 + 20)*(-2*g + 4 - 4).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000095223601 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031302 plus -0.286?\nAnswer: -0.317302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*g + 64. Suppose 0 = -3*p + 5*r + 32 + 77, -g*p = 3*r - 41. What is the smallest common multiple of 5 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/(-5))\/(3976\/(-665) - -6) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -413*-0.3\nAnswer: 123.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + (1 - (-4 + 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -87*x**2 + 6*x + 11. Let c(v) = 62*v**2 - 4*v - 8. Calculate 5*a(h) + 8*c(h).\nAnswer: 61*h**2 - 2*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 23*m**3 - 5657532*m**2 + 257788059*m.\nAnswer: -12*m**2 - 138*m - 11315064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -517\/12678?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*b - 28, 0*w + 2*w = 3*b - 23. Sort 4, 0, -2, w.\nAnswer: w, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 87. Let o(p) = p + 29. What is the remainder when 459 is divided by o(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589 (base 12) to base 3.\nAnswer: 1010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338482.\nAnswer: 2, 169241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b - 54*b + 198 = 0. Suppose b = 6*t - 111. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1950 and 53\/43680.\nAnswer: 218400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173316713 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + d)*(2*d - 2*d + 2*d) + 0*d**2 - d**2 + 2*d**2 + (-2*d**2 + 0*d + 0*d)*(196 + 298 + 591).\nAnswer: -2171*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6468714722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 117?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 558309262 >= 558309261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 44 = n. Suppose 0 = -2*d + 35 + n. Suppose -l - 5 = 4*y, 3*y + 52 = 4*l - d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 11*d - 5 - 16*d)*(-403*d + 27 + 26 - 52) to q + l*d + a*d**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 395288 or 396147?\nAnswer: 396147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose 0*i = -c*i + 8. Solve i*b = 3*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/32)*(j*j*j**(-9\/5)*j*j*j*j)\/j**(-3) assuming j is positive.\nAnswer: j**(1157\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**3 - 4*d**2 + 5*d - 1. Let h be c(1). Solve h = 9*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 41*j - 40. Is 95 a factor of h(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -3*c**4\/8 - 307*c**3\/2 - 17556*c**2 + 35574*c + 1853. Let d(r) = 0. What is r?\nAnswer: -154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.095, -5, 0.11, 0, -768?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(9\/2))\/((v*v**(-7)\/v)\/v))**(-4\/9)\/(v*v*v*v\/v**(2\/9)*v*v\/(v*v**7*v))**(-15) assuming v is positive.\nAnswer: v**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 9:50 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22326083, 22326090, 22326097, 22326104, 22326111?\n\"Answer: 7*j + 22326076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*n = 56, -c + n = 19 - 32. Suppose 4*x - 3*u - c = -6, 1 = -x + 2*u. Solve 4*t + 6 = 5*d, x*t + 0 = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -225 - (-4 - (3 + -10)). What is l rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/39 and -76\/173853?\nAnswer: 2260089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1568, 1565, 1562, 1559?\n\"Answer: -3*x + 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1035 (c) 4 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/84 and 41\/15?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 540. Let l(f) = -41*f. Give l(g(j)).\nAnswer: -41*j + 22140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(0 + (-6)\/4). Suppose -2*q = -x - 4*x + 13549996, 4*x + u*q = 10840006. What is x rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 406, 0, -5, 2\/41?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Solve -p = p - 4*d - 16, -a*d - 9 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**6\/6 - 29*q**5\/5 + 136*q**3 - 933. Find the third derivative of m(z) wrt z.\nAnswer: -60*z**2 - 696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*f - 15. Suppose 0 = f*m - 115 - 38. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 443693900 to the nearest one million.\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-35)\/14*(-16)\/10. Solve 0*y - b = 3*y - u, -4*y - 5*u = 37 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(126)\/sqrt(2) + 2 - 5*((sqrt(847)*1 - sqrt(847))**2 + -2).\nAnswer: 3*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + 5*sqrt(2448) - 5*(sqrt(2448) + 4 + sqrt(2448))).\nAnswer: 110 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - 109 - (-43 - 80).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -189*q + 2073. Let d be w(11). Let a(v) = v**2 - 4*v + 3. Let n(g) = 3*g**2 - 7*g + 7. Let i(p) = -5*a(p) + 2*n(p). Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 457*t + 110621. What is v(-242)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11*r + 1225 = 0. Let s = -170 - r. Solve 0 = v + s - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 1495?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 3 = 12*q. Which is bigger: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4846 = 2*g - 3088. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8995?\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let b(w) = 11*w + 192. Let t be b(-9). Let v(x) = -89 + 16*x + t - 17*x + x**2. Give v(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - n)*(-2*n**2 + 343477 - 343477 - 93*n).\nAnswer: 2*n**3 + 93*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d = 136*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/65)\/(145\/725)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*f + 21472, 0 = 31*f - 36*f - 15. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9756 < -9757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 760.83 + -756. Let u = v + -4.7. Is u equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 214 and -644383756833.\nAnswer: -644383756619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**4 - 2*o**3. Let x(r) = 55*r**4 + 4*r**3 + 73. Let w be 1\/(5 - 9) - 6\/8. Let v(f) = w*x(f) - 3*c(f). Differentiate v(m) with respect to m.\nAnswer: -232*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -42. Let q(l) = 3*l**2 - 10*l + 3. Let b be q(z). Sort b, -1\/10, 13 in decreasing order.\nAnswer: 13, b, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.259051 kilograms to micrograms.\nAnswer: 7259051000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/19))**(2\/9) assuming p is positive.\nAnswer: p**(2\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -8340\nAnswer: 137\/8340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Suppose 4*h = -5*y + 340, w*h + 226 = 3*y - 0*h. Suppose -3*v + y = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 153 - 159 = 0. Suppose 0 = -k*x - 2*r + 7, -2*x - 13*r = -10*r + 2. Let o = 1.2 - 1. What is the nearest to 1 in 0.5, o, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:48 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -3*m - 29*j + 30, -3*j - 12 = 0. Let u(b) = -2*b**3 + 26*b**2 + 27*b + 20. Calculate u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 30*p**3 + p**2 + 17*p + 123. Give s(-2).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 298, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 24*d**2 + 3*d + 28. Let y be n(-12). Let h(j) = j**2 + 10*j + 1. What is h(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1695 and (-277 + 2)*(918\/(-30) + 30)?\nAnswer: 18645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(1\/9)*(r*r*r**3)\/(r**(-3\/5)*r*r)*r**0*(r\/r**(6\/7))\/r*((r**(-4)*r)\/r)\/(r*r\/r**0*r) assuming r is positive.\nAnswer: r**(-149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71449 and 1652.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84083 + 252367 - 84195 - 84089 + 14*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151 or -2125\/14?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Give w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -16 + -23 - -20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-218)\/6)*(-10 + 273\/12)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 1124*q - 1132*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 9) to base 3.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 86*z + 127. Let w be v(-30). Solve -w*r = 4*r + 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 418.7 and 11547631?\nAnswer: 11547212.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -17. Let g = -64 - -72. Solve -g*r = -11*r - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16188355 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/12 - -3)\/(9\/(-504)). Let u be (2 - -4)\/s - (-29)\/7. Is 29 a factor of (1\/u)\/((-5)\/(-620))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40100, 40271, 40740, 41657, 43172, 45435, 48596, 52805?\nAnswer: 58212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 2, i: 3, b: 1}. What is prob of sequence tift?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(2\/(-2 - -3)). Let i(s) = -s**2 - 6*s. Let p be i(-5). Sort q, p, -5 in ascending order.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 54)\/(-7)*2\/7. Is -2 - -10133 - 3\/((-3)\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1.8755638.\nAnswer: 4.8755638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, 20, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1079074091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311789233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {h: 2, q: 4, x: 4, o: 2, p: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -63, -67, -71, -75?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154824 or 154652?\nAnswer: 154652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 740823*l**3\/8 + 185205*l**2 + 740811*l\/8 - 3\/4 = 0.\nAnswer: -1, 2\/246941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s**(2\/7)*s)\/(s\/(s**(1\/3)*s))**45 assuming s is positive.\nAnswer: s**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 - 21557?\nAnswer: -21612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103\/70 + -15\/14. Sort -3, y, 3, -3\/8 in increasing order.\nAnswer: -3, -3\/8, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 22*v**2 - 15*v + 16. Determine j(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -5803565414.\nAnswer: -5803565413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -33*o - 48. Determine i(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 240.9514*-0.4\nAnswer: -96.38056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**4 + 2*q**4 - q**4 - 3*q**4 + 11*q**4 - 4*q**4 + q**4 - 3*q**4 + (0*q + 0*q - q)*(q**3 + q - q) - 2*q - q**4 + 2*q.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 392776157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:45 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 1577273.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 66*y - 12. Let f(v) = 29*v**2. Calculate f(w(o)).\nAnswer: 126324*o**2 - 45936*o + 4176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046 rounded to 5 decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -11 + 2)*-2. Put -0.2, 3, -2, u in decreasing order.\nAnswer: 3, -0.2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.33131 + -3.96527?\nAnswer: -8.29658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2, -0.2, 2393, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 37. Let p = 95 + f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172553028 + 172553028 - 909*s**3.\nAnswer: -909*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.139 times -59.88\nAnswer: 8.32332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*f = 310*f - 160. Solve 9*u - f = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = 24. Let t(f) = -f**3 + 5*f**2 + 5*f + 5. Let d be t(n). Let o = 19.36 + -19.76. Which is the third biggest value? (a) o (b) -2\/13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + d**2 - 6*d + 3. Let l be c(4). Let k = l + -55. Calculate the common denominator of -58\/33 and k\/18*288\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*a**2 - 552*a**2 - 708*a**2.\nAnswer: -1802*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 16) to base 15.\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, 37 = 4*s - 3*s - 4*i. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -27. Let h = 14.6 + -3.54. Let i = h + t. Round i to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose -c = -3*v + 67, k*c - 3*c = -2*v - 110. Let y = -57 - c. What is the smallest value in y, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from sjijimjijisjjdddm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27666?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 - 6*p + 5. Let c be d(5). Suppose h + 3*h - 52 = c. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36021402 + -5?\nAnswer: 36021375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1366284 and 9?\nAnswer: 4098852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**6 + 52*d**3 - 138*d**3 + 1619*d**2 + 4014*d**2 + 9*d**3 wrt d.\nAnswer: 600*d**3 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5411 + 6878. List the prime factors of r.\nAnswer: 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 0.6, -6\/317 in decreasing order.\nAnswer: 3, 0.6, 0, -6\/317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n\/(n\/(n*n*(n\/n**(-3\/13))\/n*n)))\/n)\/n*n)\/n)**(-19)\/(n**11\/(n**(-1\/18)*n)))**(3\/2) assuming n is positive.\nAnswer: n**(-12271\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33315 - -33316. What is the nearest to -0.107 in 5\/2, -5, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3\/2 + 1281*y**2\/2 - 17661*y - 80988 = 0.\nAnswer: -4, 34, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -2\/3, -5, -0.4, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158935351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q. Let b(m) be the third derivative of 11*m**5\/60 + 9*m**2. Determine b(y(c)).\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1825*k**4\/4 - 370*k**3\/3 + 8. What is the third derivative of f(u) wrt u?\nAnswer: 10950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 1350*n**3 - 4*n + 439*n**3.\nAnswer: -911*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37569845 by 9.\nAnswer: -37569845\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 1\/150*o**6 + 0*o**3 - 3*o - 1\/50*o**5 + 0*o**2 + 1\/60*o**4 + 0. Factor d(j).\nAnswer: j**2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(-4*q**2 + 3*q**2 + 2*q**2)*(-96*q - 66*q - 34*q).\nAnswer: -196*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28610453.\nAnswer: 1217, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 5*x - 4. Let f(z) = -3*z**2 - z + 4. Let r be f(-2). Let s be q(r). Solve -4*o - 40 = s*h + 2*h, -5*h - 5 = -4*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 3*q**2 - 2*q - 2. Let s be (4\/(3 + -5) - -5)*1. Give p(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paxdaxaxzxpopx. Give prob of picking 1 z and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6896*c**4 - 2391?\nAnswer: 27584*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n*n**5)\/(n*n**(2\/3)*n*n**(-8)))**(-2\/17) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*o - 2*h = -136, -2*h - 99 = 2*o - 43 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 21779.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1632 - 5588 - 3*h + 426.\nAnswer: -3*h - 6794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (14 - (30 + -13) - (1 + -6 - 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83966 or -84807?\nAnswer: -83966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5\/5 + 36*j**4\/5 + 24*j**3 + 184*j**2\/5 + 132*j\/5 + 36\/5.\nAnswer: 4*(j + 1)**3*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 769790, 769565, 768948, 767741, 765746, 762765?\n\"Answer: -33*y**3 + 2*y**2 + 769821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*z - 185, 4*p + 2*z - 177 = -z. Calculate the remainder when p is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 222*x**3 + x**2 - 2. Let h be v(1). Suppose -h + 1213 = 4*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - (0 - 0)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1\/3 + 0*t**3 + 0*t - 2\/3*t**2 + 1\/3*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 159829122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-1))\/y*y*y)**(1\/11)*((y\/(y*(y*y\/y**(-3\/4))\/y)*y)\/y)\/(y*(y*y**(-5))\/y))**(-6\/5))**(-30) assuming y is positive.\nAnswer: y**(927\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 402352 = -4*h, 4*h - 3*p = -p + 402342. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 + 2*d**2 + 167 + (-3*d + 4*d + d)*(-3*d + d + 0*d) as u*d + j*d**2 + v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:28 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-1)\/(-3))\/(-1)). Let f(w) = -w**3 + 39*w**2 - 193*w - 27. Let x be f(6). Solve -x*u - 1 = 3*n + 2, -12 = -l*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*d = 355, -193 = -4*g + 5*d + 87. Let x = -58 + g. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58588, 58739, 59144, 59929, 61220, 63143, 65824?\nAnswer: 69389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 276901.2 hours?\nAnswer: 11537.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 84 + 140. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85620 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(117))**2 + sqrt(13) + sqrt(26)\/(2*sqrt(2)) + sqrt(78)\/(sqrt(60)\/(-2*sqrt(10))).\nAnswer: -sqrt(13)\/2 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - 4)*1*(-33869)\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-420))\/(48\/(-56)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -354*f + 357?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 92*t**2 - 94*t + 97. Suppose 0 = 2*h + q + q - 662, 3*h - 5*q - 953 = 0. What is the least common multiple of p(93) and h?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(-30 + 6). Let c = g - 9. Let x be (-1 + 2)\/(2\/6). Calculate the highest common factor of c and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -25*a - 3*u - 0*u, 2*a = -5*u - 6 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -10, 0.4, -1\/17, 0.28 in decreasing order.\nAnswer: 12, 0.4, 0.28, -1\/17, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 107*g - 374*g = 205*g - 34944 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789 > 5791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 3, a: 1, d: 2, h: 6}. Give prob of sequence rdah.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or -1255.371?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - 27\/(-5). Suppose -o*j = -0*j - 35. Suppose -352 = j*h - 1346. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101001111000111 - 1001011?\nAnswer: 101101001101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.687 - -0.313. Does -0.09 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 73. Suppose w*u = -2*k + 1621, -k - 4042 = -6*k - 4*u. Let p = k + -469. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2. Let s(b) = 60432*b**2. What is s(u(k))?\nAnswer: 6043200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7543\/63 + -1273\/9. Let j = u - -3510\/161. Let n be (-9)\/(-11) + 6\/33. What is the third smallest value in n, -2\/15, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - 3*v**4)*(3 - 1 + 0 + (-3 + 0 + 2)*(-1 - 1 + 0)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*i + 474*i + 8591 = -148*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23554283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiddiiiidiii?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16\/7 (b) -0.2 (c) 5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 15 = -2*o. Let h = o - 27. Solve h*t - 25 + 65 = -5*a, 4*t = 5*a + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 s when three letters picked without replacement from ununnsssasn.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1615 + -1614)\/(1*(2\/(-453))\/((-2)\/(-3))).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 31*p + 29. Determine q(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -102 (b) 5 (c) -2\/9 (d) 111 (e) 0.3 (f) 1\/4 (g) -48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19551 + 154?\nAnswer: -193db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/60 + j**4\/3 + 2*j**3\/3 + 3*j**2. What is the units digit of i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12040111433 - -23?\nAnswer: 12040112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38214 + -22314. Suppose -82*q = -57*q - r. What are the prime factors of q?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7219 + 7224. What is the closest to -1 in -0.4, 2\/15, s, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43755, 87507, 131259, 175011, 218763, 262515?\n\"Answer: 43752*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1710492 and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194 is divided by 94.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*i - 1458, -7*z - 5843 = -11*z - 3*i. List the prime factors of z.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**7\/105 + z**6\/60 - z**5\/10 - z**4\/12 + 2*z**3\/3 - 2*z**2 + 4*z. Factor p(i).\nAnswer: 2*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - 96) + (14 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3964193255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let w be (1 + -2)\/(2\/6). Let j(a) = 7*a**2. Let x(p) = -6*p**2. Let v(n) = w*x(n) - 2*j(n). Give o(v(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1843.28 (b) 1\/2 (c) -2 (d) 65 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 462. Let l be ((-2)\/18)\/((-7)\/f). Let r = l - -23\/7. Find the common denominator of r and 19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 81 + 9. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c7 (base 14) in base 6?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -233 in descending order.\nAnswer: 2, 1, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 20, 163.\nAnswer: 0, 1, 20, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8626279*z + 4313148*z - 14*z**2 + 4313131*z.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -336123350656 and 7.\nAnswer: -336123350649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22781078 is divided by 3564.\nAnswer: 3554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 7\/2)*-2. Let j be -7 + 7 - 3*h. Sort j, -2\/25, -4 in descending order.\nAnswer: -2\/25, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385612*f + 383086*f + 383083*f - 1151778*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3\/10, 33, -2 in descending order.\nAnswer: 33, 3\/10, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8016 + 8016.7. What is the fifth biggest value in -1\/8, 0.01, n, 0.3, 2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1661 + 1979. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 2 = -y, 9*y - 11*y + 17 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, 2, 24, 6 in descending order.\nAnswer: 24, 6, 2, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 21*k**2 - 6. Let j(h) = -h**3 + h**2 - h - 2. Calculate 3*j(t) - q(t).\nAnswer: -t**3 + 24*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.1 (c) -0.6 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4277 smaller than 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 8. Let s be (-26)\/(-12) - (-235)\/282. Calculate n(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3\/8*o**2 + 105\/2 + 417\/8*o = 0.\nAnswer: -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -44*j + 24. Let x(f) = 145*f - 275*f + 139*f - 5. Give -24*x(c) - 5*z(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/16))\/z**(21\/2) assuming z is positive.\nAnswer: z**(-153\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37953 in -2\/15, -2\/7, -1, 4, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-26) + 368594\/221. Suppose -16*j + 14*j + x = 0. Is 54 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17605 and 1400?\nAnswer: 704200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4\/4 + 12540*d**3 + 351325*d**2\/4 + 100410*d - 200780 = 0. Calculate d.\nAnswer: -4, 1, 10039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11*3\/(-9))\/(12\/(-36)). Suppose 84 = h*q - 136. Is 19 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 45 = -1163. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/5304 and 59\/364.\nAnswer: 37128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-11 + 8 - -7 - 11)) + 1 + -36.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.38927 months in decades?\nAnswer: 2.28657725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876 is divided by 475.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + v + 4*v - 22, 0 = -2*v + 4. Suppose 47 = l*q - 37. Put -5, 1, q in descending order.\nAnswer: q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30290852.5 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 z when four letters picked without replacement from {z: 12, v: 6}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 - t**4 - t**4 + (2*t**3 + 3*t**3 - 7*t**3)*(0*t + t + t) - t + t - 5*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 7 = -4*y. Let n = 6 - 4. Let j = -5.4 - -4.9. Which is the third smallest value? (a) y (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.705+4093315\nAnswer: 4093336.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:31 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (9 + -3 + -10)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + 21*u**2 - 9*u + 10. Let c be r(5). Does c = -57\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -0.029?\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:44 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from sssrssssrssrsss?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/8 + (-4)\/16. Suppose 5*x + b + 2*b - 320 = 0, -3*x + 2*b + 192 = 0. What is the greatest common divisor of x and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -3*p**6\/20 + p**5\/30 - 15*p**3 + 3*p**2 + 9*p. Differentiate f(k) with respect to k.\nAnswer: -54*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 - 0 - -151. Suppose 4*j + 44 = f. Suppose 3*q - 79 = -5*t, 4*q = 5*t - 13 - 45. What is the remainder when j is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 936868 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 2081 + 4245 - 2164.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*m + 526*m = -288 - 242 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5601, 22325, 50177, 89157, 139265, 200501, 272865?\nAnswer: 356357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*g - 0*g - 22441, -2*g - 6*f + 11198 = 0. What are the prime factors of g?\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 24 - 36 = 0. Suppose x - t - d - 1 = 0, -4*x + 28 = -2*t. Solve -x + 2 = o, 3*h - 2*o - 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z - 6. Let v be q(7). Suppose -3*g + v = g. Let t be 4 - 2\/4*0. Solve -t*j = g + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejzjejzpe. Give prob of picking 1 e, 1 j, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35034048 and 2085360?\nAnswer: 175170240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 6, p: 4, g: 1, u: 1, o: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(3*d**5 + 0*d**4 + 0*d**4 + (3*d**2 - 3*d**2 - 5*d**2)*(-d**2 + d**2 - 2*d**3) + 4*d**5 - 2*d**5 - 4*d**5).\nAnswer: -33*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-9)\/135*2*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilmdkwm. What is prob of picking 1 d and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose i = 2*g - 4 + 8, 2*g + w = 3*i. Solve i = m - 0*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**4\/8 - x**3\/2 - 3*x**2. Let d(k) = -k - 17. Let n be d(-15). Let r be (3 - 95\/25)\/(n\/(-5)). What is q(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 897840.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 13*c**2 - 4*c + 18. Let d be l(9). What is the highest common divisor of 34 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 2*i**2 + 4*i + 7. Let l be r(-3). Let a(f) = -8*f**2 + 5*f + 5. Let v(g) = -g**2 + g + 1. Let j(t) = l*v(t) - a(t). Calculate j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 12*j**2 + j - 17. Let w be b(12). Let c = w - -8. Put c, 4, -2 in decreasing order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Suppose 0 = 2*v - 4 - d. Suppose -5*c + 44 = -v*w + 6*w, -4*w = -2*c - 16. Solve -2*q - w = 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -888 - -2756. Let p = -564 + y. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 7*t + 13*t - 7*t.\nAnswer: 13*t - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4.7 (c) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181927 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 13. What is the greatest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = -3*j, -4*j + m - 5*m = 0. Let w(d) = 5*d - 2. Let g(p) = -11*p + 5. Suppose -2*z = -14 + 2. Let c(q) = z*g(q) + 13*w(q). Determine c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajcvlplj. Give prob of sequence ap.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(8\/((-16)\/4)). Suppose -3*b + c + 0 = 0. Find the second derivative of -m**b + 10*m + 0*m**2 + 0*m**2 - 11*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (-4 - -5 - 0). Suppose -4*g + 5*v = 34084 - 12234, h = 5*v. Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961377694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13765 is divided by 314?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -225. Calculate the lowest common multiple of a and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -109288\nAnswer: 5\/109288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08234 + -0.05317. Let p = -11 + 10.97. Let q = r + p. What is q rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.08, -7, 0, -320?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 12*q**2 - 14*q - 2. Let n(y) = -y**3 + 11*y**2 - 13*y - 1. Let u(m) = 4*c(m) - 5*n(m). What is the remainder when 29 is divided by u(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81738.7 decades?\nAnswer: 9808644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754*b**2*s**2 + 2*b**2 - 9*b*s + b - 521*s**2 wrt b.\nAnswer: 1508*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 47 + 348 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -196*c - 10. Let j(k) = 28417*k + 1448. Give 724*i(m) + 5*j(m).\nAnswer: 181*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 791, 819, 837, 839, 819, 771?\n\"Answer: -z**3 + z**2 + 32*z + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 (base 14) in base 16?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + m - 32 + 29)*((-2 - 2 + 2)*(-1 + 2 + 1) - 4 - 1 + 4)*(7*m + 0*m - 3*m).\nAnswer: -20*m**2 + 680*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -75. Which is the closest to 0? (a) o (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Let z = 10 - q. Differentiate -216 - 3*s**z + 209 - s**4 wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/1443)\/(3\/(-36)). Let i = q - -5\/148. What is the third biggest value in i, -0.5, 1\/14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36094446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3 (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**12*i*i)**37 assuming i is positive.\nAnswer: i**592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0 + 1\/2*b**5 - 9*b + 0*b**4 - b**2 + 0*b**3. Find the first derivative of i(s) wrt s.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288 + 286 - 5*x + 287 - 861.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 48\/7 - 2\/7*f**2 - 4\/7*f = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032579901 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgvex. What is prob of sequence zxev?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by ((-48)\/5)\/((-18)\/180)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 13 = 194. What is the remainder when x is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 23 + 48 + 3 + w**2 - 18.\nAnswer: w**2 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, c: 11}. What is prob of sequence ggc?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3\/8, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 68 - q + q - q.\nAnswer: -2*q - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427792 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -14*c + 9*c - 65, 75 = 5*j - 5*c. Suppose x = -3*y + 37, 6*y + 116 = 4*x + j*y. Calculate the greatest common factor of x and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*j - 732 + 1812 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78 minus 16798258?\nAnswer: -16798258.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 + 188. Sort -8, -1, j in ascending order.\nAnswer: -8, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 3*y**2 - y - 3. Suppose -3*a = -0*a - 12. Suppose 21 = a*z - 35. Let s(m) = 5*m**3 - 7*m**2 + 2*m + 7. What is z*p(c) + 6*s(c)?\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*y - 36*o**3 - 2*o**2 - 9*o*y wrt o?\nAnswer: -12*y - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 116*k - 7. Calculate the remainder when h(16) is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from {d: 2, i: 1, x: 2, t: 1, j: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q)**(-26\/5)*(q*((q**0\/q)\/q)\/q)**(1\/44) assuming q is positive.\nAnswer: q**(853\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130, -264, -396, -520, -630, -720, -784?\n\"Answer: h**3 - 5*h**2 - 126*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/8 - 17*n**3\/6 - 567*n**2. What is m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.47 in -501\/8, -1, -0.1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -369, -3, 2.\nAnswer: -369, -17, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Suppose 11*a = 18*a + 14. Give s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 86\/17?\nAnswer: 86\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 57809, 3.\nAnswer: 3, 4, 57809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 383742*p + 383739. What is v(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-51)\/12 + 5)*4 - 0. Calculate the common denominator of n\/(-1)*1175\/750 and 31\/308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455.7198915 to the nearest integer.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + -13.6. Sort d, -2\/7, 0 in increasing order.\nAnswer: d, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p + 96 + 372 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3\/5 + 3*d**2 - 24*d\/5 - 36\/5 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 2 = 14*c, 3*c = -k - c - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-492)\/54 - -8) + (-11512)\/(-198) + (-102)\/3366.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16810?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -414. What is the fourth smallest value in 2, 1, 0.2, 5, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 7*t + 1. Calculate d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3228.7146779 - 3430.714524. Let f = g + 202. Round f to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let p be o(1). Let a be (-4 + p)*(-2)\/(-26). Let i = -0.004 - 4.996. What is the second biggest value in 2, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402*t**3 - 40*t**3 + 3*t**3 + 4 - 5.\nAnswer: -1439*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*n + 14 = 316*n + 3. Let g(t) = -24*t**3 - 16*t - 16. Let a(o) = o**3 + o + 1. What is n*g(r) - 16*a(r)?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 25596 = -194626. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -13 (c) 3\/11 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16462159 to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 260*d - 189*d + 2769 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*l + 8*l + 3*l - 340*l.\nAnswer: -774*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*j + 16, -7*j = -3*m - 3*j + 29. Put 2, 1, -1, m in descending order.\nAnswer: m, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1992 + 8?\nAnswer: 199a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-12)\/(-90))\/(112\/(-140)). Let s(n) be the first derivative of i*n**2 - 15 + 0*n. Let b(g) = -10*g**2. Calculate s(b(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625, -10489, -23601, -41967, -65593, -94485, -128649, -168091?\nAnswer: -212817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -6605, 1, -1 in descending order.\nAnswer: 3, 1, -1, -11, -6605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2208 and 184.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*h + 106, -2*q + 6*q - 193 = 5*h. Let a be q\/4*12\/(-7). Let f = 5 - a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, 2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - z**3 + 3*z**2 + 0 - 2*z**2 - z**4 - 1. Let b(j) = -j**2 - j - 1. Let l(v) = b(v) - s(v). Find o, given that l(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23798 - 84724 - 64775 + 19533)*(2*j + 1 - 1)*(3 + 2 - 3) to the form m + k*j and give k.\nAnswer: -424672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -200. Let k = -24.5 + n. Sort 8\/11, k, -1 in ascending order.\nAnswer: -1, k, 8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 1020 = 0. Suppose -48 = -3*k + w. Suppose -4*a + 11*g = -100, 4*a - 87 = g + 93. Calculate the remainder when k is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 59) + (427 + -449 - (-4 + -18))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8222 (b) -0.3 (c) -2 (d) 0.1 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 4.4, 143\/5, 0?\nAnswer: 143\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-667)\/(-621))\/(-29)*(-18)\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 + -0.01. Let o = 0.9 - 1. Let n(b) = 3*b + 4. Let j be n(-3). What is the nearest to -0.1 in o, x, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -338566 + 1015714\/3. Factor -o*l**4 + 79\/3*l**2 + 0 - 152\/3*l**3 - 10\/3*l.\nAnswer: -l*(l + 10)*(4*l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**2 + 690*k - 965. Give u(112).\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Let g(b) = 13*b**p - 6*b**3 + 5 + 4*b - 6*b**3 + 4*b**2 - b. Let w be g(-3). Solve -h + 4 = 3*i, h + w*i - 10 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3822 divided by -182\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**2*o**2 + 2097*b**2 - 2*b - 3920*o**2 wrt o?\nAnswer: -10*b**2*o - 7840*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/63)\/((-2)\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42982*n - 104277 wrt n?\nAnswer: 42982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(200) + sqrt(200) + -4 + sqrt(200) - sqrt(200)) + -4*(-1 + sqrt(200) + -2 - sqrt(200)))**2.\nAnswer: 2880*sqrt(2) + 28944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 226728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 - 7*w**2 - 9*w - 10. Give m(4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -4*f. Suppose 0 = -l + 6 - f. Let v = -20 - -28. Solve 3*u - l*u = v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 70. Let u be ((-1)\/l)\/((-51)\/12). Which is the nearest to 3\/7? (a) 8 (b) -3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - 4\/(-5). Let m(p) = 6*p**2. Let g be m(w). Solve -2 + g = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(((-152)\/228)\/((-2)\/36))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*t - 5*b, t + 5*b + 0*b = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5724*s + 5732*s - 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 851 - 380. What are the prime factors of s?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**4*g**(1\/8)*(g\/g**(-3))\/g)\/((g*g*g**(-1\/6))\/g*g**(2\/13))**(-31) assuming g is positive.\nAnswer: g**(12083\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 305 and 7006826.\nAnswer: 35034130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7122 + 2.7122. Which is the third biggest value? (a) -1\/54 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(11*a - 16*a + 8*a)*(-5*a + 2*a + a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - v + 0)*(-1 + 1 - 2*v) + v**2 - 6*v**2 + 4*v**2 - 852*v**2 - 3127*v**2 - 133*v**2 in the form j*v + p + b*v**2 and give b.\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.0389637 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 335284*f + 763. Let z(u) = 880*u + 2. Calculate 2*j(d) - 763*z(d).\nAnswer: -872*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:57 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 1350 = -35*r. Put r, -4, 6, 3 in decreasing order.\nAnswer: r, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-9)*147\/(-28)*496. Let i = 88 - 60. What is the greatest common divisor of i and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.0464*-258.\nAnswer: 6203.9712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, -16, 2.\nAnswer: -64, -16, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53\/5 of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)\/k*(k**10*k)\/k assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -3272063.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614805?\nAnswer: 3, 5, 17, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(24\/(-18))*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1645603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311040 (base 7) in base 16?\nAnswer: -29b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 494347901 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - -33. Let z = 60 - o. Let q = -0.9 - -1. Which is the closest to z? (a) 1 (b) -6\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 93290.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 - w + 2*w**2 - w**3 - 4*w**2 + 4*w**2 + 16. Let x be k(11). Suppose x*p - p = 0. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, 83, -4\/7, -10?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/3)\/(8\/12). Solve 3*d = -r - d + 13, 2*r - 14 = -b*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5797, 5794, 5791, 5788?\nAnswer: 5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3443\/9 - 383. Let y = 7.579 - 7.12. Let l = 0.359 - y. Put l, 3, 1\/2, n in descending order.\nAnswer: 3, 1\/2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 322 + -122?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 370, 675, 972, 1261, 1542, 1815, 2080?\n\"Answer: -4*y**2 + 317*y + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p + 4*m - 174 - 2 = -8, -4*p + 3*m = -119 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 155, 167, 157, 119, 47, -65?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:25 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*x + 45*x + 1 - 19 as r*x + k and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 2*f. Let z = -24 + 26. Let x = z - f. Solve -x*k = -7*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.697 + 0.097. Let z = -24 + 27. Which is the biggest value? (a) z (b) 2 (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*0.0724772\nAnswer: -0.8697264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l + 5. Let x(a) be the third derivative of 23*a**4\/24 - 5*a**3\/2 - 36*a**2 + 9*a. Determine -6*x(n) - 17*z(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 - 16*r - 7*r**2 - 264 - 2*r**3 + 671 - 16*r - 202.\nAnswer: -2*r**3 - 7*r**2 - 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3)\/6 + 1. Is -4 + 5 + r*54 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 2*x**2 + 3 - 2*x**3 + 5*x**3 - 2*x. Let l be ((-30)\/(-25))\/((-9)\/(-15)). Suppose 4*u + 6 = -5*y, 9*y + l*u = 13*y - 16. What is s(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 86*g**2 - 125*g - 112. Calculate j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -100132?\nAnswer: -100152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 79 - 751 = 0. What is the tens digit of ((-11)\/(-2))\/(((-4)\/l)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from mmommmommomommmo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43537407.\nAnswer: 3, 14512469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205910149?\nAnswer: 47, 4381067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*g = -9*g + 5764. Is g at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753 + (165\/55 - (2 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:03 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvdaaeddedeyddeeddj. Give prob of picking 1 j and 1 a.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2. Suppose -7*l + 8*l + 3*o = 86, 0 = 3*o - 3. Suppose 0 = 2*t + 5*c - 166, 0*t - 2*t + 166 = 2*c. Let k(g) = g + g - t + l. Calculate k(f(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3074856711 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7006*a + 6996*a + 17 - 14000*a. Determine j(-30).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/27 (b) 3\/7 (c) 3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 431, 541, 651, 761?\n\"Answer: 110*p + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 19414?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 60 = -0*s - 4*n, 4*s - 2*n = 42. Let r(t) = -2*t**2 + 18*t - 12. Let j be r(s). What is the closest to -2 in -1\/5, -4, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -59*a**5\/10 - 2*a**3 + a - 19. Find the second derivative of d(p) wrt p.\nAnswer: -708*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 507*y**5\/5 + 1607*y**4\/6 - y**3\/6 + 161*y. Find the third derivative of z(n) wrt n.\nAnswer: 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -93.1. Sort 0, t, -3 in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12992*r**4 + 32096*r**2?\nAnswer: -311808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8264898, -8264906, -8264914, -8264922, -8264930, -8264938?\n\"Answer: -8*o - 8264890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21265 >= 188.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6615 + -4439. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*q**4 + 10*q**2 - 6*q**2 - 5*q + 7*q - 2*q**3 - 2*q**2 - 2 to r*q + p*q**2 + d + f*q**3 + y*q**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (22 + (-67 - -15))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183770587457\/99095 - -1854489. Let o = 7828693\/9314930 + b. Let m = -17033\/18 - -946. What is the common denominator of m and o?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-154)\/182 + (-2)\/13. Let u = 0 - -4. Which is the nearest to -0.1? (a) u (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173170 is divided by 4090.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179273.9ng to kilograms.\nAnswer: 0.0000001792739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114192 + -77681. List the prime factors of g.\nAnswer: 29, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464 divided by -198.\nAnswer: -232\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -112*t + 1696. Let l be f(15). Sort -3, 11, l, 5, 3 in increasing order.\nAnswer: -3, 3, 5, 11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -26. What is the remainder when 20 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -56 - (-219 + 232).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108337973 to 3 dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 6. Suppose 3*s = 2*b - 0*b - 28, 31 = -s + 5*b. Let h be s - -5 - (-1 + 0). What is q(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*a**3 - 545855*a + 1307460 wrt a.\nAnswer: -33*a**2 - 545855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943195 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289119052 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -2, -6, -4 in decreasing order.\nAnswer: 5, -2, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3644, -7234, -10828, -14426, -18028, -21634, -25244?\nAnswer: -28858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*s - 20 - 38 + 6 in the form c + u*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1db134 (base 15) to base 16\nAnswer: -163333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 6. Let o(f) = f**3 + 7*f**2 - 2*f + 1. What is the remainder when o(-5) is divided by (-57)\/z - (-1 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = o - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 725805 = -66*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/4 - 385*h**2\/2 + 32441*h\/4 + 16605\/2 = 0.\nAnswer: -810, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 22*r + 20. What is d(8)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -486\/17153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.49 + -3?\nAnswer: -72.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4 + 4 - 4*m**2. Let j(n) be the third derivative of 0 + 0*n**3 + 1\/6*n**4 - 10*n**2 - 2*n. Determine b(j(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 2*k.\nAnswer: k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*t - 2*t = -42, -t = 5*q - 63. Suppose 2*f = 9 + q. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24*84\/(-180)*650 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmc when three letters picked without replacement from ccecqbqqem.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809073521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -a. Suppose 2*q + 4*g = 6, -q + a = -4*g - 0. Solve -2*m + 3*m + m - 2*m**2 - m**3 - q*m = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697476225 to the power of 1\/3, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 145. Sort g, 0, 7, -5 in ascending order.\nAnswer: -5, 0, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6162611 to the nearest integer?\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (176 - (-2 + -3)). Suppose -10*x - m + 3647 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 3533585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 120 = 3*i, -3*p + 196 = 3*i + 2*i. Let y = 478 - 463. What is the remainder when i is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14796721 minus 67922417?\nAnswer: -53125696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 12 + 3. Let x(o) = -o**3 + 4*o**2 + 2. Let n be x(4). Let s = -49 - -54. Solve m = n*m - w + s, i*w = -m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.2522 and -0.1214533955?\nAnswer: 1.1307466045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4276679 and 70\/12830037?\nAnswer: 12830037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -6, -483, -5, 6.\nAnswer: -483, -14, -6, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + r**4)*((-1 + 0 + 0)*(4*r + 2*r - 7*r) - 4 - 2*r + 4) - 66 - r**5 + 66.\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18394 + 6106*k + 18394 to the form q + v*k and give v.\nAnswer: 6106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57151 (base 8) in base 2?\nAnswer: 101111001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 39 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6574197.\nAnswer: 3, 7, 37, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -134*m**5\/11 - 25724*m**4\/11 - 865140*m**3\/11 + 29128504*m**2\/11 - 16365202*m + 486156 = 0. Calculate m.\nAnswer: -127, -87, 2\/67, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**5\/11 + 14010*o**4\/11 - 141246*o**3\/11 - 1280850*o**2\/11 - 1125600*o\/11 = 0.\nAnswer: -2345, -5, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-54)*(-37304)\/51293?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 7, w: 1, q: 1}. Give prob of sequence sw.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/16 + (-245)\/(-252)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/120 - 7*v**5\/60 - 5*v**4\/6 + 13*v**3\/6 + 8*v**2. Is f(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5 + 6*n**4 + 2*n**3 - 22*n**2 + 24*n - 8.\nAnswer: -2*(n - 2)*(n - 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 197?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30321703?\nAnswer: 2393, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -79. Let w = -30.2 - f. Let c = w + 7.2013. Round c to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12954 is divided by 6263?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1059\/1765*(-5)\/3)\/((-3)\/6). Factor -10*y + 0 + 2\/3*y**s.\nAnswer: 2*y*(y - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*d**4 + 2*d**2 + 21*d**4 + 3*d + 22*d**4 as n*d + c*d**4 + b*d**3 + z*d**2 + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s + 18*s + 34*s)*(21 - 7 + 21 - 2*s**4).\nAnswer: -64*s**5 + 1120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6*-1*(-25)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 513041 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4\/8 - 146390*g**3 - 4684349*g**2\/8 + 67338995*g\/4 - 51236325 = 0.\nAnswer: -1171116, -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*z - 0*k + 52, 3*z - 56 = 5*k. Let r = 80 + z. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**7\/105 - y**3\/6 - 3*y**2\/2 - 1. Let r(n) be the second derivative of u(n). What is the derivative of r(a) wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:07 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-28))\/((2\/(-2))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 * 4261406.\nAnswer: -379265.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 202817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 116 - 314 = 0. What is the tens digit of 1 - 121\/99 - (-2434)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:55 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-4)\/(-2) + -3 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1 - (-8)\/(864\/(-516))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 84*v + 338. What is c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:12 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1+-25533478314862\nAnswer: -25533478314861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 13*q + 7. Suppose 3*b + 8 = -t - 4, 5*b + 20 = 2*t. Suppose t = x - 7 + 5. Calculate the remainder when v(14) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 113808*p**4 - 144*p**3 + p - 24312765 wrt p.\nAnswer: 455232*p**3 - 432*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 10472520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 134136 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2298\/4049 or 0?\nAnswer: -2298\/4049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*l*x**3 + 3*i*l*x**2 - 4*i*n*x - 31*i*x**3 + 2*i*x**2 + 2*l*n**2*x**3 - 4*l*n**2*x**2 wrt x.\nAnswer: 12*i*l - 186*i + 12*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -137*p**6\/30 - 11*p**3\/6 - 2*p + 2. Find the second derivative of q(g) wrt g.\nAnswer: -1644*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.06 - -43. Let j = -0.36 - a. What is the third biggest value in -5, 2, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let b = -16 - -11. What is the remainder when (-26)\/(((-4)\/10)\/((-9)\/(-45))) is divided by n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -4 + -2 + -1. Let o be (-4)\/b*(-27)\/6. Let v be 30\/(-8) - (-1)\/(-4). What is the smallest value in o, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 13. Suppose -2*l = 2*k - 8, 0 = 4*l - 9*l + k + 26. Suppose l*r = -2*p + 34, -2*r - 40 = -4*p + w*r. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 32. Let k be q(0). Calculate the greatest common factor of 96 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/3 - -4. Let n = 8 + -33\/4. Which is the second biggest value? (a) q (b) 1\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19027 or -57079\/3?\nAnswer: -57079\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417 divided by -4.\nAnswer: 417\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810759 is divided by 101344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -454053*m**4 + 649*m**3*p**2 - 2153*m**2*p**2 + 7*m**2*p + 2*m + 2421 wrt m.\nAnswer: -10897272*m + 3894*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:46 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 324*v**2 + 1776*v + 4816.\nAnswer: -4*(v - 7)*(v + 2)*(v + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/2 - (-18)\/(-27)*3. Solve -5*y = -0*y + k - 2, o*y + 4*k + 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-102)\/119)\/((-10)\/(-35)). Let p be -2 + 1 + -1 + 0. Sort 0, 3, d, p in descending order.\nAnswer: 3, 0, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(57\/(7581\/14)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-20) - (107\/24)\/(11900\/4284)?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/22*(-2)\/(-12)*480\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68))**2 + 2*sqrt(17)*5.\nAnswer: 10*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 81*o - 497. Let z(u) = -u + 8. Let q(r) = -t(r) + 5*z(r). Let s(x) = 42*x - 3. What is the remainder when s(3) is divided by q(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)\/(2\/(-2)). Let a(h) = 3*h**3 + 3*h**2 + 3*h + 3. Let r = 40\/57 + 2000\/399. Calculate the common denominator of a(s) and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let u be -3 - 4086\/88 - (-2)\/11. Let g = 48 + u. Sort -0.2, g, v in increasing order.\nAnswer: v, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - 14 - 70. Let x = 6.97 - 7. Let s = x - 1.97. What is the closest to s in -5, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/252 and -137\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 95?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.39 + 42.39. Which is the closest to k? (a) 4 (b) -143 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(468) - 1*sqrt(468))*-2*6 + 2 + 0 + 1 + sqrt(1872) + (sqrt(1872) - (1*sqrt(1872)*1 + sqrt(1872))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99410 divided by -2?\nAnswer: 49705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.133 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 447\/1496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (116 + 15)*(2 - -49)\/3. Calculate the highest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2616, 1\/5, -5?\nAnswer: -2616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.681 and -27.\nAnswer: -26.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/6)\/m))\/(m**(-12)\/m))**(-8\/7) assuming m is positive.\nAnswer: m**(-340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 - -2671.902618?\nAnswer: 2437.902618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 1704*v**3 + 242196*v**2 + 61660712*v - 3118103190 = 0.\nAnswer: -151, 45, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c + 2. Let x be a(0). Let o(b) = -5*b + 4. Let g be o(-6). What is the greatest common factor of g and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 644 - 624. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*4*(-5)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 5*d)*(0*d**4 - d**4 + 36*d**4) + 4*d**5 + d**5 - 3*d**5.\nAnswer: -138*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 587200 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 - 4*f + 1. Suppose 8 = 3*m - 7. Suppose i + m*h = 14, 4*i + 0*h = 3*h + 10. What are the prime factors of l(i)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224653746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -36. Let w be 39\/(-60) + (-14)\/g. Let o = -24 + 26. Put -1, o, w in ascending order.\nAnswer: -1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 70. Suppose -3*g + 5*o = g - 53, -39 = -3*g + p*o. Calculate the remainder when 43 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5082 = 531*v + 14640 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17809901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 4646?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2910 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/2 - 1885*k**3 + 3545677*k**2\/2 + 7113990*k + 7121538 = 0 for k.\nAnswer: -2, 1887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 837449 in ascending order.\nAnswer: -2, -0.1, 837449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1735848016 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61999 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - d + d**2 + d**2. Let i be s(1). Suppose -3*l - 5*x + 18 = 0, 5*l = -i*l - 5*x + 40. Calculate the remainder when 21 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17aca5 (base 14) to base 10.\nAnswer: -836673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07647 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a factor of 60836538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 2. Let p(k) be the second derivative of -k**6\/180 - 15*k**3 - 65*k. Let g(a) be the second derivative of p(a). What is t(g(r))?\nAnswer: -6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*x - 2211 = -1214*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1158313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/4)\/(7\/(-14)). Let g(x) = x**2 - 6*x + 5. Let p(n) = 2*n**2 - 9*n + 9. Let c(y) = -7*g(y) + 4*p(y). Is 8 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*c = 22, -35 = -5*l - 0*l - 5*c. Suppose -l*x - 3*t = -12, -t = 5*x - 5*t - 65. Suppose 34 = -7*f + x*f. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -k - 316, -4*k + n = -2*n - 76 + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669586910 to the power of 1\/2, to the nearest integer?\nAnswer: 25876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-6*sqrt(112)).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-8)\/3)*(-15)\/(-120)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 140 - 852 = 0. Let a = i - -259. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 43\/15*z**5 - 280 + 0*z + 89\/24*z**4 + 0*z**3 + z**2. What is the second derivative of u(m) wrt m?\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1158375 - 0?\nAnswer: -1158375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 plus -85131?\nAnswer: -85130.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.4 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:59 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10781, 10459, 10135, 9809, 9481, 9151, 8819?\n\"Answer: -r**2 - 319*r + 11101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 598542?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1506472.929 to the nearest 1000.\nAnswer: 1506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + (-4)\/3. Let h = 2 + n. Let t = -3 + -1. What is the nearest to h in -0.3, t, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3 + sqrt(1700) + sqrt(1700) - sqrt(1700)) + 5 + sqrt(1700)*4)**2.\nAnswer: -300*sqrt(17) + 42509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjdzjjsdddjspdhszj. What is prob of picking 1 d, 1 s, and 2 j?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*v + 8. Suppose v*s - 5*s - 65 = -5*u, -2*s - 60 = -5*u. Let m = u - 6. Solve -m = k + 4*q + 4, -4*k - 20 = 4*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24294 is divided by 3460?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q + 2. Let k be a(0). Suppose k*x - 2 = 0, -2*m - m + 358 = 4*x. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 174. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/45*10*-2*(-5)\/(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11257.1588 to the nearest 10.\nAnswer: -11260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1363 and 74965.\nAnswer: 74965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 379*p + 432790. What is the remainder when p is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 1. Let q(c) = c**2 - 18*c + 3. Let h(n) = -6*m(n) - q(n). Let w be h(10). What is the highest common divisor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -21, 0.06, 12, 0.2, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101086.84 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:58 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -2)*-3*(-212)\/(-12) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.328932 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-45)*-3)\/(6\/510).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -555131\/109 - -5093. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 10*u**2 - u + 9. Let x be g(10). Do x and -2\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*i**3 - 4*i + 1351 wrt i.\nAnswer: 258*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316102 is divided by 782?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19053 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/208)\/(324\/(-216))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - (-4)\/8) + -2)*36. Suppose 2*r + l = i - 2*r, -3*r = 3*i + 6. Solve i*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10040631?\nAnswer: 3, 3346877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 7*w - 9*w + 33*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -6*c - 45. Let v be c\/((2\/(-6))\/1). Suppose -4 = -f, -j + 8 = 3*j - 3*f. Solve -2*z = 3*y + 6, 2*y - y + j*z = -v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99661946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 13) in base 8?\nAnswer: -777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31762453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007957 rounded to 6 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -4*m. Let x(o) = -m*o**2 - 7 + 22 - 15. Let a(i) = 3. Let v(r) = -r + 2. Let w(z) = 2*a(z) - 3*v(z). Give x(w(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t*t*t**(-2)*t)\/(t\/t**6*t*t*t**2*t)*((t*t**(-2\/19)*t*t*t*t)\/(t\/t**(-8\/7)))**44 assuming t is positive.\nAnswer: t**(15572\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:07 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5)*(-195)\/(-40)*-2. What is the highest common factor of m and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4232 and 185012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72831223*p + 128969622.\nAnswer: -72831223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5357*s = -4*i + 5362*s - 5, -55*i - 2*s + 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4146320 (base 8) to base 6.\nAnswer: 35333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(64) + (sqrt(34)*-2)\/sqrt(2).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 97.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936679.\nAnswer: 936679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 15481295.4?\nAnswer: 15481295.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 - 2*h - 2. Let w(i) = 11*i**2 + 5*i + 5. Suppose -36 = 11*v - 14. What is v*w(k) - 5*x(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*d + 10 + 14, 5*j - 8 = 3*d. Suppose 0 = -3*y + 2 + j. Suppose -y*r + c = -31, -r + 17 = -2*c - 0*c. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 13, 5.\nAnswer: -9, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 36 = 15*m. Suppose -m*l + 20 = 3*z, 3*z + 5*l + 14 = 33. Calculate the lowest common multiple of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.21 and -180310103?\nAnswer: 180310102.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 6, 9, 12, 15?\n\"Answer: 3*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-1431)\/102 - -14). Calculate the highest common factor of k and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 2, -5, 4, 18.07 in decreasing order.\nAnswer: 60, 18.07, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96644 = 436*b - 2693*b + 37962 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2326 (c) 4.95 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 21*j**2 + 74*j + 116. Determine l(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -244.937?\nAnswer: -250.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 209 = -205 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v - 643. Let l be h(50). Solve l*s + 58 - 93 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 73*o**2 - 1662*o + 1662*o - 4*o**3 - 73*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(14643 - 14643 - 190*f**2)*(3*f**2 + f**2 - 2*f**2) in the form q*f**3 + p + u*f**2 + r*f**4 + c*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 6) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + 0.04. Let s = 0.23 + 0.07. Which is the closest to o? (a) s (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose 3*u = 2*d - 33, -w*u + 30 = 2*d + d. Calculate the remainder when 23 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 25*o**5 + 11625*o**3 - 90*o - 18055*o**2 + 5380*o + 1069*o**4 + 368*o**4 - 322*o**4 = 0.\nAnswer: -23, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1\/(3\/(-9)). Suppose -3*o = o + s. What is the second smallest value in -0.4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -45) + (-34)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*d - 49*d - 16. Suppose d*a + 2*a - 372 = 0. Let t = a + -58. Calculate the least common multiple of 11 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 1, -3606, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29978\/7 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -270 + 273. Let k = -2.8 + a. What is the nearest to k in 1, 2, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10574831*h**3 + 2*h**2 - 7392418*h wrt h.\nAnswer: -63448986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0971274742 to 6 decimal places.\nAnswer: -0.097127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 17, 80, 163, 272?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1955 + 1955.22. What is the nearest to 0 in 2\/5, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51.5*-0.6186\nAnswer: 31.8579","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (1 + 6) - -3. Let j(t) = 2*t - 82 + 7*t**2 + 33 + 27 + 31 + 0*t. Does 16 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 1, i: 2, r: 1}. Give prob of sequence fi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**5 - 1029*c**4 = 0. What is c?\nAnswer: 0, 343\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 609?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/3)\/q*q\/(q*q**(-4)*q))**(-42))**(10\/3) assuming q is positive.\nAnswer: q**(-700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 1. Let f be x(4). Suppose -4*n + 364 = -3*o, -5*o + 455 = 2*n + f*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 9 - 1)*(5 - 2 + 2)*(4 - 7 - 24)*((1 - 1 - 1)*(0 + 0 + 2*u) - 1 + 1 - 2*u) to x + n*u and give n.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 16 = c. Calculate the common denominator of ((-9)\/(-212))\/((c\/16)\/(-1)) and 3\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271676.2 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 26, -1, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481625, -2963234, -4444843, -5926452?\nAnswer: -7408061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, 27, 98, 213, 378, 599, 882?\n\"Answer: x**3 + 13*x**2 - 13*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**8*i)\/i*i*i\/(((i*i**(-9)\/i)\/i)\/i))**(-33)*i**5\/(i*i**(-1\/7))*i**3\/(i**(-4)\/i) assuming i is positive.\nAnswer: i**(-4766\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 4. Let h be a(-4). Suppose 2*k - h = -k. Let b be 79\/(87058\/76) - (-62)\/(-58). What is the closest to 0.2 in -5, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 636815718 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -67. Let w = -31 - -31.6. Which is the biggest value? (a) w (b) 4 (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -32a?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 111?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14344*z**2 + 1106 - 9904*z**2 - 1106.\nAnswer: -24248*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 4384*v = 0 for v.\nAnswer: 0, 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 721450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*v, 2*m - 5*v = -3. Let p be 4\/(-10) + 2270\/50. Find the third derivative of -59*g**6 + 116*g**m - 12*g**2 - p*g**6 wrt g.\nAnswer: 1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*q = -0*q - 31, 2*h + 17 = 5*q. Let y be h\/(-14) + 208\/91. Suppose -p - y + 0 = 0. Let v(i) = -i**3 + i**2 + i. What is v(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 0 - 7 + 3*m - 1.\nAnswer: 4*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167.11 + 6.71. Let d = r + 31.4. Let k = -114 - d. Which is the third smallest value? (a) k (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53423, 53549, 53765, 54077, 54491, 55013?\n\"Answer: y**3 + 39*y**2 + 2*y + 53381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185086?\nAnswer: 2, 11, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 27*x - 10*x - 2 + 0. Suppose -t - 4*q + 12 = 3*t, -t + 2*q + 9 = 0. Is u(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 9*p**2 + 2*p + 2. Let m be x(4). Let l(i) = -3*i**2 + 76*i + 54. Let u be l(m). Solve -u*h = 5*z + 28, 4*z + h = -3*h - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67.6*-1.36\nAnswer: -91.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6 + 76 = 0. Let q = n + 16. Suppose u = q*d + 14, 3*u - 4*d - 38 = -0*d. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l. Let m(c) be the first derivative of 89*c**2\/2 + 100. Determine m(a(g)).\nAnswer: 445*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r = -59*r + 56. Let c be r - (10\/45 + (-16)\/(-9)). Solve c - 3 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -46, -85, -146, -235?\n\"Answer: -a**3 - 2*a**2 - 10*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7724078 plus 0.06305?\nAnswer: -7724077.93695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/328 and 64\/9.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 - 405. Calculate the highest common divisor of 2 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 + 1 = 0. Let z(y) = -y**2 + 5*y + 4. Let m(q) = 6*q**2 - 24*q - 19. Let f(g) = -2*m(g) - 11*z(g). What are the prime factors of f(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*((s**(-3\/7)*s)\/s)\/s*s)\/s)*s*s\/s**(1\/2))\/(s**1*s)**17)\/(((s\/(s**2\/s*s)*s)\/(s**(-1\/3)\/s))\/(s**(-6)*s**(-1\/4))) assuming s is positive.\nAnswer: s**(-3247\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -950*n**2 - 20890*n - 41805. Let k(w) = 67*w**2 + 1492*w + 2986. Let o(g) = -85*k(g) - 6*t(g). Factor o(s).\nAnswer: 5*(s - 298)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*(g**(1\/3)*g*g)\/g*g)\/g*g)**(-12)*g*g*g*g*g\/(g**(-5)\/g)*g**(4\/3)\/g assuming g is positive.\nAnswer: g**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-7)\/2 - -3). Let x be 0\/(d\/4*-4). Suppose -2*t - 3*w = -42, -2*t - 4*w + x*w = -46. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -2?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 7*m - 650. Let q(v) = -8*v + 39. Let i be q(0). Calculate the highest common factor of i and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-10)\/30). Solve -1 = y - l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b - 27. Let o be u(-5). Let l = -28 + o. Let z be 15\/(-6)*(-16)\/l. Solve -w - z*k = -0 + 2, -3*k - 9 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.241, -2\/7, 4, -2, 5\/2 in ascending order.\nAnswer: -15.241, -2, -2\/7, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095572220 rounded to the nearest 100000?\nAnswer: 2095600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 + ((-18)\/6 - 8) and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24277922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - -0.1. Let i = -0.43 - 21.57. Let y = -26 - i. What is the second biggest value in 4, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -184 - 236*g**2 - 520 - 887*g - 1146*g**3 - 321*g + 1134*g**3 = 0.\nAnswer: -11, -8, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(((o**(-3)*o*o)\/o)\/o)\/o)\/o)**14)**27)**(-37) assuming o is positive.\nAnswer: o**55944","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:39 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16310448 divided by 3?\nAnswer: -5436816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 904\/1569?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -5*s - v, -3*s - 3*v - 81 = -0*s. Let j = -17 - s. Let b = -111\/10 + j. Is -1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1230)\/(-4305) + 2\/(-9) + 122\/(-1260).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Let m be q(7). Let t be ((-6)\/4)\/(m\/40). Put -0.5, t, 0.3 in decreasing order.\nAnswer: 0.3, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 7:49 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*w + 122. Let y = w + 34. What is the units digit of (-20)\/(-8)*(-16)\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.144165 millilitres in litres?\nAnswer: 0.009144165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1380262?\nAnswer: 5521048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(20) + (sqrt(20) + sqrt(20) + sqrt(500)*2 - sqrt(20))))\/(-5*3*sqrt(484)).\nAnswer: 24*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 bigger than 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {x: 2, d: 2, c: 3, m: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {n: 4, t: 6, h: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 57*r**2 + 213*r - 48. Give y(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 308549, 19, 29 in decreasing order.\nAnswer: 308549, 29, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-9)\/(-27))\/((-24)\/(-20))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + 0 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869494932 divided by -4.\nAnswer: -217373733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) -2\/7 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlr when three letters picked without replacement from qriqll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/14)\/c)\/(c**0*c) assuming c is positive.\nAnswer: c**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 3*o**5\/100 - o**4\/20 - o**3\/10 + 3*o**2\/10 + 2*o. Let i(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q = -124*q + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-4)\/(-2 - 2). Let t = 5 + z. Suppose 3*m - t*m = -4, j - 51 = -4*m. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -9\/5402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3050463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(8\/4)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -616 or 101?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m**2 - 3*m - 3 + 26*m**2 + 5)*(0*m + 0*m + 4*m**3).\nAnswer: 28*m**5 - 12*m**4 + 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + 0 + 4)**2.\nAnswer: 56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1088))**2 - sqrt(1088))*2 - (-5 + sqrt(1088)*-2).\nAnswer: 8709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l = 260 - 820 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d053cd - 0?\nAnswer: -3d053cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven halves of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -21*d + 64. Find l, given that -50\/3*l**3 + 30*l**2 + 8\/3 - d*l = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -426, 19, 490, 987, 1510, 2059, 2634?\n\"Answer: 13*c**2 + 406*c - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -c + 314 + 73, 312 = 4*d + 2*c. Suppose z - k - 32 = -3*z, -4 = k. Calculate the highest common factor of d and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00695703726 rounded to 6 dps?\nAnswer: -0.006957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -592, -2651, -6158, -11113, -17516, -25367, -34666?\n\"Answer: -724*k**2 + 113*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15555.\nAnswer: 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.5. Let m be 6 - 2 - -1 - 3. Let u = 13\/7 - m. Which is the nearest to -1\/2? (a) g (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(396)*1 + -2 + sqrt(110)\/(2*(-1*sqrt(10) - sqrt(10))).\nAnswer: -3 + 23*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 12*l + 4. Let a be c(6). Suppose a*x - 5*s = 151, 5*x = 5*s + 241 - 56. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086708692 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y + 30. Let j be -4 - 17\/y - 2302\/(-8). Let i be (4\/6)\/((-4)\/j*-4). Solve -2 = -5*a - i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let t(w) = 5*w**2 - w - 1. Let u(k) = -33*k**2 - 6*k - 4. Let q(j) = -6*t(j) + u(j). Calculate q(s(i)).\nAnswer: -252*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t**3\/6 - 13*t**2\/2 - t. Does 11 divide i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*y**2 - 2*y**2 - y**4 - 96*y**2 - 19 + 58*y + 22*y**3.\nAnswer: -(y - 19)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1700\/197181 - 1\/1809. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1556 + 17684. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19117, -19112, -19097, -19066, -19013, -18932?\nAnswer: -18817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 2. Let g be x(-2). Suppose g = 5*c - 20. Solve f + c = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1100)*3*-2.\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7910*r - 5*n = 7907*r - 15, -4*n = 2*r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-28))\/((-7)\/(147\/6)). Let m = 2 + -1. Let x = 5 - m. Solve 3*k - 2*a = 7*k + x, -n = -5*k + 2*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 118*v - 16. Let z be i(20). Which is the third biggest value? (a) 5 (b) -0.4 (c) 0.1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 58. Let n = q + -39. Let h = 25 + n. What is the second smallest value in -1\/3, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = -10. Put y, -9, -3 in decreasing order.\nAnswer: y, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**21)**(2\/35) assuming f is positive.\nAnswer: f**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96379.\nAnswer: 31, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + u - 11 = 0, -c - 4*u = 2 + 2. Suppose -3*d = d - c. What is the second derivative of -13*a**4 + 12*a**d + 2*a + a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34972833 divided by -3129\nAnswer: -11177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*f - 10. Suppose 0 = -4*v + 62 + 38. What is the greatest common divisor of f and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 - 134. Let f = 73 - y. Factor 2\/5*a**4 + 2*a**f + 0 - 8\/5*a**3 - 4\/5*a.\nAnswer: 2*a*(a - 2)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(3\/162). Let l = 136 + r. Suppose 0 = -u + 6*u - l. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 40*p - 212. Give o(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/37, -190, 10.1 in increasing order.\nAnswer: -190, 16\/37, 10.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 19*p**2 + p + 39. Calculate the remainder when b(-19) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142136 - -3343?\nAnswer: 145512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 1 + 1 + 4*g**2 - 3*g**2 - 2*g**2 + (2*g**2 - 2*g**2 - 2*g**2)*(1 - 1 + 1) - g**2 - 3*g**2 - 2*g**2 as k*g**2 + u*g + n and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43209434941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 - 2*x. Let t(b) = -4*b**2 + b. Let m(q) = 2*t(q) + v(q). Let y(k) = 20*k + 5 - 7 + 2. What is y(m(u))?\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (89 + 160 - 3*o - 76)*(-3*o + o + o) in the form d*o**2 + f*o + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*l = -27, b = -54*l + 50*l - 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((2 - 3) + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 24*p**3 - 56*p**3 - 4*p**2 + 3*p**2 as v*p**3 + k + n*p + u*p**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**2 - 960*c - 6. Let u(w) = 20*w**2 + 1921*w + 13. Let h(n) = 13*k(n) + 6*u(n). Let h(p) = 0. Calculate p.\nAnswer: 0, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56401247 rounded to three decimal places?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 1 e when three letters picked without replacement from {d: 1, j: 5, e: 6, b: 1, s: 1, z: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let t be 3 + s + (-2 - 3). Suppose 65 = t*w - w. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**6 - 13*t**2 + 0 + 1\/21*t**7 + 0*t**3 + 0*t**5 - 1\/3*t**4 + 0*t. What is the second derivative of g(s) wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-12))\/((-15)\/20). Suppose 6*h = -p + 14. Sort -8, h, -3.\nAnswer: -8, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 - 127 - 138 + 544 - 129 + 346*m.\nAnswer: 346*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Solve -8 = i*k, 5*x + 2*k = -k - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/28 and -31\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103.7 - -135. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 8 = -6. What is the third derivative of -77*u**5 - 77*u**5 - 187*u**h + 63*u**2 wrt u?\nAnswer: -9240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 355797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39272 = -186*r - 38342 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 56 = -12*s, -5*l - 2*s + 70 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2863*f**2 + 1647*f.\nAnswer: -5726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649396?\nAnswer: 2, 11, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 11, e: 2, l: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 * 12.753\nAnswer: -0.471861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27348 and 10070.\nAnswer: 2598060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*(u*(u**(-16)\/u)\/u)\/u*u assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30566 is divided by 1179?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**3 + 2*w**2 - w**2 - 2*w**4 - 9*w**3 as n*w**2 + j*w**3 + k*w**4 + i*w + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 3*c + 1. Suppose 88 = 128*t - 117*t. Let p be (-27)\/t - (-144)\/384. Calculate n(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5944243998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.531 + -0.531. Which is greater: p or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.0861 + -5.992. Round c to 3 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/46 (b) 12 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 70. Let v = l + 99. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:34 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12348 (base 10) to base 16\nAnswer: -303c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -114528741 rounded to the nearest 10000?\nAnswer: -114530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754870.\nAnswer: 2, 5, 19, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-5) + (-5 - 106\/(-10)). Suppose 2*v - 8 = 0, -3*v - 1062 = -2*f - w*v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 501, -0.1, -10\/7, -2\/9?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let o(t) = -t**2 + 3*t + 2. Let l be o(4). Which is the third smallest value? (a) v (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18245 - 10247. Does 93 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 = 5*v, 3*v = 6*b - b + 14. Let z = 7 + -5. Suppose -v*g = -z*g - 23. Calculate the greatest common factor of g and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49824 - -96983. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13617 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.2 - -19.875937.\nAnswer: 25.075937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 184895\/(-42) + -5 + 8\/(-14). Let c = -4398 - m. Calculate the common denominator of -86\/15 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 1. Let m(w) = w**3 - 3*w**2 + w + 1. Let r(p) = -a(p) - m(p). Let b be 20\/6 - 2\/(-3). Calculate r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, 0.14, 2.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 269813 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-364)\/5)\/((-3 - -4)\/(-5)). Let g = a + -108. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434128 divided by -344\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777 = -314502*f + 314465*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2365276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*8\/(-3). Suppose 3*g - h*u - 15 = 0, 3*u = 5*g + 13 - 38. Let p = 2.24 - 1.94. Which is the nearest to 1? (a) p (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 2, h: 4, u: 1, z: 1, l: 2}. What is prob of picking 1 z, 1 l, and 2 a?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -881606 - -3?\nAnswer: -881603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.416 and 167393.\nAnswer: -69635.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 2*h - 22 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a3 (base 14) to base 3.\nAnswer: 110120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460349, -460405, -460461, -460517, -460573, -460629?\nAnswer: -460685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -5*f**9\/504 - f**8\/168 + 17*f**7\/1260 - f**6\/180 - 5*f**4\/3 + 37*f. Let v(s) be the third derivative of a(s). Factor v(n).\nAnswer: -2*n*(3*n + 2)*(5*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:32 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*p + 85, -p = -5*l - 0 - 23. Let d = -26 + p. Solve d*h - 8 = 5*g, -20 = -5*h + 2*g - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 14*q + 3*m = -10, 5*q - 25 = 3*m. Sort -264, -2, q in descending order.\nAnswer: q, -2, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 2, p: 8, c: 1, s: 2}. Give prob of picking 1 s and 2 p.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.58, 0.2 in descending order.\nAnswer: 1\/4, 0.2, -0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 != -53\/22654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9282 and 20.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and -79\/1380.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - (-1644)\/10. Suppose 4*z - 2*h + i = -6*h, -4*z + h = 174. Let t = 66 + z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 560137005070.400245 + -560135272291. Let g = f + -1732783. Let n = g + 3.6. Round n to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 12 + (13 - 22) - (-15 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03274041 to 5 decimal places.\nAnswer: -0.03274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebzqbdbeqq. Give prob of sequence qbbz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -1\/314081, 4, -0.5, 5?\nAnswer: -1\/314081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 61*q**3\/2 + q - 61. Let m(j) = -j**2. What is v(m(b))?\nAnswer: -183*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + 3*f + 7. Let h be u(3). Suppose v + 0*v = h. What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/19 - 29\/133. Let q = 40 - 35.2. Let s = q - 0.8. What is the nearest to 2 in -4\/7, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, 948, -170 in descending order.\nAnswer: 948, 1, 0, -1, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/76 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327716500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.0622 to two decimal places.\nAnswer: -7.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 32. Suppose 4*b - 24 = s. Let f be b*(-1 - 1)\/(-2). Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10908 + 1298019\/119. Let m = -5\/17 + p. Which is the second biggest value? (a) 1\/4 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6821 is divided by 681.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.7 + 28.7. Which is the smallest value? (a) -4 (b) 3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(((l\/(l**(-2\/5)\/l))\/l)\/l))\/(l\/(l*l**(-6\/13))*l))\/(l\/(l\/(l*l**(-2\/7))))**(-4\/9))**(4\/7) assuming l is positive.\nAnswer: l**(7468\/28665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/4 - 5*t**3\/3 - 5*t**2\/2 + 7*t + 10. Let o be h(6). Suppose -f = -o - 2. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*h = 1728, 3*h + 734 + 122 = 2*m. Let w = m - 222. What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306994353.\nAnswer: 3, 1097, 93283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a - 12*a - 4*a)*(-2 + 5 - 1)*(-5 + 7 - 34).\nAnswer: 1664*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 588 - 99?\nAnswer: 4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6204667m to millimeters.\nAnswer: 620.4667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = 6*h. Suppose -2*i + 225 = -5*i. Let t = 79 + i. What is the remainder when t is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/q**10)\/q)\/(q*q**(-15)))\/(q**(15\/7)\/q*q**(-4\/27)\/q))**(-1\/34) assuming q is positive.\nAnswer: q**(-473\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178086.\nAnswer: 2, 3, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-5) + 2562\/3990*(1 + 2).\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbaduu. Give prob of picking 1 u and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/63 (b) -3\/7 (c) -1 (d) 2\/3909 (e) 0.4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from wwwttwwwtwwwwwww?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -30. Suppose x = -4*i + 2 + 2. Let t(o) = -14*o**2 - o + 1. Give t(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/32 - 3)\/((-3408)\/209024)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/188528 and 77\/19324120?\nAnswer: 38648240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280)*-1*-4 - sqrt(280))\/(sqrt(8) - (sqrt(64) - sqrt(64)*1)\/sqrt(8)))\/((sqrt(98)\/(sqrt(2)*1))\/(sqrt(7)*-1*1)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37909549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**3 + 2*o**2 + 0*o**3 - 2*o**2.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006723503 to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/7)*t)\/(t\/(t*(t*t**(-13)*t)\/t)) assuming t is positive.\nAnswer: t**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 16*z - 194. Suppose 3*j - 3 = 0, 69*o = 74*o + 2*j + 123. Let q be g(o). What is the greatest common factor of q and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/341 + 12653\/2046. Calculate the common denominator of 41\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -722 + 513. Let q = -136 - g. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8.5. Let n = -121.171 - -127.7. Let m = j + n. Round m to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*u = -9 - 5, 5*u - 25 = -5*f. Suppose -2*o + 61 = 13. Calculate the smallest common multiple of o and f\/30 + 19\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2134 - -18234. Round y to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/2))\/(k**(2\/13)\/k)*k**(-2\/17)*k**(2\/11)\/k)\/((k\/(k**(-2)*k))\/(k*k*k**(-1\/7)*k*k)*k**(-5)\/(k**1\/k)) assuming k is positive.\nAnswer: k**(315409\/34034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from {t: 13, s: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 73 = -8. Solve -s = 4*o - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 16, n: 4}. What is prob of picking 3 n?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-782)\/(-204) + (-90)\/108. Solve 0 = -v*a + 159 - 138 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-2)\/(-1))*(-15608)\/(-40971)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2009336 divided by 28.\nAnswer: 71762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**2 - 8*g + 5. Let f(w) = 5*w**2 + 6*w - 3. Give 4*f(l) + 3*m(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + (-19)\/(-4). Let y = -0.0982 + 0.2982. What is the third smallest value in p, 0.1, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/27*3\/2 and 83\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 1 + (-5 + 5 - 3*p)*(2 - 3 + 3))*(-17*p**2 + 24*p**2 - 92*p**2 + 0*p**2 + 3*p**2 - 2*p**2 + p**2 + 3 - 3 + (p - p - 2*p)*(4*p + 0*p - 2*p)).\nAnswer: 261*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27.39 * 198673\nAnswer: 5441653.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8791 - 8790.6. Put 1\/3, 1, -2, h, 93 in decreasing order.\nAnswer: 93, 1, h, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 3*k + 1. Let z(n) = 9*n**2 + 3*n + 16. Let f be z(-4). Let u = f + -150. What is a(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 67. Let a(z) = z. What is j(a(b))?\nAnswer: b**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102210106, -102210099, -102210092, -102210085, -102210078?\nAnswer: -102210071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4323*b - 2*l = 4321*b + 20, -b - 5*l + 4 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11580, -11579, -11578, -11577?\nAnswer: -11576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a. Suppose 0*x = -x + 2. Let u(z) = 3*z**2 - 7*z**x + 2*z**2. What is t(u(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r)**(-19) assuming r is positive.\nAnswer: r**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c)**(1\/41)*(c**(-2)\/c)\/c*c**(-4) assuming c is positive.\nAnswer: c**(-979\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + 0 - (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 + 58*f**5 + (f**2 - f**2 + f**3)*(-7*f + 7*f - 3*f**2) + 4*f**3 - 2*f**5 - 4*f**3.\nAnswer: 53*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -11 (b) 0.1 (c) 2\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 820*b**3 - 264 - 477 + 27 + 112 wrt b.\nAnswer: 2460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 119 + 59 = 0. Suppose -23*a = -c*a + 1813. List the prime factors of a.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1001)\/(-21)*5\/11 + -26\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-c - 1 + 1) + c - c + c + c - 2 + 2 + (-2 + 0 + 0)*(-1 - 3 + 3)*(-5*c + 11*c - 3*c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 5. Let s be x(4). Suppose -105 = 3*a + s. What are the prime factors of (a - -26)*(-2 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 - -0.3. Let p = 5.77 - 1.77. Sort p, 3, q in decreasing order.\nAnswer: p, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 1. Let c(u) = -12*u**2 - 13*u + 13. Let w(t) = 6*c(t) + 78*i(t). Let l(b) = -2*b. What is w(l(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 897 and 3393.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 11*q**2 - 10*q - 21. Let a be y(12). Suppose -56*f + 59*f = a. Solve 0 = -3*o + 4*k - f, 4*o = -o + 2*k + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 72. Let l = o - -30. Does 3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29191889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 + 900*u**3 - 1809*u**2 + 906*u = 0. Calculate u.\nAnswer: -302, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567774460 is divided by 238?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -1.7. Let g = -68 + 133\/2. Sort 2\/11, u, 0.4, g.\nAnswer: u, g, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134200 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-4*sqrt(6)) - (4 + sqrt(11) + (sqrt(539))**2).\nAnswer: -543 - 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l + 408. Let r be x(-27). Suppose 5*h - 31 = -3*d, 0*d + 2*h = -d + 12. Let c(q) = -q - 2. Let k(a) = a + 3. Give d*k(w) + r*c(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -15*c**8\/112 + 43*c**4\/24 + 20*c**2. Find the second derivative of n(m) wrt m.\nAnswer: -900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-8)\/(-4))*-1. What is the closest to -4 in q, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171204264 and 190226960?\nAnswer: 1712042640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 6. Let o be c(-4). Suppose -o*g - 10 = 3*g. Let a = 5 - g. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.848074 seconds to days.\nAnswer: 0.001213519375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2\/13, 150, 0.8, 3\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*i = 16, i + 5 = 2*r - 2*i. Suppose 0 = -4*d + n + 1267, 0 = 3*n + 1 - r. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14998 - -65?\nAnswer: -14933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 6*s - s, -4*h + 1 = 3*s. Let x = -1 + 12. Suppose 1 = -2*u + x. Sort u, -3, h in ascending order.\nAnswer: -3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6354 - 2311. Let l = 2\/37278665 - 3870606508309\/447343980. Let j = l - g. Calculate the common denominator of j and 109\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 5. Let q(b) be the second derivative of -b**2\/2 - 10*b. Suppose 0 = 10*d - 12*d - 6. What is d*q(r) - l(r)?\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1914 and 1160.\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612653 is divided by 122510.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 65 = 20. Suppose 2*d + d - 9 = 0, -d + b = 3*y. Suppose y*u - 21 = 53. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-820))\/((-63)\/(-8904))*15?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3974, -3979, -3998, -4037, -4102, -4199, -4334?\nAnswer: -4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v. Let o(r) = 3*r**3 - 6*r - 10. Suppose -4 + 0 = 4*j. Let z(b) = j*o(b) - 2*c(b). What is the remainder when z(-5) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 13*g - 1 - 8*g)*(-2*g + 50*g - 5*g).\nAnswer: -645*g**2 - 43*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**(2\/3))\/(b**2\/b*b)**(-14)*(((b*b**(2\/11))\/b)\/(b*b**(-11)*b))**(13\/3) assuming b is positive.\nAnswer: b**(2380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3036*k + 3038*k + 13 = 6070*k - c, -3*k - 191 = 8*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046176 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 11*v**7\/21 + 7*v**4\/6 + 27*v. What is the third derivative of w(u) wrt u?\nAnswer: 1320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/7 - 120091*q\/7 + 3127098.\nAnswer: -(q - 182)*(q + 120273)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*g = 3069*g + 2352*g - 818*g + 198945 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -11003?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 487.2 + -487. What is the closest to -21 in -2\/7, 3, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 15. Let b = i + 0. Let x be (1*b)\/((-10)\/35). Calculate the highest common factor of 126 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/60 - p**4\/8 - 5*p**3\/6 + p**2\/2 - 2*p. Let g(c) be the first derivative of q(c). What is g(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 114*s - 54. Let r be j(17). Suppose r = 5*n - 4*y, -3*y = -0*y - 12. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 1144 = -4*n. Let u = n + 316\/3. Let w = 8 + -12. Which is the nearest to -2\/7? (a) 2 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 575795 + 195382. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2796*w - 2793*w + 7, -3*q + 2*w + 11 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-12) - (-24)\/((-32)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 - 12. Let d(j) = 6*j**2 - 13. Let c(h) = 5*b(h) - 4*d(h). Find the first derivative of c(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/10 - 18\/(-30). Solve 5*w - 25 = 5*f, o = 3*w + 4*f - 4 - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (4 - 12)) + (-39 - 14) - 16?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630389 is divided by 17510.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*o + 3536 = 188*o - 5625 - 8989 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5 = -5*v, 4*v - 2*y + 5 = 3*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(4212) - (sqrt(4212) + (sqrt(4212) - (-2*sqrt(4212) + sqrt(4212))) - sqrt(4212))))\/(sqrt(8)\/sqrt(50)).\nAnswer: 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010019923 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5)*i)\/(i*i*i*i*i**8*i))**30)**15 assuming i is positive.\nAnswer: i**(-7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401154103 (base 6) to base 9.\nAnswer: 13673713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, k: 2, w: 1, j: 4, n: 2}. Give prob of sequence kk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6241 - 6254. Is 0.024 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 320 = 2*w. Let g = -706 + 4958\/7. What is the common denominator of g and w\/(-39) + (-6)\/9?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -745 + 1266. Let g = x + -436. What is the remainder when 592 is divided by g?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*245\/(-294)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + (-1 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 46*n**2 + 46*n**2 - n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 s when four letters picked without replacement from {t: 3, s: 6, p: 1, n: 1, b: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (45 + 25 - 47 - (1 + 11)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50657, 105163, 159669, 214175?\nAnswer: 268681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13170 divided by -2195\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7600*t**3 + t**2 - t. Let z be x(1). What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29612418936 - 0.1\nAnswer: 29612418935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/66921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c + 20. Let j(a) = 4*a - 3*a + 4 + a. Let o be -2 + (3 - 3 - -4). Let d(n) = o*i(n) - 11*j(n). What is the first derivative of d(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*s - 31, 3036*l - 3033*l - 29 = -s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6964 is divided by 622.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 23*t**2\/2 - 3*t + 88. Find the first derivative of c(q) wrt q.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 59 - -11) + 11 - (1 + -62 + 3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (36 - -16) - 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122529 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5 + 17. Let b(w) = -w**3 + 16*w**2 + 4*w - 50. What is the smallest common multiple of b(16) and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/4 - -15\/4. Factor 1\/2 - b + y*b**2.\nAnswer: (b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -13 - 6*o - 1\/4*o**4 - 5\/3*o**3 - 7\/2*o**2. Is 3 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-10)\/(-75))\/((-24)\/(-45))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1929, -1672, -1415?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o - 1\/6*o**4 + 0 + 1\/9*o**3 - 23*o**2 + 1\/18*o**5. Find m such that b(m) = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -445.6 and -40.\nAnswer: -485.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3 + 3\/2*h**2 + 7*h. Calculate the remainder when b(3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.34528 and 2588274.\nAnswer: 2588274.34528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2700 and 7\/13968.\nAnswer: 1047600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 161664, 323321, 484978, 646635, 808292?\n\"Answer: 161657*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 at least as big as 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321202 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3671 (base 12) to base 3.\nAnswer: -22102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - q**2 - 2*q**2)*(2 - 1 + 1)*(0 + 2 + 1)*(3 + 3 - 4) to the form i*q**2 + m + v*q and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22132 is divided by 11046.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 20 = 4*r, -c = -3*c - r + 5. Suppose -2*i + 26 + c = -5*o, 3*o + 27 = 5*i. Solve 2*x - i*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-9))\/2*(-2409)\/(-56210).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unuunnnunnnnun. What is prob of sequence unnn?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129682 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -35*t + 25*t. Calculate the least common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - n + 3 = 2*n, 4*o + 3*n - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 200 = -5*r, x - 3*r + 33 = -3. Let n = x + 52. Solve -5*w + 25 = 5*j, 5*j - n = -0*w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbqhbskv. What is prob of picking 1 k and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -230*n**2 - n + 11. Let a(r) = 922*r**2 + 3*r - 45. Let k(d) = 2*a(d) + 9*o(d). Find the second derivative of k(u) wrt u.\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3976\/32)\/(-71)*8\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 13. Suppose -4*x + p*j = 3*j - 32, 5*x = -3*j. Suppose x*v = -v. Solve -3 = -t - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 + 10.77. Let o = 0.07 - r. Which is the closest to 1? (a) -4 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9077185 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -53906 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7102.632 months?\nAnswer: 591.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5584 = 3*s + 5588, 13*s - 71 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/33*(-28)\/48*-12. Let h = -50751675805\/2618 - -38771363\/2. Let r = k - h. Put r, -3\/4, -5, -1\/5 in descending order.\nAnswer: r, -1\/5, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-2) - (2 - 0). Let k be 74\/14 - v\/63. Solve -4*t - k = -13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-18) + (-2)\/4 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1028*a**3 - 13*a**2 - 10*a - 378. Let j(d) = -1542*d**3 - 21*d**2 - 16*d - 566. Let q(l) = -5*j(l) + 8*o(l). Differentiate q(p) wrt p.\nAnswer: -1542*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47116.705652 and -6.\nAnswer: 47110.705652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 6*r**3 - 5*r**2 - 5*r**3 - 2*r**2 + 3. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0246989 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 + 7*k - 7. Let f be u(-8). Let h be 4*((-4)\/3 + f). Which is the closest to 0.1? (a) -0.1 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*u - 990 = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5320084 take away -931018?\nAnswer: -4389066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -120, -133, -154, -183, -220?\n\"Answer: -4*o**2 - o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, -5 in decreasing order.\nAnswer: -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6051 or 6050?\nAnswer: 6050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5447.999995536 - 5448. Round u to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 10*w + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(17781*y + 17766*y - 7 - 35518*y).\nAnswer: -29*y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 1:09 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10932 - 10879. What is the remainder when 271 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 498, 747, 996, 1245, 1494?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003514 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.68 - 2. Let j = 2.9 + m. Let z = j - 0.2199943. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33379, 138455, 313583, 558763, 873995?\n\"Answer: 35026*n**2 - 2*n - 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**3*w - 37*b**3 + 441*b*w**2 + b + 26 wrt w.\nAnswer: -11*b**3 + 882*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1426 or -1424?\nAnswer: -1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209620289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10203 (base 4) to base 6\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and 4684803012.\nAnswer: 4684803011.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -5*q**4\/2 + 6*q**2 + 10. Find the second derivative of r(y) wrt y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-140)\/(-24))*230\/1794?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (182056130*a - 182056130*a - 714*a**3)*(0*a - 3*a + 2*a) to the form y + b*a**3 + q*a + s*a**2 + z*a**4 and give z.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 8*o**3\/5 + 6*o**2\/5 = 0?\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*a - 2 + 74*a + 2.\nAnswer: -219*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27147327 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 1450.6 (b) -1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6, 5*h + 14*l - 34 = 16*l. Suppose -40 = -5*o + 4*j - h*j, 5*o = 2*j + 40. Let i(c) = -c - 6. Give i(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:02 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475102 or 475139?\nAnswer: 475139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 4*a**5\/15 - a**4\/12 - a**3\/6 - a**2 - a. Let c(n) = -2*n**2. Let g(j) = 2*c(j) + z(j). Determine g(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioio when four letters picked without replacement from ooiooooiooi?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30032 or 30030?\nAnswer: 30030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742931 is divided by 123809?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 1, b: 2, t: 1}. What is prob of sequence nff?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -35*q. Let a(n) = -5*n**2 - 11*n**2 - 9*n**2 + 26*n**2. Calculate a(z(w)).\nAnswer: 1225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.023\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2) + 4 + -2. Let h = w - -5. Solve -6*z = -z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 - 71. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 731\/6 - 122. Let j = -7.2 - -7.6. What is the third biggest value in 1\/4, i, 3, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 46945 = -5*s, -15*c = -2*s - 11*c + 18772. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -11*g + 23. Let o(x) = -2*x**2 + 8*x - 7. Give o(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/15 + l**4\/8 - l**3\/6 + l**2 + 25*l. Suppose 0 = 5*j + 3*d - 14 - 2, -5*j = 4*d - 18. Give c(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/2, 2\/15, 0.4, -0.031?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/3 + 12860*m\/3 - 8268980\/3.\nAnswer: -5*(m - 1286)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 536. Let c(m) = -3*m**2. What is c(a(n))?\nAnswer: -48*n**4 + 12864*n**2 - 861888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2. Let r(q) = 4*q**2 + 3*q + 3. Let x(b) = -9*b**2 - 7*b - 7. Let s(k) = -7*r(k) - 3*x(k). Give s(a(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 o when three letters picked without replacement from fobbfffoffbffff?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 7*v + 13. Let i be m(-8). Suppose 0 = -i*z + 78 + 62. What is the second derivative of z - 15 - 13 + 6*q - 4*q**2 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(225\/(-70)))\/((-16)\/24)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65.399999927 + -65.4. What is i rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48912, 49276, 49874, 50700, 51748?\nAnswer: 53012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1158068221.897 and -6.\nAnswer: 1158068215.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z + 72. Let f = 24 - z. Let r = 110 - f. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -56, -1 in ascending order.\nAnswer: -56, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288307 - 288307 + 1923*r.\nAnswer: 1923*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(7 + 384\/(-54))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 152\/15 + (-8)\/60*1. Suppose -n*u = -16*u + 156. Factor u*f + 75 + 5*f**2 - 55 + 11*f - 12*f.\nAnswer: 5*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-121))\/(185*42\/(-770)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 727110*o + 16726175 = 0.\nAnswer: -23, 145445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-5040)*8\/(-6)*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*b**4 - 76 wrt b.\nAnswer: -472*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1 - 2. Let w = -8.27 + 8.47. Sort a, -0.5, -0.6, w in descending order.\nAnswer: w, -0.5, -0.6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 27202491?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 112081 = 21*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 11*a**2 + 11*a - 10. Let t be m(10). Let p = 9 + t. What is the lowest common multiple of p and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 6 - 1. Let z(v) be the second derivative of 12857*v**4\/12 - v**3\/6 - v. Let f be z(r). What is f rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i**2 + 118*i + 9. Give m(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z**2 - 4*z + 7. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*i - 148 = 180*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 29*o**2 + 448*o + 13332. Give t(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*z + z = 5, 0 = -4*v + 4*z + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 15*a + 4. Let y be h(-15). Suppose 0 = y*f - 8 - 24. Solve -f = 6*t - 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5*(-3)\/(-5)*(-142)\/(-213).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -28*j - 65. Let x be p(-6). Suppose -96*q - 130137 = -x*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 50. Calculate k(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 + 5*c - 5. Let g(s) = 5*s**2 + 5*s - 3. Give -5*g(m) + 4*w(m).\nAnswer: -5*m**2 - 5*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-50) - ((-6)\/50)\/(141\/94). Factor -2\/3*l**4 + 2\/3*l**v - l**3 + 1\/6*l**5 + 5\/6*l + 0.\nAnswer: l*(l - 5)*(l - 1)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - 0.0724947.\nAnswer: 67.9275053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 1. Let s(f) = -2*f**2 + 3*f - 5. Suppose 213*i = 132*i + 81. Determine i*s(o) + d(o).\nAnswer: -o**2 + 3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.56 - -0.04. Let l = 36.6 - x. Let m = l + -38. Put 4\/15, -3, m in decreasing order.\nAnswer: 4\/15, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*-1*2\/(-6). Suppose 48 = x + n*x. Solve 0*i + x = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(19)*1 - -3*sqrt(171)))*2 - ((2*(1*sqrt(114) + sqrt(114) + sqrt(114)) + sqrt(114) + sqrt(114))\/((-3*sqrt(60) + sqrt(60))\/sqrt(10)))**2.\nAnswer: -302 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 69 + 82 + 3*h + 59 - 269.\nAnswer: 3*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540.46 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvhvvvlvhvvvdvllldv. What is prob of picking 1 d and 1 v?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-3 - -9) + -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 872.261 years?\nAnswer: 10467.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.9 + 51. Let k = u - 0.1. Which is the nearest to 0.2? (a) -0.2 (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 31*i - 11. Determine r(-17).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 6*y**2 + 28*y**2 + 2*y**2.\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 0 + 1 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(42)\/sqrt(2) + sqrt(21))\/sqrt(3))**2 + (sqrt(14)\/sqrt(8) + sqrt(7))*4.\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, q: 2, k: 2, e: 1}. What is prob of sequence eq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 98.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = 5*o - 3, o + 4*q + 3 = 0. Let m(w) = w - 2. Let n be m(2). Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 6 = 4*r. Let s be 26*(-2)\/r - 0. Let c = 8\/3 - s. What is the third smallest value in -5, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-18)*9*1)\/((-12)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10437 and 44835?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24129 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3\/3 + 68*b**2 + 832*b - 2704\/3 = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/26 and (24\/496)\/(-4 + (-291)\/(-75)).\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (2 - (48 + -21 + -13)) - (4 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/16)\/(3\/(-10)). Let w(u) = -3*u**2 + 20*u + 10. Let k be w(5). What is the greatest common factor of n and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/9 and 38\/(-11)*(-4)\/(-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.229 - -0.071. Sort 3, 8, g in ascending order.\nAnswer: g, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*b**2 - 225*b.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/897 and 79\/12.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -85. Let b(r) = -r**3 + 2*r**2 - 7*r + 5. Let o(w) = -w + 1. Determine y*o(k) + b(k).\nAnswer: -k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 32. Let v = 68 + -37. Suppose 4*m - b - 13 = 10, 3*m = -2*b + v. Calculate the remainder when x is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -633, -1270, -1913, -2568, -3241, -3938, -4665?\n\"Answer: -b**3 + 3*b**2 - 639*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2 + 5*k + 2. Let j be m(-4). What is the greatest common factor of 52 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkd. Give prob of sequence kd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33574451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 3378.\nAnswer: -239838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 3*f + 9. Let o(l) = l**2 + l - 5. Determine -5*d(t) - 9*o(t).\nAnswer: 6*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.51696306 - 3386\nAnswer: -3386.51696306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4986.263t in nanograms?\nAnswer: 4986263000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 7, 152, 0 in descending order.\nAnswer: 152, 7, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 97*d - 5. Let u(p) = -193*p + 11. Let y(h) = 13*m(h) + 6*u(h). Let r(a) = -2*a. Determine r(y(w)).\nAnswer: -206*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 + 1. Let g be b(-1). Suppose 90 = 5*t + g*r, -4*t + 4*r + 19 = -t. Let l = -10 + t. Solve 2*o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.23, -4\/45, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 6*k + 20. Calculate the least common multiple of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8496 less than 1147?\nAnswer: 9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c - 2*c - 2*c. Let x(b) = -1 - 16*b - 13*b + 31*b. Let u(i) = i**2 + 18*i - 9. Let k(t) = 2*u(t) - 18*x(t). Calculate s(k(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 12 = -4*z, 5*o + z - 3 = 0. Suppose -3*h + h = o. Suppose h*u + n + 166 = 2*u, 249 = 3*u - 2*n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -35. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at least 15\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9224*u - 27690. Determine p(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -18 + 4. Suppose -4*o - 8 = 5*m, 3*o = 3*m - m + 17. Suppose x = j + o. Which is the second smallest value? (a) 0.2 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -12*k**4 - 21*k**3 + 186*k**2 - 45*k = 0.\nAnswer: -5, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8448 + -8322. Calculate the remainder when 8567 is divided by z.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.15 + 38.15. Put 2, -2, n, -0.7 in decreasing order.\nAnswer: n, 2, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 90*v + 2. Let r be d(45). Solve 0 = -s - 5*q + 29, -5*s - r*q + 18 = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/240 - y**4\/6 - 3*y**2. Let s(u) be the second derivative of w(u). Determine s(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56445419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 99 = 271 - 100. Which is smaller: -96\/37 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:24 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 13}. Give prob of picking 1 i and 1 f.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 33 = -2*r, 0 = 4*r - 0*r + 5*f + 41. Let d be ((-14)\/r + -3)*0. Suppose d = -0*g - 2*g + 10. Solve 5*l = 0, 2*k - 7*k = l + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - 32 = -2*v, 3*m + 2*v - 76 = 0. Let k(s) = -4*s**2 + 7*s**2 - s - 2*s**2. Let t(c) = -12*c**2 + 11*c. What is m*k(r) + 2*t(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 11:43 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 51*x - 58*x - 297, 294*u = x + 296*u + 45 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3 + 0*a**2 - 1 - 5 + 5*a - a**2. Let f be s(3). Factor -3*z**2 - z**2 + 3*z**2 + 4*z + 3*z**2 - 6*z**f.\nAnswer: -2*z*(z - 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/37 and (5 + -9 - 11)*(-42)\/165?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8201605189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70 - 8*-2*(-3)\/12. Let c = -62 + t. Let z be (-1205)\/75 + (c\/(-30))\/1. Which is smaller: -16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 + 34. Let g = 97.6 + t. What is g rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.52245 nanograms in grams?\nAnswer: 0.00000003052245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7cdc (base 14) to base 9\nAnswer: 32751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((2 - 12) + 3 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 9*q**2 + 8*q + 6. Let l be s(8). Let b(u) = 3*u**2 - 7*u - 3. Let w be b(l). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 18*y + 17. Let x be n(-17). Let l(r) be the third derivative of -3*r**2 - 1\/60*r**5 - 1\/6*r**4 + 0*r + x - 2\/3*r**3. Factor l(w).\nAnswer: -(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f + 2*i + 2*i, -3*i = f + 13. Let r = 151 + -240. Calculate the remainder when 24 is divided by r\/f - (-6)\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-25)*(-75)\/(-8). Let i = 9\/2 - d. Determine u, given that -1\/2 + i*u - 1\/4*u**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -1 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36862 + -1683. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.55 and 0.5?\nAnswer: -0.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3813 divided by -3?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1774, 3543, 5298, 7033, 8742, 10419, 12058, 13653?\nAnswer: 15198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose -n - 6 = -3*l - 3*n, 5*n - 5 = -5*l. Let q be (-2)\/l*(0 + 2). Which is the second biggest value? (a) 2 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = -12. Let n(s) = s**2. Let u(d) = 6*d**2. Give z*n(t) + u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2445, 3\/7, -5\/13 in increasing order.\nAnswer: -2445, -5\/13, 0, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z - 40 = 0. Let n = 60 + z. Suppose 4*j + 0*j - n = 0. Solve -j = -0*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c*c*c\/(c\/c**21)*c*c)*c**(-17)*c**7*c**(4\/3))**(3\/7) assuming c is positive.\nAnswer: c**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4*sqrt(252)*-2)\/(3*sqrt(144)*-3))**2 + 2.\nAnswer: 679\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 8*c + 9. Let r be l(-7). Suppose -r + 0 = -2*q. Let u be 1\/1*9\/q. Solve -u = -3*o + 3*k, 5*k - 2 = -3*o - 33 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 41 = -4*c, -4*b = -4*c - 5 + 1. Put -5, -2, b in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61558 is divided by 12298.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24910 is divided by 3553?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 19. Let m = 13 + f. Sort 1\/6, m, 8 in descending order.\nAnswer: 8, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f**2 + 5*f - 3. Let y be x(3). Suppose -y*o + 0*o + 669 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**7\/840 + r**6\/90 + r**5\/60 + r**4\/12 + 2*r**3\/3 + r. Let s(i) be the second derivative of w(i). Determine s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50082571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -8\/3, -0.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 0, -2*v + 2*l + 12 = -l. Suppose -4*g = -v*g + 28. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21 + 4 - 6440\/230. Let s = 1 + -0.6. Let o = -0.3 + s. Which is the second biggest value? (a) 1 (b) o (c) u (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 38 + -115 + -8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.061 * -211.\nAnswer: 645.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 20. Suppose -5*c + 22 = 2*r, -c - 24 = -6*c - 4*r. Solve 0 = c*s + o + 4*o, -p = -5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729 and 87097032?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*v**4 - 4353*v**2 - 5*v + 1084581996 wrt v.\nAnswer: -68*v**3 - 8706*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23957 + 0?\nAnswer: 23957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/6 - d**4 - 4*d**3\/3 + 16*d**2 - 64*d\/3 = 0.\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**10)\/t)\/((((t\/(t**(-2)*t))\/t)\/t)\/t*t*t))**28 assuming t is positive.\nAnswer: t**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Is 530\/r*(12 - 14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410*b**3*j**2 - 19*b**3*j - 2*b**3 - 4*b*j**2 + 187*j**2 + 1456 wrt j.\nAnswer: -820*b**3 - 8*b + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2\/5 (b) -17 (c) -5\/6 (d) 502 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7098\nAnswer: -1\/2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 - 9*u + 22. Let w be i(5). Suppose 4*b = w*n + 608, -3*b + 0*n = -4*n - 456. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2584538576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-10)*30\/(-9). Find the second derivative of n**l + n**5 - n**4 + 0*n**4 - n wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -18*l**3 + 23*l**2 - 2*l. Let q(p) = -p + 7*p**2 + 0*p + 8*p**2 - 14*p**2 + p**3. Let d(b) = -c(b) + 2*q(b). Find the third derivative of d(s) wrt s.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 2 (c) -14\/89 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50 - -49)\/(((-6)\/8)\/3). Suppose 2*h + 12 = -c*n + 42, -h - 13 = -2*n. Let s(v) = v**3 - v**2 + 2. Calculate the least common multiple of s(0) and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12*m = 9*m - 139, 3*t + 4*m + 206 = 0. What is the nearest to 1 in 0.4, t, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8340, 8309, 8278?\n\"Answer: -31*d + 8371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/(r*r*r**(-1\/5)*r)*(r\/(r*r\/r**(-2\/9)*r))**(3\/10) assuming r is positive.\nAnswer: r**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/7 - 4776484*s**3\/7 + 143302920*s**2 - 10031400400*s + 234068296000 = 0.\nAnswer: -2388452, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 68*a**2 + 10*a + 29. Let z be b(23). Calculate the highest common divisor of 24 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 2\/5*u**4 + 62\/5*u**3 + 0*u + 12*u**2 = 0.\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 4*c + 15, t = 4*c + 25. Sort 208, -4, t, 3, -5 in decreasing order.\nAnswer: 208, t, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5824.1688 + 1.8312. Which is smaller: 2\/3 or n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/40 + r**3\/6 + 9*r**2. Differentiate g(b) with respect to b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756105771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/6, 20.564, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*t**2*z**3 - 2*t**2*z - 15*t**2 - 8*t - 16*z**2 + 8 wrt z.\nAnswer: 81*t**2*z**2 - 2*t**2 - 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4554 + -4.057. Let i = 3.6 + n. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10002 (base 4) to base 16\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015914784 rounded to seven decimal places?\nAnswer: 0.0001591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 - 8*j + 6. Let v be m(-9). What is the closest to -0.1 in 0, v, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d**2\/3 + 224737*d\/6 + 14785\/3 = 0 for d.\nAnswer: -5914, -5\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80447432.\nAnswer: 2, 13, 773533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/23)*l)\/l)\/((l*l\/l**(-16))\/l*l*l) assuming l is positive.\nAnswer: l**(-435\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48351768163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/5 + 34*s**3\/5 - 32*s\/5 = 0?\nAnswer: -4, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 141?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o - 22 = 65*o. Calculate the lowest common multiple of 67 and o.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088511 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9524 * -102.4\nAnswer: -975257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 101 = 26. What is the third biggest value in 0.03, y, -3, 2\/11, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -27*u - 3. Let s be w(4). Let k = s - -67. Round k to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 217640809 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*t - 20*t**3 - 142*t - 26*t**3 + 2 - 18*t**3 + 23*t**3 to q*t**3 + c*t**2 + i + j*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453508701?\nAnswer: 3, 19, 7956293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10 - (4 + -4))*-15. Find the third derivative of -7*s**2 + 68*s**b - 45*s**6 + 10*s**2 wrt s.\nAnswer: 2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -2129*g**4\/12 - g**3\/3 + 134*g**2 - 1174*g. What is the second derivative of n(x) wrt x?\nAnswer: -4258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46746 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*n - 615*n + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 1 + 25*d**2 + 6 - 10*d**2 wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2464 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3786920 from 3.\nAnswer: 3786923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369429084.\nAnswer: 2, 3, 19, 540101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -114.69?\nAnswer: 344.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*u**3 + (180 - 59 - 82)*(-6*u**3 - 9*u + 9*u).\nAnswer: -232*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316\/7 - 314\/7*x - 2\/7*x**2 = 0. What is x?\nAnswer: -158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/218, -3, 13 in decreasing order.\nAnswer: 13, 3\/218, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674 = 1300*r - 235*r + 36666 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0742432773 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypp when three letters picked without replacement from {y: 2, p: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5437 = 3*b, -3*b = -z - 2708 + 8121. Let r = z + -1154. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + -1 - -4 - -1500?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*u + 26, 2*m = 4*u + 5 + 17. Let s = m - -5. Solve s*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3*b - 15, -21 = -y + 4*b - 1. Suppose y = 103*w - 93*w - 240. Solve 22*f = w*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -148, -9047\/10?\nAnswer: -9047\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - 13\/(-5). Suppose -w*m = m - 60. Suppose 3 = -u, -u - 17 = -5*d + 1. Solve d*o = m - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) + (-255)\/(-9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 19364*x**2 + 46205250*x - 3232125000.\nAnswer: 2*(x - 68)*(x + 4875)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - 6*n**2 - 7*n + 16. Let a(s) = 3*s**3 + 4*s**2 + 5*s - 11. What is 7*a(y) + 5*x(y)?\nAnswer: y**3 - 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.9 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 3, 0.25, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 3*o**3 - o**3 - 2 + o - 4*o**3 to the form m*o + y*o**2 + f*o**3 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 131, 137, 127, 95?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111110010 + -11?\nAnswer: -111111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7840*v + 51824 wrt v.\nAnswer: -7840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4572816?\nAnswer: 2, 3, 95267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -668 and -670 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 132, -1\/5, -8.74, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*f - 17, -4*r + 14 = 5*f - 5*r. Differentiate -34 - 166*l**3 + 166*l**f - 24*l**4 wrt l.\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m = -67*m - 4688. Let g = m - -1776. List the prime factors of g.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-239800)\/(-14) - (-2)\/7*(-3)\/(-2)?\nAnswer: 7, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11909102.\nAnswer: 2, 1879, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637) - sqrt(637))**2*4 - (-3 + sqrt(637))*5 - ((sqrt(637) + (sqrt(637) - sqrt(637)*4))*-2 + 3*sqrt(637)*-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/60)\/((-13)\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -54*i + 2*i**2 + 54*i. Let r(d) = 18 + 16*d + 3*d - 5*d - 7*d - 16. Give r(z(v)).\nAnswer: 14*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 565\/3, -5, -0.5.\nAnswer: -5, -0.5, -0.2, 565\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 9. Let v be x(-6). Let f = 8 - v. Suppose 6*g - 3*g = 0, f*j - 3*g + 20 = 0. What is the third smallest value in 3, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(-4*i + 0*i - i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -714, -704, -698, -702, -722, -764?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((84\/135)\/14)\/(59\/177)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8712.1939 rounded to the nearest 100?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36473410 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677090, -677014, -676888, -676712, -676486, -676210, -675884?\nAnswer: -675508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**4*p**2 - 1350*o**4*t**2 - 14*o*p**2*t**2 + 30*o*t**2 - o*t + 2*p**2*t wrt o?\nAnswer: 24*o**2*p**2 - 16200*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**2 + 146839*s - 34286?\nAnswer: -2*s + 146839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*t + 2*t - 10 = 0, -t = -1. Suppose 0*i - 3*i + 9 = 0. Let o be (16 - i) + j - 0. What is the greatest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.6 + -24. Let u = 1.1 + r. Let b = u + 2.5. What is the second smallest value in b, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 4*a + 3. Let k(r) be the first derivative of -r**2\/2 + 122. What is 4*k(h) - w(h)?\nAnswer: 5*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140834*a**5 - a**4 + 42*a**2 - 32171*a wrt a.\nAnswer: 8450040*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000034978 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61860300765 take away 0?\nAnswer: 61860300765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-32)\/q)\/q)\/(q\/(q\/(q*q\/(q**(-39)\/q*q)*q))) assuming q is positive.\nAnswer: q**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3182, 6362, 9542?\nAnswer: 12722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 58, 4, -46, 30, 25 in increasing order.\nAnswer: -46, -19, -4, 4, 25, 30, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*v + 39 = 0, 45 = l + 4*l - 2*v. Let u = 1 - l. Calculate the remainder when ((-4)\/u)\/(9\/162) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.08. Let m(h) = -h**2 + 8*h + 5. Let y be m(10). Let q be 2 + 42\/y - 0. Which is the biggest value? (a) q (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14090091.6 to the nearest ten thousand.\nAnswer: 14090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -2202?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 741\/26 + 2\/4. Let y be (-1 - (-6)\/9) + (-2748)\/(-90). Is y smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9b219a (base 12) to base 3\nAnswer: -11122112222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3902857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9318332 to the nearest integer?\nAnswer: 3053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(78 - 113*r - 78)*(2*r + 2 - 2).\nAnswer: 452*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213158986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k - 78 = -16*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 75 = 339. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 6, b: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*f - 5, -4*m - 2*f = -0*f + 4. Let y = -5.43 + -0.37. Let s = y + 5.6. Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-21)*35\/25. Let z = r - -8\/5. Let x be (-7)\/9 - 2\/9. Which is the closest to 0.1? (a) -0.4 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bbkyyyykkbybkkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.2. Let q = 0 - t. Let r = 83.961 - 87.961. Which is the closest to 1? (a) r (b) q (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159257 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 43*s**2\/3 - 902*s\/3 - 7 = 0. Calculate s.\nAnswer: -1\/43, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(18))**2 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.33 and 9.2.\nAnswer: 8.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518969, 518962, 518955?\nAnswer: 518948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -28 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16\/265, 80506 in descending order.\nAnswer: 80506, 16\/265, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 + -166. Calculate the highest common factor of l and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 38*r**2 + 102*r + 170. Calculate p(-35).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4 + m**3\/3 + 9*m**2\/2 + 13*m + 733. Calculate r(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -5.2. What is the biggest value in t, 2, -0.3, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -0.207. What is s rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 60919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010110 (base 2) to base 12.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3149.7 - 11.\nAnswer: 3138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/120 + w**5\/60 - 3*w**2\/2 - 3*w. Let h(j) be the first derivative of d(j). Find the third derivative of h(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10.3. Let q = 0 + m. What is the third biggest value in 1, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505 and 7445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 558, 278 in descending order.\nAnswer: 558, 278, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192833553*p**2 - 39142*p + 403 wrt p?\nAnswer: -385667106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.026 + -0.274. Which is the closest to -3\/2? (a) 0.3 (b) -2\/17 (c) -4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632703 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: What is next in -9996, -10433, -11196, -12291, -13724?\nAnswer: -15501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/5 (b) 1\/6 (c) -2 (d) -0.009 (e) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67016344*n**5 - n**2 + 9*n - 150456 wrt n?\nAnswer: 4020980640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -7*z - 6. Let l = z + 110. Let k = l - 65. Solve o + 3*b - 2*b + 1 = 0, -3*b = -3*o - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278\/79 or -3?\nAnswer: -278\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 1. Let x(i) = 6*i - 2. Let q(n) = 5*p(n) - 4*x(n). Is q(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, t: 5}. What is prob of sequence dt?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + (1 - 1) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1295*s + 1296*s + 34 = 0, -38 = -5*a - 3*s for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21681, -21687, -21693, -21699, -21705, -21711?\nAnswer: -21717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*l - 3*c, -128 = -5*l - 6*c + 9*c. Suppose 5*h + m - 1644 = 0, m = 22*h - l*h + 986. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11506*k - 206*k**2 - 11506*k + 205*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from faccaaakayayaa.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1237 - 2477\/2. Which is the closest to -0.1? (a) u (b) -2\/19 (c) 0.1 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y**3 + 3*y**2 - 3*y. Let d be (8\/(-4) - -2)*-1 + 3. Let z(t) = -40*t**3 + 10*t**2 - 10*t. Let i = 9 + -19. What is d*z(j) + i*s(j)?\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 14.33264 years?\nAnswer: 0.01433264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042768 is divided by 77?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254\/173 - 22642\/8823. Calculate the common denominator of t and -41\/7.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 82*m + 77*m + 32, -23*m + 154 = -m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 4. Let y(f) = f**3 - f**2. Let i be y(-1). Let j be (-165)\/(-9) + 4\/(-12). Let s be i\/((-3)\/(j\/4)). Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.01, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6473, 26045, 58659, 104309, 162989, 234693?\n\"Answer: -y**3 + 6527*y**2 - 2*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 37024?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*h**3 - 6*h - 46 + 32 + 7*h**3 - 9*h**3 + 7*h as i*h**2 + z + k*h + u*h**3 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 32. Let o(c) = -c**2 - 7*c + 9. Let k be o(x). Calculate the remainder when 54 is divided by (-232)\/(-12) + k\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y + 2*u + 4, -3*y = -u. Let t = y - -3. Suppose 4*a = m - 5*m + 84, -4*a + 78 = -t*m. What is the smallest common multiple of 6 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 - 17*w**4\/24 + 7*w**3\/6 + 5*w**2. Let l be a(8). Let m be 161\/(-49) + 4 + l. Are 0.05 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -877*m + 731. Let x(f) = 292*f - 245. Let k(l) = 3*g(l) + 8*x(l). What is the derivative of k(t) wrt t?\nAnswer: -295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274379847?\nAnswer: 3, 7, 17, 768571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let y = m + 3. Let o = 1.16 + -1.16. What is the nearest to 0.1 in o, -0.2, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 60*f**3 + f**2 - f. Let c be r(1). Suppose p - c = 3*w, 3*w - w + 104 = 2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(1*(sqrt(128) - sqrt(8))) - (((sqrt(117)*-1 - sqrt(117)) + sqrt(117))*6)**2.\nAnswer: -4212 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1204*d**3 - 13587*d**2 + 138839335*d wrt d.\nAnswer: -7224*d - 27174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 4*z)*(1 + 1 - 5)*(-20 - 304 - 53).\nAnswer: -2262*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 411 + -410 - (89\/(-2))\/((-4)\/(-8)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(16\/2*51\/408)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21058 + -20745. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 8*q + 8. Let x be y(-7). Find the common denominator of -53\/3 and 2*x + 8\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 36*w + 62 = 5*p, -4*p + 45 = 3*w. Let b be ((-5)\/10)\/(1\/(-136)). Solve -b*j + 64*j + p = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 + 17*o**4 - 12*o**3 - 68*o**2 + 64*o = 0 for o.\nAnswer: -2, 0, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88952 by -241.\nAnswer: -88952\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, -0.14, 2\/7.\nAnswer: -1, -0.14, 2\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9650512?\nAnswer: 2, 59, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 40. Suppose 0 = 3*p - 5*a - 41 - 37, u = 4*p - 3*a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250 - 458. Let x = -199.7 - b. Round x to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(432) - sqrt(432)*1 - sqrt(432))*-6 + -1 - (sqrt(108)\/sqrt(64))\/(sqrt(90)\/(sqrt(40)\/sqrt(4)))).\nAnswer: 287*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -s - 0*h + 7, -2*s + 2*h = 4. Solve 5*r = 0, -l + r + 5 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61589592 divided by 21006.\nAnswer: -2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 1 in decreasing order.\nAnswer: 22, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184261 + 349070. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*m - 837*m + 483*m.\nAnswer: 83*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 7 + 2)*(-4 + 1 - 2)*(-22 - 2 + 10)*(3 - 3 - 3*l + (4 - 1 - 2)*(3*l - 3 + 3) + 0*l + l + l) to the form h + z*l and give z.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0115*3547.\nAnswer: -40.7905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(1314\/(-216) + 6) - 651\/62.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:26 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let q(v) = v**2 + 19*v + 90. Let t be q(-11). Let u(g) = 4804*g - 110*g**t - 4804*g. Determine u(a(w)).\nAnswer: -440*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4\/(-1) - 0. Let b be (-52)\/(h - 0) - 0. Solve 2*o - 4*p - 3 = -b, 5*o + 5*p = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clcb when four letters picked without replacement from bbrblcc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56275811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -20) + (1 + -1 - (0 - 13))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n*v**3*w + 2*n*v**2 - 78277*v**3*w + v**2 + 10*v*w + 1679*w wrt v.\nAnswer: 60*n*w - 469662*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280)*3 - sqrt(280))*1)\/sqrt(8))\/(4*sqrt(125) - 4*(sqrt(5) + sqrt(10)\/sqrt(2))).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1 + -1 + -2*sqrt(7))*4.\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from zffmqqzzsszsm?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 1. Let t be w(1). Let q be t*(0 - 4) - 4. Let k(y) = -2*y - 3*y**3 - 1 - 1 + 4*y**3 - 1 - 3*y**2. Determine k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210322233020000 + -3?\nAnswer: -210322233020003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -365*n + 3654. Determine k(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 44. Give l(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 - -604. Let g = j + -187. Sort g, 0.04, 0.2.\nAnswer: g, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.19006 nanoseconds to minutes.\nAnswer: 0.000000001386501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:03 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 - 0.07. Let j = -0.05 + 0.95. Let s = j - -0.1. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687753877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, c: 1, k: 4, g: 1, t: 2, m: 2}. What is prob of sequence cm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 9*o - 9. Determine x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42024 - -0.57976. Let c = -66 + 125. Is h less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334342 (base 6) in base 12?\nAnswer: -5a3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2587 divided by 61\nAnswer: 2587\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304128 by 19008.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 1\/5, -0.1, -5, -0.5, 0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -961*w + 55658. Give k(58).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/15)\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:41 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 50*v**2 - 36*v + 57. Let z(k) = -7*k**2 + 5*k - 8. Let c(i) = -3*h(i) - 22*z(i). Calculate c(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -683 + 713. What is the third smallest value in 1\/4, w, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 7*u. Let a be f(7). Suppose -3*q + 0*q + r + 28 = a, -4*q + 2*r + 38 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23813770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4304 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000001221 (base 4) in base 2?\nAnswer: -11000000000001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*p = -539, g = -4*g - p + 2723. What are the prime factors of g?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(4\/60)\/(6\/(-15))*-34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1304 + 2897. What is the common denominator of -151\/42 and (l\/81)\/(8\/(-6)*-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 20 = 3*u, 0 = -6*u + 2618*f - 2620*f - 32 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3, 2*j + 4*w = 3 - 7. Let k be (-3 + 3 + 2)\/(2\/j). Suppose k*f - 746 - 9986 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 21. Determine c(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -2. Let o = r + -2. Suppose -3*d = 2*w - 1, 3*d = -4*w + o*w + 13. Solve -d*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 + 47 + (-5)\/(-2 - -1). Suppose -3*i + 150 = t, 12*t - n*t = 0. What is the highest common factor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56848459, 113696926, 170545393?\nAnswer: 227393860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 9, l: 3, x: 1, m: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 66 = -165 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + (-9648)\/(-96))*3*(-4)\/(-18).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950 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: What is 2 (base 12) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28426)\/9)\/(1208\/6). Let q = d - 22\/151. Calculate the common denominator of q and 53\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133 - 21 - 96 - 30 - 61)*(2*l - 2*l + l) to o + i*l and give i.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -5*o + 7*o. Let m = o - 13. Suppose 0 = -4*v - 4*f + 596, v = -3*f + 173 - m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6838396 is divided by 4496.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1114.\nAnswer: 1\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 4*h. Let u(i) = -2*i**2 + 4*i + 36. Let x(q) = q**2 - q - 12. Let s(d) = 3*u(d) + 10*x(d). List the prime factors of s(h).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m**2 - 50*m**2 + 112*m**2 - 31*m**2. Let g(r) = -160*r**2 - 8*r. Determine g(s(q)).\nAnswer: -640*q**4 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 104. Suppose -4*g + 72 = -4*q, -2*g + q + i = 1. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 10*i - 4. Calculate the lowest common multiple of 16 and a(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516719\/82056 + -1716\/263. Calculate the common denominator of u and 43\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -37*b**2 - 2219*b + 58. Let n be y(-60). What is the closest to -1 in n, -0.28, -34, 2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/54 - 16\/(-9). Suppose -1165990 = w*b + 1634010. What is b rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*i - 23, -5*c + 8 = i - c. Suppose -12 = i*m - m, -m + 8 = 4*u. Suppose -u*g = -8 - 40. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -911 + -3a?\nAnswer: -94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b. Let p = 60469 + 12780. Suppose -8*x + p + 351 = b. What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/2191 and -4\/2191.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-212)\/(-265)*(-5)\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 3*b**3 - 2*b**3 + (-b**3 + 5*b**3 - 2*b**3)*(4 - 4 - 2) - 2*b**3 + b**3 + 5*b**3 in the form l*b**3 + k + s*b**2 + f*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-48)\/26 + (-4)\/26). Suppose m = 6*q - 208 - 122. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:36 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3370048, -6740077, -10110106, -13480135, -16850164?\n\"Answer: -3370029*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)\/(m**2*m)*(m**3)**(-2\/151))**(-35) assuming m is positive.\nAnswer: m**(23464\/151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p**2 - 19*p - 4. Let h(r) = -16*r - 3. Give -7*h(x) + 6*o(x).\nAnswer: -66*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - -0.09.\nAnswer: -19.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17940 rounded to the nearest 100?\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000583019 to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/2 + 3*s**2\/2 + 3*s. Let w be v(-3). Let q be w\/(-18) - 210001\/3. Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 34 = -3*l, 2*p - l - 112 = -p. Let g = -32 + p. Suppose g*z + 10 = -0*z. Put z, -2\/7, 1\/3 in descending order.\nAnswer: 1\/3, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-9))\/(2\/(-36)). Let l = 32 + -62. Let q = j + l. Solve -b - 5 = -q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 + -10 + -17 - -1) + (-15 - (-6 - -3))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132748555 by 2.\nAnswer: 132748555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -17.66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(3) - (sqrt(13) + (-2*sqrt(117) + sqrt(117))\/sqrt(9)) - ((-2*sqrt(91))\/sqrt(7) + 4).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaakaaakkaa. Give prob of picking 2 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/(-12) + 6)\/((-5)\/(-90)). Which is the third biggest value? (a) 49 (b) -0.1 (c) o (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**29\/((j**(1\/2)*j)\/j)**16*(((j**(-1\/3)\/j)\/j)\/j)**(-24)\/(j\/j**(1\/12)*j*j**(-6)) assuming j is positive.\nAnswer: j**(565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -12, -7, 16, 63, 140?\n\"Answer: p**3 - 14*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14324407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -20. What is the remainder when 98 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:36 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:47 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m - 1. Suppose 5*q - 4*w + 31 = 0, 5*w - 26 = 6*q - 4*q. Let b(g) = g - 1. Determine q*b(j) + c(j).\nAnswer: j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Suppose -11*x + 252 = x. Let g(m) = m**3 - 21*m**2 + m - 13. What is the least common multiple of o(1) and g(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**2 + 1. Suppose 0*b + 4*b - 8 = 0. Suppose -2*t - 14 = 2*p, -b*p + 0*p = -t + 11. Let u be (3 + p - -2) + 0. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2755 and -103\/120.\nAnswer: 66120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74\/35 + 12\/7. Let t = 0 - -3. Let z be ((-6)\/4)\/t*2. Sort d, -4\/3, z in increasing order.\nAnswer: -4\/3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4147, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 27, 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -23 (b) -1\/4 (c) -5 (d) 81 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17154 - -1732568\/101. Let l = a - 819\/808. What is the common denominator of l and 54\/5*3\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)\/v)**16)**(-6\/11)*(v**(-1)*v*v**(-7)*v)\/(v**(-8)\/(((v*v*v**(2\/13))\/v)\/v)) assuming v is positive.\nAnswer: v**(724\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from ylyqllyyqy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5)\/p)\/(p*p\/p**(3\/5)*p))\/(((p*p**(-1))\/p)\/p*p\/(p**(-4\/9)*p)))**(4\/33) assuming p is positive.\nAnswer: p**(-112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671 = 183*x - 1708 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*60.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -16 + -57 + 59.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 3*x. Suppose 5*i - 4*y = -y + 55, x*y - 11 = -i. Suppose 3*u + 2440 = i*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u + 71. Let x be l(-6). Let p = x + -4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 127. Let b be j(-6). Let r = 124 - b. Solve -3*f - 18 = 3*o, 0 = -0*o - 3*o - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188 a factor of 26109247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2043 + -1203. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 3.66\nAnswer: -7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from lhhlhlzhlhhlhzllll?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31448\/55 + 6294\/11. Suppose -4\/5*n - 2\/5*n**4 + 0*n**2 + 4\/5*n**3 + z = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3535 divided by 3535?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v - v)*(5 + 13 + 2*v - 2) + (1 - 1 + v)*(v - 2*v + 3*v) in the form d*v**2 + f + o*v and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - 1)*(-2)\/(-6). Let l = x - -14. Calculate the least common multiple of l and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 u when three letters picked without replacement from zzhnulnunuhuuuluzn?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-3*j + 2*j - 4*j)*(241 - 63*j - 241).\nAnswer: -630*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -32*g**2 + 0 + 1\/24*g**4 - 3\/2*g**3 + 0*g. Give h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 33 + 26 - 20*h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 + 3038\/19. Let x be 4*88\/(-112) + 3. Sort -5, 4, x, w.\nAnswer: -5, x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 1. Let s(a) = -a**3 + 4*a**2 + 9*a - 20. Let n be s(5). Determine y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464609293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -1 + 13. Let m be 1 + -1 + 1\/o. Let h = 26.43 - 26.4. Which is the second biggest value? (a) m (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f**5\/f*f*f**(-8)\/(f**(1\/10)\/f) assuming f is positive.\nAnswer: f**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - u = -0*u. What is the closest to 0 in 8\/9, 2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 15, 2 in descending order.\nAnswer: 15, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13295612?\nAnswer: 2, 11, 302173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1834*l*m*u - 4*l*u**2 - 17*l*u - l + 2*m*u**3 + 2*m - 18*u**3 wrt m?\nAnswer: 1834*l*u + 2*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 932 and 26.12.\nAnswer: 958.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*v - v + 384, -2*v = -2*q - 192. Calculate the highest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-26 - (55 + -25))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (204\/11)\/(-4) and 139\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -17.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -1\/3, -5, 6, -216, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2261.26 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + 26. Let o(x) = -x**2 - 118*x + s*x. Let j(n) = 4*n. What is o(j(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 3*l + 3*l)*(-481 - 30*l + 28*l + 232) to the form d + x*l**3 + u*l + v*l**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.2. Let r(h) = -1019*h + 4090. Let n be r(4). What is the fourth smallest value in n, j, 3, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*12\/3*(-26)\/52?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (3 - (-2 - 1)). Solve -2*l + 6 = -f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((5*(1 + sqrt(3564)) + sqrt(3564))*6*6)**2 + -2).\nAnswer: -997886292 - 8398080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2946\/10 - (-4 + (-90)\/(-25)). Suppose -3*u - t = -8*u + 3*h, u - 4*h = 76. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/20 - 585\/(-60) - (-2 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.173 (b) -3 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y**4 - 4*y**3 + 4*y + 4. Let g(u) = -9*u**4 - 3*u**3 + 3*u + 4. Let k(r) = 3*a(r) - 4*g(r). Differentiate k(t) wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -27, -40, -57, -78, -103?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 4 in ascending order.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -52123 (base 6) to base 10\nAnswer: -6963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Let a(o) = 2*o + 3. Let c be a(0). Suppose c*u + 9 = 3*i, 2*i = -3*i + 4*u + 19. Let f(y) = -5*y + 14*y - i*y. Calculate w(f(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d*j**2*w + 123*d*j**2 - 3*d*j*w**3 + d*j*w**2 - 3*j**2*w**3 - 2*j*w**3 wrt j.\nAnswer: 6*d*w + 246*d - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**10\/15120 - r**8\/560 - 2*r**7\/315 - r**6\/120 + 3*r**4\/8 - 9*r**2. Let i(p) be the second derivative of w(p). Factor i(g).\nAnswer: 2*g*(g - 3)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-12))\/(4\/24). Let q(z) = 5*z**2 - 7*z**t + 0*z**2. Let j(g) be the third derivative of -g**4\/12 - g**2. Calculate j(q(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 56806 divided by -4\nAnswer: -28403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c + 4*x, c + 2*x + 18 = 3*c. Suppose -3*y + c + 2 = 0. Calculate the greatest common divisor of 8 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-615)\/1230)\/(1 - 19\/2)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/545 in -0.04245, 5, -0.4?\nAnswer: -0.04245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603324 divided by 2150831?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -4. Suppose 3*p - 3*c - q - 42 = 0, 0 = -p - 3*c + 30. Let d = -19 + p. Solve -d = 2*o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*j - 367 - 433. Let w be 8 + -6 + 1*318. Suppose 3*f + f = 8, -4*o + w = 4*f. Calculate the remainder when o is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -2)**2 - (sqrt(45)\/sqrt(576))**2.\nAnswer: -20*sqrt(5) + 8251\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5463533?\nAnswer: 31, 176243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.18, 2\/5, -1\/6 in decreasing order.\nAnswer: 2\/5, 0.2, 0.18, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22 + -20)\/((-8)\/112))\/22.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 2752\nAnswer: -101824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102201204 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 397288?\nAnswer: -794576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3083 - -2116. Let t = k + 1355. List the prime factors of t.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11613.41 and 0.4531?\nAnswer: 11612.9569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57395.37 meters?\nAnswer: 5739537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/117 and 13\/1107.\nAnswer: 14391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b - b)*(-1 + 2 - 3)*(-5*b + 4*b + 5*b) + 0*b**2 + 0*b**2 + b**2.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 62341048\nAnswer: 748092576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -140 + (12 + -8 - 6 - (-116 + 94)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-11))\/(k**(3\/23)\/k) assuming k is positive.\nAnswer: k**(319\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/705 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b**3 - b**2 + 2*b - 2. Let w(f) = 27*f**3 + 2*f**2 - 3*f + 3. Calculate 2*w(h) + 3*x(h).\nAnswer: -24*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.91, -785, -5, 0.4 in ascending order.\nAnswer: -785, -5, 0.4, 0.5, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3194?\nAnswer: 31940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17877272*h**2 - 15961456*h - 1.\nAnswer: 35754544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3693 or -3692?\nAnswer: -3692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9313816?\nAnswer: 2, 101, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 7*v + 10. Give j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/128 and -43\/332.\nAnswer: 10624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 124*m - 595. What is u(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*d - 5*m + 195 + 145, -5*d + 6*d - 20 = 4*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 g when four letters picked without replacement from {g: 5, k: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + (-28)\/(-7)*-1. Sort -0.5, g, 4 in descending order.\nAnswer: g, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Let j be m(2). Suppose -4*l = -j*l. Suppose -k = -2*s - l*s + 9, -3 = s - 2*k. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 0*w**3 + 2*w**3)*(-4 + 2 + 0)*(75 + 66 + 19 + 133).\nAnswer: 1758*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 3*l + 13 = 0, u - 1 = -3*l. Let g(a) = a**2 - 4*a - 10. Let o be g(u). What is the greatest common divisor of 88 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 20*i - 1350. Solve -i = -8*d - 59 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) + sqrt(10)\/sqrt(125) + ((sqrt(2) + 1)*6)**2 + sqrt(2)) + (sqrt(162) + ((3 + sqrt(162))**2 - sqrt(162))*1 + sqrt(162))*6 + 0.\nAnswer: 1519*sqrt(2)\/5 + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1265 from 171.6925207.\nAnswer: -1093.3074793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - 17\/(-4). Suppose -s*l - 33 = -3*y + 23, 0 = -3*y - l + 31. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q - 27 = 105*q. Let x(p) = 2*p**2 - 3*p + 3. Let z be x(2). Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 136 = 2*b, 3*s = -5*b - 24 - 278. Let o = b - -62. Suppose 3*d + 9 = 0, -3*h + o*d - d = 0. What is the second smallest value in 0.3, 5, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 10*v**3 - 110*v**4 + 31*v**3 - 3 + v**2 + 112*v**4 - 15*v**3 - v to the form c*v**2 + b*v**4 + s + d*v**3 + x*v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.06038 microseconds to nanoseconds.\nAnswer: 57060.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 2*c**2 - 16*c**2 + 2 + c**2 - 2 + (-c - 2*c + 2*c)*(1 - 1 - 2*c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/6 + 79*r**4\/6 - 163*r**3\/3 + 247*r**2\/3 - 331*r\/6 + 83\/6 = 0. What is r?\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = v - 0*v, v + 7 = 2*s. What are the prime factors of (-12)\/v*(-1065)\/(-10)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.050143 - 159.046463. Let q = -159 - j. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*m**4 - 39*g**3*m**2 - 33*g**3 - 5*g**2*m**2 - 6*g*m**2 - 136856*m**4 wrt m?\nAnswer: -24*g**3*m - 3284544*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 205*t + 11. Determine n(41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -18*q - 5*f - 4, 5*f - 44 = -3*q. Solve -2 = -10*v + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - 249. Suppose 0 + m*c - 2\/15*c**5 + 0*c**2 - 8\/15*c**3 + 8\/15*c**4 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -3. Suppose 0 = -a - 2*a. Suppose 5*u - w - 21 = a. Solve -r + u = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6780609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccaactctctcdf. Give prob of picking 1 d, 2 c, and 1 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 3. Let o be f(-4). Let v = -4 - o. Suppose v*p = 4*r + 9, -2*p + r + 3 + 3 = 0. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*v**4 - 2 + (-1 + 1 + v**2)*(1 - 1 + 2*v**2) - 1124733*v**2 + 1124733*v**2 - 3003*v**4.\nAnswer: -2999*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15804 divided by 439.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 8, w: 2, q: 2}. What is prob of picking 3 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/20 - z**4\/2 - 5*z**3\/6 + 2*z**2 + 2*z. Let i be n(-4). Is ((-38)\/i)\/((-2)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 6:56 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - -0.6. Let f(l) = 10*l**2 + 59*l - 7. Let r be f(-6). Let d = 4.9 + 0.1. Sort k, r, d in ascending order.\nAnswer: r, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*x = 0, 16*s - 20*s - 3*x = -14. Solve 2*f = s*q + 2, -9*q = -f - 10*q + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162347 to three decimal places.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9503366 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 10\/(-2))\/(-2). Let d(n) = -161*n + 1. Let s be d(t). What is the derivative of 12 - 162*k + s*k + 25*k**3 wrt k?\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -69, -41, 5, 75, 175, 311, 489?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10706, 10669, 10580, 10415, 10150, 9761, 9224, 8515?\nAnswer: 7610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 16}. Give prob of sequence gg.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 33522*y.\nAnswer: -3*y*(y + 11174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 2*z)*(-2*z + 1 + 5*z - 9).\nAnswer: 3*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58158 is divided by 174.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*b + b**3 - 2*b)*(-2 - b + 2) - 4*b**2 - 2*b**4 + 4*b**2)*(-55 - 84 + 152) to the form h*b**2 + s*b**4 + o*b + x + g*b**3 and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6063 (base 7) to base 14.\nAnswer: aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**5\/20 - 37*p**4\/12 + 22*p**3\/3 + p**2\/2 - 18*p. What is the hundreds digit of a(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 - 7*q + 425 - 216.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -151197193?\nAnswer: 151197193.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.996 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 20) + -5 + 1 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 48*t**2 - 18486*t + 2641. Calculate u(385).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1207 - 666. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21 - 4740\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 117, 265, 473, 741?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 137 - 416 + 20*f + 129 + 150. Let a(n) = 432*n. Determine a(y(u)).\nAnswer: 8640*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 m when three letters picked without replacement from zmzzmmmzmmmmzmmzrzzm.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxpcxxn. Give prob of sequence co.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -463612 + 1?\nAnswer: -463611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 47. Let b be i(0). Let t = b - 70. Let h = t + 33. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) + sqrt(6)\/sqrt(3) + 5)**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 116, 0.3, 0.2 in ascending order.\nAnswer: 0.2, 0.3, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95868053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -8, -36 = f - 6*f - 4*a. Suppose f*h - 20 = -h. Suppose -h*z + 76 = -4*p, -4*p - 2 = -z + 14. What is the highest common factor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h + 5*c - 19, h - 4 = -c. Suppose p + 0*p = 0. Solve -z + p = -h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 11204751.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5430*q**2 + 1 - 213033*q**2.\nAnswer: -218463*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288180 divided by -30.\nAnswer: -9606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 261689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - f + 6. Let a be n(0). Let d(b) = -b**3 + 6*b**2 + 2*b - 7. Let r be d(a). Solve -5*t + 4*k + r = -k, k - 17 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3248 and 26158.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23726957\/226 + -105018. Let k = -4\/113 + l. Find the common denominator of k and -149\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 24*o - 1. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*o**3 - 5*o**2 - 2206*o.\nAnswer: 990*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -50.5293742205?\nAnswer: 50.4893742205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -651.6 + 439. Let n = m + 213. Put n, -6\/11, -1\/5, -4 in ascending order.\nAnswer: -4, -6\/11, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - -24. Calculate the greatest common factor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.945295 years to centuries.\nAnswer: 0.01945295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (1\/(-4) - (117\/(-884) + 6)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -3 (b) -0.3 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/5 + 1434*o**2\/5 + 167661*o\/5 - 174906 = 0.\nAnswer: -246, -237, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4692177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1300.332 + 1299.9719986. Let h = k + 0.36. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 + 5*q**2 - 8. Let r = 63 - 57. Let l(x) = -2*x**3 - 6*x**2 + 9. Calculate r*j(w) + 5*l(w).\nAnswer: 2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2355\/13 + 181. Let d = 2 + -5. Let v = 0 - 0.1. Which is the nearest to v? (a) d (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - 5*u - 8. What is g(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 49757731.02.\nAnswer: -49757720.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhjxjxb. Give prob of sequence bh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 970*j - 132998. Calculate g(137).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -6 + 1 - (-2352)\/294. Let f = 80\/21 - 22\/7. Factor -1\/3*q**5 + f*q**3 + 1\/3 - 1\/3*q + 1\/3*q**4 - 2\/3*q**x.\nAnswer: -(q - 1)**3*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*u**2 - 3*u**3 - 2*u**3 - u**3 + 4*u**3.\nAnswer: -2*u**3 - 1010*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762.443059 rounded to 0 decimal places?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/((-25)\/5)*(-35)\/(4900\/70).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2365 is divided by 10\/(-4)*364\/(-70).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5940 or -5861?\nAnswer: -5940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 694.9929nm?\nAnswer: 0.0000000006949929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(6*(-4)\/6). Let d = 0.24 + 0.06. Let t = 1\/35 + 171\/140. What is the closest to 2 in t, d, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2238*p + 2248*p = 334 - 54 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -80, 4, -2 in descending order.\nAnswer: 4, -2, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.42 - 43. Let i = g - -1.58. What is the third smallest value in i, -0.2, 0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/3 + 7*t**2\/2 - 129*t + 2. Give f(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: f1b (base 16) to base 11\nAnswer: 29a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 4*v + 6, v - 29 = -5*m. Suppose -m*x = -x - 12. List the prime factors of -1 + 3 + (x - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.1124 + 0.8876. Which is the third smallest value? (a) 0.5 (b) i (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 8*x + 2. Let p be v(6). Let i = p + -10. Suppose 2 = -2*w - o, i*o = -w + 3*w - 18. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/5 and 71\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 - 107 - 15 + 67 + 21*k as j + o*k and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168839\/49 + -3446. Let c = g - -1\/49. Is 1\/3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:08 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63843 and 484552?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 195*a - 851. Let k be h(5). Calculate the greatest common divisor of 266 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from hhccc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25698, 51398, 77098?\nAnswer: 102798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from xlzcnex.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 4*f**2 + 2*f + 5*f**2 - 4*f in the form d*f + t*f**2 + u and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -12538.6.\nAnswer: -12533.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. What is the second derivative of 5*x**3 - 8*x - 4*x**y + x**3 - 6*x**3 wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 729801, 2919198, 6568193, 11676786, 18244977, 26272766, 35760153?\n\"Answer: 729799*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30201 - 137799 = -4*w. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 5\/7, -1716\/25.\nAnswer: -1716\/25, -1, -1\/2, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*h + 299*h + 2 + 293*h - 1218*h + 315*h.\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -n - 2, -5*j + 2 - 10 = 4*n. What is the fourth smallest value in 0.1, 3, n, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1446 - -1566. Calculate the remainder when 136 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2165.94ms?\nAnswer: 0.00060165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 269257589?\nAnswer: 269257589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6181 divided by 30?\nAnswer: 6181\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o - 48*o + 476 = 4364 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16328 and 73\/26.\nAnswer: 16328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405)*-2 + ((0 + sqrt(720))**2 - sqrt(5)).\nAnswer: -19*sqrt(5) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)*1 + sqrt(84)*-2*1 + sqrt(84))\/((sqrt(144) - (sqrt(144) + 2*sqrt(144)*2))\/(2*sqrt(1452))))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(66)\/sqrt(11))\/(sqrt(2) + -5*sqrt(18)))**2.\nAnswer: 27\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*p - 24, -1427*p + 1423*p + 3 = x. Solve -8*b = -83 + x for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*(9 - 12 - 11)*(2 - 4 + 3)*(4 - 5 - 2).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + j + 3*j)*(9 + 14*j - 9) + 2*j**2 + 4*j - 4*j in the form v + m*j**2 + p*j and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-14)*1\/4. Let u(s) be the third derivative of 0*s + 0 - 1\/40*s**6 + s**2 + s**3 + v*s**4 - 1\/10*s**5. Let u(w) = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.42, 1\/25, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsss when four letters picked without replacement from ssssssssstssstssts?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/3083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 514\nAnswer: -154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 2*j**2 + j - 2. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 6*25\/30. Solve -2*m - d - 3*d + s = 0, -2*d + 31 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-560) + 570\/140?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2410, -2421, -2438, -2461, -2490?\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -93*j**4 + 792*j**3 - 2106*j**2 + 1296*j + 1215 = 0.\nAnswer: -15\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 1452*h**4\/5 + 88*h**3\/5 + 2*h**2\/5 + 198*h. Find r such that d(r) = 0.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, 2\/11, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*m**3 + 36*m**2 - 36*m**2 - 84*m**3)*(0*m**2 - 2*m**2 - 2*m**2).\nAnswer: 844*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23079922 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077949 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = d, 2*d + 3*d + 5 = -5*a. Let o(j) be the second derivative of -3*j + 0 + 1\/30*j**6 + d*j**2 + 0*j**3 + 1\/12*j**4 - 1\/10*j**5. Factor o(v).\nAnswer: v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 995435477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2308 - 2322 - (-18 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20 and 172444.717?\nAnswer: 172464.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/20 - (-151)\/4. Suppose f - 42 = -4*u - 4, -5*f = 5*u - 130. Let q = n - f. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - n**2 + 2*n**2 - 2*n**2 + 7*n**2 - n**2 - n**2 + 5*n**2 - 3*n**2 + (-n**2 + n**2 + n**2)*(-5 + 1 + 5) + (4 - 4 + 2*n)*(2*n - n - 2*n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 2 + 2 - 2. Suppose -t*f = 4*o - 4, -1 = -2*f - 5*o - 5. What are the prime factors of -16*3\/(-2*f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 30. Let q be o(11). Suppose q*w = 3*w + 5*w. Let m be w\/(2 + -1) + 4. Solve 0 = -3*t + m + 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -0*p + 5*p. Let r = 72 + p. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 - (1 - (0 + 0)). Suppose p = 4*w + w. Suppose w*j + 0*y = y + 39, -j + 13 = -y. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 50. Let z be c(-7). Let j(b) = -14*b**3 - 14*b**2 - 16*b - 1. Calculate the remainder when 237 is divided by j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0.2, 0, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210312 (base 4) to base 16.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 95 = 5*y + 1048, -2*y - 2911 = -3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*i - 7. Suppose 3*h - 9 = -3*d + 2*d, 5*d = 3*h + 9. Sort i, h, 0 in decreasing order.\nAnswer: i, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 183444576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 9*s**2 + 7*s - 10. Let a be h(-10). Suppose a = 5*d - d. Solve -d*k = 2*p - 9, 3*p - 7*p - 2*k = -10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 154. Let i(n) = 3*n. Calculate i(z(v)).\nAnswer: 3*v + 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104091032 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(1 + (-21)\/15).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**14)\/(c**22*c*c))**(2\/9) assuming c is positive.\nAnswer: c**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 2. Let p = 13 + -16. What is r(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1705104 divided by 2.\nAnswer: 852552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/35)\/((768\/56)\/(-12)). Which is the nearest to 3? (a) -2 (b) 0.1 (c) -0.144 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 140*a**2 - 2304*a - 5184 = 0. Calculate a.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.74 - -0.75. What is the third biggest value in y, -4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2520 and 1260?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19783)\/(-1679) - 560\/(-2576)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -86. Suppose -4 = -w + 5*r, -w - 5*r + 1 = -3. Suppose 3*m + g = m + 36, -m = -u*g - w. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2288.002ug?\nAnswer: 0.000002288002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.92 + -0.08. Let j = 0.18 + -0.28. Is j at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -224 and -0.2?\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:26 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 481285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2718 - 2716. What is the closest to 0.1 in d, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 110478940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -1, -74, 4 in ascending order.\nAnswer: -74, -5, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22499*a**3 - 9*a**2 + 5*a**2 + 22492*a**3 + 58*a**2.\nAnswer: -7*a**3 + 54*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.46776 and -3.\nAnswer: 199.40328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00345239946 to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 57 + 13. Calculate the remainder when 137 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**12*x*x))\/x*x\/(x**(-25)\/x)*(x**4\/x)**(-10) assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 divided by 3?\nAnswer: 712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 2 (b) 0.4 (c) 6 (d) -845 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4840*g + 2 - 9617*g - 2 + 4786*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -31, -57, -89?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + (-87)\/(-36). Let r = -25\/6 + z. Which is the nearest to r? (a) 3 (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, 54, 53, 52, 51, 50?\n\"Answer: -v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31272 - 30617979\nAnswer: -30586707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -359, -400, -441, -482, -523?\n\"Answer: -41*z - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15305 divided by -3061.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 557974340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -t, -2*t + 2*c = -5*t. Let j be -4 + 3 + -2 + 6. Let x be -2 - (8 - (j - t))*-1. Solve v - g = 8, 4*v - 11 = -x*g - 0*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874818.\nAnswer: 2, 3, 7, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 61*r**3\/6 - 45*r**2 - 19*r. What are the prime factors of y(8)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(605) + (sqrt(605) - sqrt(605)*1) + (1*(-1 + sqrt(605) - sqrt(605)))**2.\nAnswer: -2 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86940859*i*k - 20987516*k wrt i.\nAnswer: 86940859*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose 0 = -4*v + x + 895, -6*v + 2*v + 5*x + 907 = f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -691768193921 and -26.\nAnswer: -691768193947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 488257475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2 + 0 + 34*k - 5. Suppose 0 = -8*a - 2*a + 20. What are the prime factors of i(a)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554.1923us in minutes?\nAnswer: 0.000025903205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3731*h - 1160258. Give t(311).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -5\/6, -0.1, 7\/11.\nAnswer: -4\/3, -5\/6, -0.1, 7\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110876 is divided by 13856.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i - 2*i)*(7*i**2 - 3*i**2 - i**2) + 5*i - 4*i + 3*i**3 + 0*i.\nAnswer: -6*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 70*o.\nAnswer: -2*o*(o - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 32 = -5*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -97?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.38459? (a) 1 (b) 2 (c) 12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -17. Let i be (-6 - w) + 2 - -2. Suppose -5*x = -u - 2154, i*u + 353 + 76 = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 5*d**2 - 8*d - 8. Let j be u(-6). Let m = -8754 + 8757. Solve 0 = h - 4*h + 2*v + j, -h - m*v = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 + 5*f + 2. Let j be b(4). Let v = j + -26. Solve 5*g - g + v = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 0 - 7 = -7. Solve 1200*v - 1207*v + 21 = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2614 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 180 = -5*r, -t - 103 = -3*r - 3*t. Let o = r - 14. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 65136 + 13623. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*4\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.841865863 rounded to one dp?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-1155.\nAnswer: -16170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/(4\/(84\/(-9)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 38, 45, 54, 65, 78, 93?\n\"Answer: y**2 + 2*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - l + 53, -3*l - 9 = -0*l. Let j(u) = u**3 - 14*u**2 + 17*u - 27. What is the hundreds digit of j(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4507 + 4444.925. Let q = -0.075 - g. Let m = q - 61.79. Which is greater: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 209*l + 63. Suppose -3*p = -3*t - 12, 0 = -31*p + 32*p - 4*t + 8. Is u(p) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18250753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100124323 (base 5) to base 11.\nAnswer: 250236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101111011110 (base 2) in base 8?\nAnswer: -145736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 - z. Let k be t(0). Let r(b) = b**2 + 2*b - 5. Let g be r(-4). Suppose g*w + 2*w - 80 = k. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**8\/420 + 7*t**6\/90 + t**5\/5 + 4*t**3\/3 + 11. Let v(s) be the third derivative of p(s). Find a, given that v(a) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 186 - 6b918?\nAnswer: -6b772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*x**6 - 105*x**4 - 10*x**3 - 33*x**2 + 2*x + 48?\nAnswer: 840*x**3 - 2520*x - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 11:26 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 568 - 218. Suppose 0 = s*n - 348*n + 96. Is -49 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 485*q**2 - 974*q**2 + 486*q**2 - 3*q + 2*q. Let c(h) = 2*h - 17. Let d be c(13). Let t(k) = 2*k**2 + d - 9. Determine r(t(v)).\nAnswer: -12*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by 1.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 37*s - 40. What is the hundreds digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -62*(10\/(-40))\/(1\/(-2)). Let y = -30 - b. What are the prime factors of (y + -40 + 3)*(-4 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26390256 and 8.\nAnswer: 26390256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than 6931697?\nAnswer: 6931696.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 - 0.11. Let f = a + -0.05. Is -6\/19 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22732 is divided by 133.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-36))**(14\/9)*w\/(w\/(w*w**(-3)))*w**(-1\/6)*w*w*(w**(-2\/5))**6 assuming w is positive.\nAnswer: w**(1603\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + 3)**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6460 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864145 divided by -2.\nAnswer: -864145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(325) + (1 + sqrt(325) + -2*sqrt(325))**2) + (-3 + -5 + 6*(sqrt(637) - sqrt(13)))**2.\nAnswer: -591*sqrt(13) + 17890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f + 1. Let v(h) = 3*h**2. Give s(v(k)).\nAnswer: 21*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let x(v) = 302924*v. Give g(x(r)).\nAnswer: 1211696*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 1. Let p be f(2). Suppose -5*z + 2*c = 48, -3*z + 36*c = 38*c + 16. Let t be (-2)\/(-156) - z\/(-48). Put t, -0.3, 4, p in descending order.\nAnswer: 4, t, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 66.61.\nAnswer: -66.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 126976946 minus -11033?\nAnswer: 126987979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 60?\nAnswer: 13\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40226\/17071 - 101\/43. Which is the smallest value? (a) i (b) 5 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 6062?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6228, 6222, 6216, 6210, 6204, 6198?\n\"Answer: -6*j + 6234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 67*j - 5567. Give o(82).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 347*i**2 - 1089*i**2 - 23.\nAnswer: -742*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1638*k**2 - 23*k + 113. List the prime factors of w(-7).\nAnswer: 2, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821193?\nAnswer: 3, 29, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494273296.\nAnswer: 2, 11, 19, 79, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, -154, 68 in ascending order.\nAnswer: -154, 0, 3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093658 to five dps.\nAnswer: -0.00937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 39*z + 591. Let o be m(0). What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*f**5 + 170*f**4 + 62*f**3\/3 + 2*f**2\/3.\nAnswer: 2*f**2*(f + 1)*(15*f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38625872.\nAnswer: 2, 2414117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 3. Suppose -c*u + 2*u = 0. List the prime factors of -1 - -16 - (u + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.35 times -630?\nAnswer: 13450.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5169706106 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - (-7 + (13 - (20 + -26)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14)**(-9) assuming s is positive.\nAnswer: s**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + -10. Which is the biggest value? (a) 0.1 (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from kkqikqqqiiiiqkiikkk.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*(-1 - (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(363) + 0)*2 + -3.\nAnswer: -5 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/(1*(-1)\/32). 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: 28*(-62)\/(-19096)*1001\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41 + 41 + 9*v**2 + (2 - 5 + 5)*(-3*v**2 + 2*v**2 + 0*v**2).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19584058 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/9 - 17488*s\/3 - 34960.\nAnswer: -4*(s + 6)*(s + 13110)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376914420 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + 2 + 3 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10167004 is divided by 139273.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21737, -21745, -21757, -21773, -21793, -21817?\nAnswer: -21845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/87 in 0.5, 4, 0.6, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15161.2 rounded to the nearest 100?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {t: 2, q: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)**(-37)\/(b**(2\/17)\/b*b**(-14)) assuming b is positive.\nAnswer: b**(4157\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - u**4\/2 + 4*u**3\/3 + 11*u**2 + 14*u. Let n be i(-7). Is ((-732)\/n)\/(10\/(-25)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -0*m - 4*m - 3*s, -3*m + s = -202. Suppose 0 = -5*f + b + 208, 2*f + 2*b - m = -3*b. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 56, -1, -0.24, 1\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2606510768 to three dps.\nAnswer: -0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 + 1\/6*l**3 + 0*l**2 - l. Let c(x) = 6*x. Let t(d) = d. Let s(j) = 2*c(j) - 14*t(j). What is p(s(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, a: 1}. What is prob of sequence oa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 4)\/(30\/100). Suppose 4*v - 138 = 5*x, -7*x = -2*x + i. What is the remainder when v is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/9 (b) -2 (c) -0.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 263197 divided by -23927?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36665435 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -28 + 12. Let i be (1530\/j)\/((-9)\/(-36)). What is the tens digit of (4\/(-10))\/(0 - (-3)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 1, u: 2, s: 10, y: 4}. What is prob of sequence sya?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/8 + 201*i**3\/4 + 1047*i**2\/8 - 208035*i\/2 + 3213675\/2.\nAnswer: 3*(i - 23)**2*(i + 90)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 81 - 329. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 8. Let d be c(-8). Let u = -13 + d. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10069.8 - 10070. What is the closest to -1\/11 in m, 2\/3, -4, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 27 = -0*m. Suppose -3*k + m = -3*v, 0*v - 2*v = 5*k - 50. Calculate the highest common factor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -572.\nAnswer: -571.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -46*a + 9231. Let r(j) = 34*j - 9231. What is -4*r(y) - 3*s(y)?\nAnswer: 2*y + 9231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715127 is divided by 35600.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 - 4*z - 1. Let f be y(-3). Suppose -19 + f = -t. Let v(u) = 3*u**2 + 3*u - 3. What is the remainder when v(3) is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147*j - 151*j + 297*j + 67 + (-2*j + j + 4*j)*(3 - 3 - 2) + 5*j - 2*j - j + 0*j - 4*j + 3*j - 3 + 3 - j - 3 + 2*j + 3 + (-4 + 0 + 3)*(1 - 1 - 2*j).\nAnswer: -3*j + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 226*a**3\/3 + 267*a**2 + 327*a. Find the first derivative of x(r) wrt r.\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54396417*g**3 - 8*g - 3091559.\nAnswer: 326378502*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4)*50\/(-4). Let w(x) = x**3 + 20*x - 1 - 45*x + j*x. Let r(i) = -2*i**3 - i**2 + 2. Determine 2*r(c) + 5*w(c).\nAnswer: c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*t + 21, 8*t - 6*t - 15 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(38)\/sqrt(2)) + 4 - (sqrt(19) + sqrt(95)\/(sqrt(15)\/sqrt(3)) - sqrt(19))) + (sqrt(38)\/sqrt(2)*-5)**2*-5.\nAnswer: -2371 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7*x - 9*x - 156 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*n + 0 = 8, n = -c + 4. Let f be c*(-6)\/30*(-2)\/(-8). Factor f*q**3 + 2\/5*q**4 + 0*q**2 + 0*q - 2\/5*q**5 + 0.\nAnswer: -2*q**4*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33423189 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/224*-2*65\/5*7\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-20)\/(-38314))*(18 + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 16*w**2 - 18*w + 19. Let a be z(17). Let x be 202\/(a*1) - (18 - 18). Suppose p = 2*p - x. What are the prime factors of p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1288 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 0. Suppose -9*l + 11 + 7 = 0. Solve -3*v + z = -3*u, 3*v + l*u = -3*u + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*b - 1491*b**4 - 2386*b**2 + 64*b + 20*b wrt b.\nAnswer: -35784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/18 - (-4)\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -882.0681 - -882. Let y = a - -0.04447. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.6, -37 in descending order.\nAnswer: -0.6, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c4b - 1fa?\nAnswer: 5a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*v + 1065 - 1673 = 0, -3*z - v + 441 = 0. Is 152 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326008 is divided by 162957.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/480 and -35\/16.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-7))\/(14\/4). Which is greater: f or 351?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 609*x**2\/8 - 1370241*x\/8 - 10125\/4.\nAnswer: 3*(x - 2250)*(203*x + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 + (3 - (10 + -4)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/1129 or 80?\nAnswer: -60\/1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2697192*3.\nAnswer: -8091576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2196270 and 10200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553*d**5 - 49*d**5 + 107*d**5)*(1 + 0 + 0) + (-2*d**4 - 2*d**3 + 2*d**3)*(0 + 0 + 3*d).\nAnswer: -501*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -40 + 40 + 40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -36*i + 43. What is the remainder when z(-5) is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -15. Let u(o) = o**2 + 2*o + 8. Let a(w) = -3*w**2 - 5*w - 23. Let m(x) = -6*a(x) - 17*u(x). Let l be m(2). Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428914253 at least 428914249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:12 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 + 115 = -6*t - 17. Calculate the remainder when 336 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14351858 + -2?\nAnswer: 14351856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 25*z + 7*z + 2*z**2 - 8 - 9 - 17 = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 m when four letters picked without replacement from mztpytwwwytzwt.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2*l. Let y be b(2). Let s(i) = i**2 + i + 29. Let p be s(y). Suppose -k = 2*h - p, 8 + 7 = 3*k. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184438816 and 6.\nAnswer: 553316448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -10, 5*m - c - 178 - 17 = 0. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*x**3*z**2 + 4*x**2*z**2 - 5*x*z - 4*x + 3*z**2 wrt x.\nAnswer: 252*x*z**2 + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401776800 divided by 100444200?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 65 = 25. What is the units digit of (-2078)\/(-8) + 15\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(76) + (sqrt(76) - (sqrt(76)*-1 - sqrt(76)) - sqrt(76))))\/(-1*(sqrt(4) + -1*sqrt(4) - sqrt(4))) + 3)*6.\nAnswer: -54*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -157) + 100 + (223 - 357)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*3\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-7)\/14)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/7 + 1353058*o**3.\nAnswer: -o**3*(o - 9471406)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 + 12*q + 8. Let b be z(-14). What is b rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 128517 - 84?\nAnswer: 128433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(320))*-1)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 34*v**4 - 245*v**3 + 559*v**2 - 411*v + 63 = 0?\nAnswer: 7\/34, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-150))\/(6\/102).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -27896*q - 223081. Calculate t(-8).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4 and 124\/(-110)*((-165)\/12)\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-1 - -9 - (-1 - -9)) - -9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-11970)\/(-140))\/(-171))\/(26\/16)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**3 + 9*w**4 - 3*w**4 + 8 - 41*w**3 + 24*w**3 - w**2 in the form m*w**3 + n*w**4 + a*w**2 + z + k*w and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:09 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + 2*c + 13. Let d be l(5). Let o(v) = v**3 - 21. Let a(m) = 5. Calculate d*o(g) - 9*a(g).\nAnswer: -2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75473489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - 2*y**2 + 2 + 10*y**2)*(-44*y + 3*y + 23*y) as u*y**3 + d*y**2 + n + m*y and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73621642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 1917800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 916*g**2 - 6. Let v(y) = -5*y**3 + 4579*y**2 + 31. Give -6*v(r) - 31*w(r).\nAnswer: -r**3 + 922*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.41 - -0.69. Let b = 10 - a. Is -4 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 138. Find the first derivative of -387*s**2 - 13*s + s**3 - 15 + 387*s**q wrt s.\nAnswer: 3*s**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x**3 + 0*x + 0 + 2\/5*x**2 - 2\/5*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.23 - -38.83. Do -112\/3 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = x - 7*b, -3*x - 3*b + 42 = 0. Let u(w) = w**3 - 12*w**2 + 12*w - 13. Let q be u(x). Is (-1)\/q - (-1590)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -44, 5, -2 in descending order.\nAnswer: 5, 0, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396710 rounded to the nearest 100?\nAnswer: 1396700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - -0.1. Let o = -80479662949\/3487 + 23079915. Let z = 2\/317 - o. What is the third smallest value in 1\/3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -486*q**3 + 12*q**2 - 5*q + 3. Let j be w(-5). Suppose -j = -22*a - 13140. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*z - 4*m - 44039, 3*z + m - 26417 = 0. Let y = 12804 - z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 890, 828, 748, 644, 510?\n\"Answer: -y**3 - 3*y**2 - 46*y + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 831, 3371, 7639, 13641, 21383, 30871?\n\"Answer: i**3 + 858*i**2 - 41*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-2)\/(-4))*0. Let i be ((-60)\/(-9) - 7)\/((-1)\/15). Solve i*g + 50 = -5*a, -2*a + g = -z*g + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.7 + 20.7. Which is the third biggest value? (a) 0.5 (b) -4 (c) 0.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9936969 is divided by 374.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146556032 (base 7) to base 2.\nAnswer: -100101100111111101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -137664, -3, -112?\nAnswer: -137664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 144768 = 67*n. List the prime factors of n.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/1100*25 - (-5 - 321*(-16)\/(-66))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 4 + 4*s**3 - 2 - 2*s**2 to u*s**3 + q*s + x*s**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(400) - -3*sqrt(400))\/sqrt(10))\/(sqrt(1568)\/sqrt(4))*-5*1*6.\nAnswer: -720*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12380379*b**4 + 219*b**2 + 425*b + 6.\nAnswer: -297129096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 6*g + 5. Suppose -5*z + 3 = 38. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - 118*k - 473. Determine w(7).\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(900)*1 + sqrt(900)))\/(-3*(1*sqrt(486) + sqrt(486))).\nAnswer: -sqrt(3)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 0*w + 1 + 13*w**2 + 0*w.\nAnswer: 14*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or -89?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*k**3\/7 + 3848*k**2\/7 + 2984*k\/7 - 32 = 0.\nAnswer: -4\/5, 2\/29, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 114.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 798 and 228.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 + 4*l + 5. Let u be c(-4). Suppose 2*n + 78 = u*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 249678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 274*x - 8184.\nAnswer: -2*(x - 93)*(x - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 5*j - 9. Determine m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 15*t**2 + 11*t + 15. Let q be w(8). What is the greatest common divisor of q and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6876)\/3056*((-8)\/(-15))\/(2\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(2 + (-12243)\/6116) and 12.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (-1 + sqrt(76)))) + -5)**2.\nAnswer: -24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (177\/(-12))\/(4 - (-15)\/(-4)). Let m be 2*((-553)\/(-2))\/7. Let b = m + v. Calculate the highest common divisor of 160 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyw when three letters picked without replacement from {d: 5, y: 5, w: 8}.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**24*g*g**(-31)*(g**(-1\/12)*g)\/(g*g*(g\/((g**(2\/5)*g*g)\/g))\/g) assuming g is positive.\nAnswer: g**(-341\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202325 by 40465.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = l - 11, -4*l = -20. Suppose 4*y = 3*h + 2, -2*h + 16 = 4*y + f*h. Solve 1\/4 + 0*z - 1\/4*z**y = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*f - 141 = 566 + 112 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18908 in -0.37, 0.5, -5?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631067 is divided by 157764?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258164664*f**6 + 268987254*f**2 wrt f.\nAnswer: -30979759680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 36*u**4 - 4*u**3 - 676*u**2 - 960*u + 1600 = 0. What is u?\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -11.529?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -109 - (56 - (4 - -76))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let s(i) = 2*i + 1077. Determine n(s(b)).\nAnswer: -4*b - 2154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 230?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17621\/6 + 2944. Find the common denominator of v and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.2. Let t be (-26)\/9 + 7\/(-63). Which is the third smallest value? (a) 0.3 (b) 0.1 (c) g (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4868.929 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/6, -0.1, -11447, -5\/6, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 1:56 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnynnnytyynyn. Give prob of picking 1 t and 2 y.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 1, d: 4, s: 2, h: 4, x: 3}. Give prob of sequence xccs.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-36)\/33))\/(1\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 458785575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*11)\/((-31311)\/41748)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15988085 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzpdpzrrddrrrrrpdr. Give prob of sequence pdp.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or -1674228?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 174*j + 31. Let o(g) = -58*g - 10. Let q(f) = 2*a(f) + 7*o(f). Let x be q(4). Let n = -97 - x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a minute in seconds?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14 = -6. Suppose y - 1 = -s + 1, 2*s = -w*y + 8. What is the first derivative of -t**3 + 2 + 0*t**3 + s*t**3 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/49 less than or equal to 1\/5093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*n + 33 = 0, r + 5 = n + 2. Suppose -r*i - 2*i + 36 = 0. Suppose -i + 317 = 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 + y + 1. Let u = 15 + -11. Let i be a(u). Let c be 1 + 1 - (-1 + 1). Solve -3*k = -c*t + 14, 3*t = i*k - 2*k + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 < -43\/17834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4998316.03 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 25. Let s be n(27). Suppose s*h - 3*u + 181 = 0, 0*h + 5*u - 271 = 3*h. Let k = 177 + h. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 2\/7 (c) 0.0197 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 - 2. Let b(f) = 7*f**3 - 5*f**2 - f + 11. Let z(y) = b(y) - 6*k(y). What is z(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2341986.6 seconds?\nAnswer: 39033.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 17*m. Suppose 62 = 4*q - 4*j - 22, 3*q - 4*j = 67. Let h be n(q). Solve -4*o + 1 - 21 = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(54)\/(sqrt(9)*-2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1402 - 14.8598. What is the nearest to 13 in -1, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4109068.999954 - -4109065. Let m = a + 4. Round m to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)*1 - 798668\/223678. Let y = n + -1\/1229. Which is the nearest to -9? (a) y (b) -1\/3 (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -53 (c) 48 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -761 (c) -5 (d) -37 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -638?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 + 22*z**2 + 11*z**2 - 16*z**2.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose -5*q + h*z = 6*z - 18, -8 = -4*z. Suppose 3*p = -q*p + 215. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i + 2*r + 12 = 0, 2*r + 9 = -i. What are the prime factors of i + (0 - -2) - -25?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-9)\/(-45) + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2211754242 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/3 + (-24)\/(-36). Suppose -2*u + 20 = 2*u, 4*u = -w*g + 1211. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10869374 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 25. Let k = 39 + q. Suppose -3*t = -8*t + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - -4 - -5 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1533)\/(-178*322\/(-401212)).\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93105953 and 4587.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.5 + -41.2. Which is the nearest to k? (a) 0.2 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3756, -19107, -46046, -84573, -134688?\n\"Answer: -5794*b**2 + 2031*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*f - 10, -5*m - 21 = 2*f + 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -32*w**2 + 2. Let l(y) = 386 + 2*y - 766 + 380. Calculate u(l(f)).\nAnswer: -128*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159028808 and 218664611?\nAnswer: 1749316888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 40*u - 13*u - u**2 + 5 in the form c + o*u + r*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 + 5*p + 6. Let a be c(5). Let n = a - 19. Calculate the smallest common multiple of n and 2\/(-7) - (4 - 200\/14).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 8*t**2 + 13*t + 14. Let x = -49 - -43. Let q be y(x). Suppose -q*v + 72 = -6*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 136148*s**2 + 6952329384*s - 125097820848.\nAnswer: 2*(s - 102102)**2*(s - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 4988.\nAnswer: 97\/4988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -38*m**3 + 5*m**2 + 2*m + 5. Let u(j) = 19*j**3 - 3*j**2 - j - 3. Let a(v) = -3*b(v) - 5*u(v). What is a(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/97 + -172\/1067. Is -1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-3444)\/(-18))\/(-7). Let j = 181\/3 + p. Find the common denominator of 68\/57 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + sqrt(216)*2*1)*4)\/(sqrt(64)\/(-3*sqrt(968))*4).\nAnswer: -297*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = w + w + 29, -4*r + 12 = 4*w. Let p(k) = -k**3 + 3*k**2 + 3*k + 2. Is 9 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453\/119 + -72\/17. Let a = -0.32 + 0.02. Let x be (1 - (-3)\/(-2))*(-440)\/(-2090). What is the biggest value in f, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 150 = 6*f. Calculate the remainder when f is divided by 1*26\/2*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 66 = -3*v + 42, 5*v = 3*g - 24 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 344, 782, 1386, 2150, 3068?\nAnswer: 4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224620334 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 + 12*t**2 + 58*t\/5.\nAnswer: 2*t*(t + 1)*(t + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 + f**5\/20 + f**4\/12 - f**3\/3 - 36*f**2. Let t be r(-2). Is -9 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*t - 3*x + 8*x, -2*x = -2*t + 40. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + n = -21. Which is greater: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -618, -2423, -5424, -9615, -14990?\n\"Answer: l**3 - 604*l**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(4\/(-12)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*j*m**3 + 13*i**2*j*m - i**2 + 48364509*i*j*m**3 + 7*i*j + 5*i*m - 85976*m wrt m?\nAnswer: 12*i**2*j*m + 290187054*i*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18 and (3\/(-18)*-9)\/(18\/83).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - 0 - 17) + 6 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 196 + 280 = 0. What are the prime factors of k\/(-18) - 4\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 5. What is n(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:03 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 107 + y + 293.\nAnswer: 3*y + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x + 30. What is q(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**4 - 2 - y + 0 + 8*y**4 as m + c*y**4 + v*y**3 + h*y + s*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 450*z**3 - 2965*z**2 - 109020*z = 0. Calculate z.\nAnswer: -12, 0, 23, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 44*d**2 - 2*d. Let u(a) = a. Determine y(u(c)).\nAnswer: 44*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - ((4 - -1) + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/3)\/u*u)\/u**(-2\/9)*(u*u**1)**(-2) assuming u is positive.\nAnswer: u**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2684.\nAnswer: 4\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16850059 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39974\/2057211 - 3\/5861. Calculate the common denominator of i and (-11)\/(-6) + (-144 - -133) + 0.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -2022222101121?\nAnswer: 2022222101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32790*g*v + 1639*v - 1 wrt g?\nAnswer: 32790*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176)*-5 + (sqrt(176) - (sqrt(176) + 2*-2*sqrt(176))))\/(sqrt(196) + sqrt(196)*2*-6 - sqrt(196)).\nAnswer: sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 4*a - a - 12941*a**2 + 13138*a**2 - 2*a - 2 to the form b*a**2 + f + z*a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 43 = -3*f + 5*m, 0 = -2*m + 10. Let n be ((-3)\/f - 0)*42. Solve 0 = 3*x + 3*s + 15, -4*x - n = x + 4*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 x when three letters picked without replacement from iivivikxvxvixikqvi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 2, n: 1, t: 2, u: 1, d: 3}. What is prob of sequence wddd?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (5 - 1) - (5 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -4*f - 18*j + 12, -4*f - 5*j = -18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-40)*(-16)\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 equal to 117246\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -2.35. Let v = p + 0.7. Let l be (-3 + (-18)\/(-5))\/(-1). Sort 1, v, l in decreasing order.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -30.7\nAnswer: 63.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((384\/176)\/12)\/((-32)\/(-44)))\/(95\/120)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5874 = -2*t + 2*s, -2*t + 3*s + 5876 = 2*s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1302675 by 1302675.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2\/4 - 1601825*h - 513168666125 = 0. What is h?\nAnswer: -640730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 - 201605*a - 3630510 = 0. What is a?\nAnswer: -18, 40339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 45. Suppose 4*o - 15 = o, -2*o + 10 = r. Let c be f(r). Let a be (-235)\/c - 4\/18. Solve 2*h - 3*h = a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9259 and 394.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 9*l - 6. Let g be u(-8). Let y be g\/(-6) + -1 + 66526\/(-111). What is y rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -222, -448, -678, -912, -1150, -1392, -1638?\n\"Answer: -2*m**2 - 220*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 6. Let l(j) = -j + 1. Let o be (3\/2)\/((-6)\/24). Let v(k) = o*l(k) - t(k). What is v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16656*l**2 + 33309*l**2 - 16656*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (3*sqrt(176))**2 + sqrt(176) - sqrt(176)) + ((sqrt(176) + 2)*-1)**2)*-2.\nAnswer: -3530 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2240\/352*(105 + -94).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f + 105. Let t be 676\/130 - (-4)\/5. Let a be v(t). Solve -a*n + 2*n + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -41. Suppose 98 - 321 = -5*d + 4*o, 4*d = h*o + 178. What is the remainder when d is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159356 is divided by 1273.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3138 or -7.9911?\nAnswer: -3138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2. Let l(n) = 71661042*n. Determine l(p(j)).\nAnswer: 143322084*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184778 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 1. Let r(o) = 6*o**3 + o**2 - o. Let h(w) = r(w) + x(w). Let u be h(1). Let s(f) = -f**3 + 6*f**2 - f - 5. Does 3 divide s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*t + 6, 5*t = 4*u - 9*u + 35. Factor -4*m**2 + 17*m**5 + 3*m**u - 19*m**5 + m**4 + 2*m.\nAnswer: -2*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11233, 22614, 34141, 45820, 57657, 69658?\n\"Answer: d**3 + 67*d**2 + 11173*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338340 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 5, h: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 545198681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 84*(-35)\/2310*-11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y. Let m = -808 - -10498\/13. Is m smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) + 7112\/(-3). Let t = -52 + 55. List the prime factors of ((-1)\/t)\/(10\/f).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + (1*sqrt(1782))\/(sqrt(18)\/(sqrt(225) + sqrt(9)))*-1)**2.\nAnswer: 216*sqrt(11) + 32080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**6 + 5\/24*m**4 + 0 + 0*m + 0*m**3 - 1\/70*m**7 - 6*m**2 + 0*m**5. What is the second derivative of q(h) wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-29)*p*p)\/p)\/p*p*p\/(p*p**(1\/7)*p)*p*p)\/((p*p*p**(-24))\/p**(-8\/15)) assuming p is positive.\nAnswer: p**(5704\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 - -128933?\nAnswer: 129028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 107 - 323 = 0. Let t = 46 - b. Let h be 60\/(t + 2) - -4. Solve -4*w = h + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/8)\/(1\/4). Let p(d) = d**3 + 8*d**2 - 10*d - 8. Let f be p(x). Let o = 9 - f. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose 2*r + 5 - 23 = -t*b, r - 3*b = -11. Solve 0 = -2*m - r*o, -o = -m - 3 + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4716 + -217162?\nAnswer: -212244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177\/(72\/1314*(-3)\/(-8))?\nAnswer: 2, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84035689.\nAnswer: 19, 4422931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 40 = -6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njj when three letters picked without replacement from jjnj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88152*k**3 - 2*k**2 + 524686*k?\nAnswer: 528912*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/5)\/((-6)\/(-15)). Suppose -44 = -y*t + 16. Solve -x + 2*x - 5*w = 5, 5*w + t = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -53*g + 749. Let o be i(12). Solve -108*h + o*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -24 - (-157 + 191)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -g - 3*c, 255*c - 257*c = 3*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 373254*q**3 + 46202*q wrt q.\nAnswer: 2239524*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4331623*f - 3617537 wrt f.\nAnswer: -4331623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302144 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-35)*5 + (-30)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g + 3. Let a be v(0). Let h(l) be the third derivative of -1\/78*l**4 + 1\/780*l**6 - 6*l**2 + 0*l + 0*l**a + 0 + 1\/390*l**5. Factor h(i).\nAnswer: 2*i*(i - 1)*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1006712 or -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15*m**3 - 260*m**2 + 325*m - 80 = 0.\nAnswer: 1\/3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 69. Let f = 15 - -31. Let m = f - p. Solve -m = i - 2*i, -5*l = -2*i + 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4762, -19119, -43062, -76609, -119778, -172587?\nAnswer: -235054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1112237, 2224471, 3336703, 4448933, 5561161, 6673387?\nAnswer: 7785611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4948557996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61, 64, 67, 70, 73, 76?\n\"Answer: 3*l + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 - 104. Let z = 49 + -7. Let i = z - t. Let b(h) = h**3 - h - 3. Calculate b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o - 2*o**2 - o**2)*(-2 + 2 + 2)*(-32 + 1 + 3)*(-5*o + 5*o + 3*o**2).\nAnswer: 504*o**4 + 168*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*k**4 + 14?\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 498 = -r + 5*r, 0 = -2*r - 4*i + 234. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24093 by 1.\nAnswer: 24093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24076.94ml?\nAnswer: 24.07694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvf when three letters picked without replacement from fvfffvfvffwwfffwffvf?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**5 - 16*n**4 + 97*n**2 + 7. Let h(s) = 3*s**5 + 8*s**4 - 49*s**2 - 4. Let t(l) = 4*g(l) + 7*h(l). What is the third derivative of t(i) wrt i?\nAnswer: 60*i**2 - 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 50400755*x**3 + 10*x**2 = 0.\nAnswer: -2\/10080151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.46 + -3.76. Let d = 39 - o. What is the second biggest value in d, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 1457*y**7\/105 - y**5\/60 - 805*y**4\/4 - 6*y**2 - 170*y. What is the second derivative of t(c) wrt c?\nAnswer: 34968*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918461 is divided by 447.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 3\nAnswer: -217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**4 - 5*m - 1 + m**2 - 85 + 44 + 41 - 2*m**3 as b*m + i + u*m**2 + f*m**4 + q*m**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28210.03 to the nearest one hundred.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56200 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + 829008\/(-12597) - (-2)\/17?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = w + 39, -2*w - 71 - 15 = 2*p. Let y be 594\/8 - (-3)\/(-12). Let f = y + w. Which is smaller: 25 or f?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -33, -30, -15, 18, 75, 162, 285?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:43 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c + 3*k - 1, 4*k + 4 = 0. Let q be (c + -3)\/(6\/1). Let w = 64 + -60. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (18 + -17 + -8) - (-1 - 40) - -2\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3596075 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1947985261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in 102.4, -0.4, -2?\nAnswer: 102.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1358*u - 9250 - 47448 + 11884 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133579, 267158, 400737, 534316, 667895?\nAnswer: 801474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845773 is divided by 93974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-3532.\nAnswer: -2119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 848798 and 778.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/((-9)\/81). Solve 0 = -3*r + 6 + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 590.2556 years?\nAnswer: 5.902556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -31. Let d = b - -29. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 55*i - 440 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000030672706 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 5*r + 26. Let k be q(8). Let g be k*6\/4*1. Solve g*s + 2 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*y + 2*y + 49, 0 = -2*j - 3*y + 44. Let q = 11 + j. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let b = -1009 - -1008. Sort -9, b, s in decreasing order.\nAnswer: s, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/5, -1, -0.3, 1451?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 - 2. Let a be n(-3). Let f be 2*22*(-1 - 0). Let g = f + a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.2015 grams to nanograms.\nAnswer: 15201500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:26 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152895, 153036, 153199, 153396, 153639, 153940?\nAnswer: 154311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45471986 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60748 is divided by 57405?\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.55229 - -11815253?\nAnswer: 11815241.44771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9118 and 293718134?\nAnswer: 9118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -22?\nAnswer: 135\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*k - 12. Let p = k - -23. Suppose 2*z = -0*d - 4*d + 24, 0 = -d - 2*z + 12. Solve 5*g = 5*o + 15, 0*o + p = -d*o + 5*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose 4*s = h*s + 68. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103402221 + 1?\nAnswer: 103402222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/12 - 5*k**3\/3 + k**2. Let c be t(7). Suppose -3*l + 7*n + 9 = c*n, 0 = 2*l - 4*n + 2. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 38 = -42. Is x at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**2 + 10*v**4 + 2*v**2 - 3*v**4 wrt v.\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485939.1 minutes to seconds.\nAnswer: 29156346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -632 + 1897\/3. Are l and 7.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 10*s**2 + 8 - s**2 - 7 - 9 + 4. Let u(i) be the first derivative of 14*i**3\/3 + i**2 - 6*i - 80. Calculate 8*l(g) - 5*u(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -36*a - 3. Let m be z(-2). Let y = m - 43. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 - 11*l + 88. Calculate x(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181.998 - -0.002. Let q = g + -193. Which is the smallest value? (a) 0 (b) q (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from iiiuuuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 20*n**2 + n - 3. Let q be h(8). Suppose 4*d - q = -145. Solve -10*i - d = -9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17611554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 - 4*l**2 - 17*l - 7. What is the remainder when h(6) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:12 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/13 - (-22)\/143. Solve 4*h + 4*l - 9*l = -15, -5*h - 23 = -k*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + b + 3*b)*(-1 + 4 - 1)*(1710 - 2987*b**3 - 1710) in the form m + p*b**3 + y*b + l*b**2 + f*b**4 and give f.\nAnswer: -11948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*s**3 - 2*m**2 + 20291*m + 413*s**4 + s wrt s?\nAnswer: 3*m**2*s**2 + 1652*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4218027 is divided by 199.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*o - 48. Sort -1, 3, 5, o.\nAnswer: o, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 314, 545, 818, 1127, 1466, 1829, 2210?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)\/sqrt(4))\/sqrt(2) + (sqrt(11) - 1*sqrt(33)\/sqrt(3)))**2 - (-4 + (-1 + sqrt(11)*-1)**2)) + -4.\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102.39022 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-231))\/((-12)\/(-66)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/2605 (b) 2\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 564\/4230*3\/7\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*q**2 + 3*q**2 - 210*q**3 + 1183*q + 140*q**3 + 815*q wrt q?\nAnswer: -420*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1884*(25 - -10)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 135*i**3 - 55*i**2 - 55. Let q(g) = -5*g**3 + 2*g**2 + 2. Let p be 8\/18 - (-448)\/126. Give p*t(n) + 110*q(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 0*c + 7\/2*c**2 - 199 - 1\/3*c**3. Factor z(n).\nAnswer: -n*(n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 19*j**2 + 3*j - 8. What is h(2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6 - 0) - (-1 - (10 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5325*g - 14922 - 182103 = 0 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**2 + 135*f - 138*f + 2*f**3 - 2 - 14*f**2 to the form r + h*f**2 + m*f**3 + y*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.732 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 2 - (-14 + 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 - 104*x**4 + 2*x**3 + 104*x**2 = 0. What is x?\nAnswer: -52, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11152 and 560720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -37\/11, 1\/45, -0.13, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -357\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*t - 47819 - 827131, t = -4*j + 699955. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/40073 and -25\/320584.\nAnswer: 320584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/48*40\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -478 * -0.3\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*j**2 - 13 + 16 + 431*j**2.\nAnswer: -6*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (14 - 25) + (-11 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2\/8 - (-3)\/4). Let g(i) = -1. Let t(u) = 2*u - 2. Calculate s*g(x) + t(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Suppose k = -k - 14. Let v be x(k). Let y(r) = -r**3 - 15*r**2 - 14*r + 20. Calculate the lowest common multiple of y(v) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*b + 157*b + 2075 = -103*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 + 88*g - 420 = 0. What is g?\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12782, 25808, 38774, 51650, 64406?\nAnswer: 77012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 7*m**2 - 3*m + 3. Let g be (-1)\/((-3)\/(-21) + 0). Let k(a) = -2*a**3 - 13*a**2 - 6*a + 5. Let w(q) = g*z(q) + 4*k(q). Factor w(r).\nAnswer: -(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lollslssojjssk. Give prob of sequence jo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, 575, 2040, 4961, 9842, 17187?\n\"Answer: 84*n**3 - 28*n**2 + 9*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -318 - 221?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/3 + 1336*i. Let j(h) = -109*h**2. Calculate j(r(g)).\nAnswer: -436*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232054 (base 6) to base 8.\nAnswer: -46702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 + 285*r\/2 + 1602.\nAnswer: 3*(r + 12)*(r + 178)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3 = -2*a, 0*a - 3*i + 4 = -5*a + 25 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-24)\/6. Let x(h) = -4*h**2 - 4*h - 4. Let g(r) = 5*r**2 - 3*r**2 - r**2 + 1 + r. Give n*x(p) + 14*g(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-8))\/(3\/24). Suppose -5 + r = -x. Is -5 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*o = 0, 2*o + 10 + 0 = 3*y. Suppose -14 + 6 = y*j. Let a be (22\/(-6))\/(-18 - (-49 + 30)). Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011111100100010011 (base 2) to base 14.\nAnswer: -6810b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -117*p**2\/7 + 6*p\/7 = 0?\nAnswer: 0, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -14.089056?\nAnswer: 648.096576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 + 948*s**3 - 14208*s**2\/5 + 14204*s\/5 - 4734\/5.\nAnswer: -2*(s - 2367)*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -15. Calculate the greatest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 770*w**2. Let z be v(1). Suppose -2*m - 5*m + z = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -41) + -22 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 177 = -6*b. Let z = -189 + 194. Solve 2*r + 2*r + b = -z*s, r = -5*s - 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 + 131 + 26*u**2 + 8*u**3 - 45*u**2 - 11*u**3 with respect to u.\nAnswer: -9*u**2 - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 8. Suppose 0 = s*a - 3*a. Suppose a = 3*r - 2*r + 3. Put 3, r, -5 in ascending order.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 31, 850, -4, -2 in decreasing order.\nAnswer: 850, 31, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 933 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 83122 = -5*z + 60985, h + 3 = 0. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -9\/4, -0.07, -0.1, 2, 17.\nAnswer: -9\/4, -0.1, -0.07, 0.3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/12 - 7*g**3\/3 - 20*g**2 - 100*g\/3 + 76. Factor l(z).\nAnswer: -(z + 1)*(z + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1 + 59 + 3 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 269228, 1076930, 2423094, 4307708, 6730760, 9692238?\n\"Answer: -2*z**3 + 269243*z**2 - 13*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 1\/3*g**4 + 4*g + g**3 + 0 - 3\/2*g**2 - 1\/20*g**5. Let k be s(5). Solve 0 = 3*r + k*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*f = 5*g - 242*f + 45, -22 = -3*g + 4*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 54799709.16.\nAnswer: 54799708.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-15126.\nAnswer: 3025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/157 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*2\/((-8)\/(-5)). Let t(n) = -n. Give t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 - 252447*m.\nAnswer: -3*m*(m + 420745)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6089 times -77\nAnswer: -468853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 37*r + 69. What is q(39)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*((-64)\/392)\/4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 39955644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times 1043966.5\nAnswer: -13571.5645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -28*y + 1. Let h be ((-42)\/35)\/(1\/5). Is s(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Suppose -2*m + 8 = 2*m + i, 4 = -i. Suppose -15 = -3*k, m*w - 5 = -0*k - 4*k. Calculate s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*h - 16 = 0, x + 21 + 3 = -5*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*c = 243*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*p**2 + p + 2)*(17*p - 17*p - 15*p**2)*(2 - 2*p - 2).\nAnswer: -60*p**5 + 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 3*z. What is the tens digit of z - 72\/(-33) - (-669)\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from rrgyyyyryxyrxyyy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7125724.\nAnswer: 2, 673, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1590)\/(-105) + -15)\/(30\/1239) and (-4)\/18 + (-309)\/(-324).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 14. Let m(k) = -k - 1. Give -d(j) - 12*m(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 64, 133, 230, 355, 508, 689?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 + 193. Solve 3*d + 2 = l*z, 0*z - 6 = 3*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 9*v + 42. Solve v = -14*l + 10*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4657320, 4657322, 4657324, 4657326, 4657328?\nAnswer: 4657330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Suppose 30*x + 37 = 157. Let t(i) = 23*i - x - 30*i + 3*i. Determine -3*d(w) - t(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/6 + 158278*x\/3 - 11711203\/6 = 0.\nAnswer: 37, 316519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17322969\/128 + -135335. Calculate the common denominator of 53\/6 and q.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + b**5 + 2*b**4 + (12*b + 5*b**5 - 12*b)*(2 - 4 + 0) + 3*b**2 - b**5 - 3*b**2 + (-7*b**5 + 3*b**5 - 2*b**5)*(2 + 4 - 4) - 5*b**5 + b**5 + 2*b**5.\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/(-28) + 4\/14. Suppose q - k = -0*q. Solve 2*v = -m - 12, 3*m + 3*v = -18 - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -639 + 647. Let j(l) be the second derivative of 0 + 0*l**2 - 1\/66*l**4 + 1\/110*l**5 + 1\/165*l**6 - q*l - 1\/33*l**3. Factor j(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/572 - (-214)\/(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1361229 - -2089598. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 11*d**2 - d + (d**2 - 2*d**2 + 0*d**2)*(-3 + 1 + 0))*(20 + 13 - 5) to the form g + c*d + r*d**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -286*o - 54. Let m be i(-19). Let x = m + -3843. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.350025 - -0.35. What is g rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2.63 (b) -1\/1964 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 38505.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1695569.8 + 261085.8. Let u = s - -1434485.699994. Let w = u + -1.7. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 105 + 1824 = 0. Let c(n) = 8*n - 18. Let v be c(2). Is v*(-2)\/(-12)*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4 - 291*d + 902*d - 289*d - 3 - 307*d. Let j(m) = 15*m**2 + 7*m + 7. Let s(a) = 7*a**2 + 3*a + 3. Let w(u) = 3*j(u) - 7*s(u). What is w(o(r))?\nAnswer: -900*r**2 - 120*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(704) + 3 + sqrt(539) + -1 + -5 + -4 + -1 + sqrt(176).\nAnswer: -7 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 23*x**2 + 4*x - 88. Let f(j) = -68*j**2 - 14*j + 270. Give 7*c(d) + 2*f(d).\nAnswer: 25*d**2 - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1320256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -848, -906, -1004, -1142, -1320?\n\"Answer: -20*z**2 + 2*z - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 106, 152, 198, 244, 290?\n\"Answer: 46*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34242 (base 6) in base 14?\nAnswer: -1aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 + 6 + -5 + -5 + 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:06 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**8\/2856 + f**7\/595 - 19*f**6\/1020 - f**5\/170 + 3*f**4\/34 + 631*f**2. Suppose b(z) = 0. Calculate z.\nAnswer: -6, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 + 267. Suppose f + d - 134 = 0. What is the smallest common multiple of 32 and f?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 12573951.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7. Let n = -413\/1691 - -3\/89. Let i = -50\/57 - n. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 - -388. Calculate the highest common divisor of h and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621730 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 133, -1\/3, -38, -0.057?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124, -108, -82, -46, 0, 56?\n\"Answer: 5*o**2 + o - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1059828 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793480037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -422106.\nAnswer: 1\/211053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 3866034?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.54678 nanograms in milligrams?\nAnswer: 0.00008454678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 1624?\nAnswer: 1948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m, 5*r = 6*r + 2*m + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4109485 (base 10) to base 4.\nAnswer: -33223102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*p = -444*p - 60 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*i - 10 + 5\/2*i**3 + 10*i**2.\nAnswer: 5*(i - 1)*(i + 1)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -77*l + 2. Let v be (1 - (-6)\/(-4))\/(10\/(-60)). Let u be -3 - (-1 + v - -2). Is n(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + (15 + -4 - -4) + -8 - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 74.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 254316.8+-4\nAnswer: 254312.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3726 divided by 6\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3744 and 4992.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13783121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (45 - 31 - (1 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20*-1)\/(1 - 2). Suppose w - o = -4*w. Find the third derivative of 2*v**4 - v**2 - v**5 - 2*v**w wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*v + 3, 0 = 6*u - 8*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514 + 484 - 998 - 836*i.\nAnswer: -836*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*m**4 - 56*m**3 - 7*m**2 + m - 2622480 wrt m?\nAnswer: 40*m**3 - 168*m**2 - 14*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0 - -4) + (39 - 37). Solve -5*i + 4 = 9, i = -5*u - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 214384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5\/60 + 17*d**2\/2 - 9. Let m(x) be the second derivative of r(x). Let o(g) = -2*g + 5*g + 0*g + 0*g. What is m(o(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Is -6\/29 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**8\/6720 - b**7\/420 - b**6\/720 + b**5\/30 - 11*b**4\/24 - 4*b**2. Let s(z) be the second derivative of d(z). Give s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4)*(1175*d - 2970 + 2970)*(3*d + 2*d - 3*d + (-4*d + 5*d - 4*d)*(2 + 3 - 3) - 4*d - 2*d + 4*d) as j*d + r + v*d**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 3, i: 1, y: 2, w: 1, k: 3}. Give prob of sequence ywi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/58 (b) -1\/3 (c) -1\/9 (d) 4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (673 - 1133 + 980)*(0*z - z - z)*(1 - z**2 - 1) as s*z**2 + w*z + k*z**3 + u and give k.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 764, -1, 7, -18 in increasing order.\nAnswer: -18, -1, 7, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4293*p**2\/2 + 8591*p\/4 + 5\/4 = 0. What is p?\nAnswer: -1, -5\/8586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1008)*1 + sqrt(1008) - -1*sqrt(28)*2))\/(-6*-1*sqrt(400)*4).\nAnswer: -7*sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -5*s - 7. Let q(f) = -f**2 + 26*f + 24. List the prime factors of q(s).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = -2*f, -f = 4*f - 5*t - 5. Suppose f = -4*w - 0*w + 16. Which is the third biggest value? (a) -2 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 + 2*m - 1. Let a = 80 - 85. Let b be a\/(-30) + 3\/(18\/(-13)). Calculate q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 701384.\nAnswer: 3\/701384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*-6 - (2 + sqrt(343) + sqrt(7)))**2.\nAnswer: 56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - 146. Let u be ((-11)\/d)\/(1\/(-3)). What is the smallest value in u, 1\/6, 2\/43, 3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -49 (b) -2 (c) -126 (d) 5 (e) -5 (f) 4\/3 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61121\/10 + 6101. What is the common denominator of v and -31\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/30)\/(((-16)\/(-6))\/(226\/(-1017)))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/137 (b) -1 (c) -5 (d) -2 (e) -8 (f) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4096, -8155, -12222, -16303, -20404?\nAnswer: -24531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -14. Calculate the remainder when 20 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -24 - (2 + -3). Let r be 1\/4 - (-7)\/4. Suppose -k + 51 = r*o. Calculate the remainder when 46 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -988, -3928, -8820, -15664, -24460, -35208?\n\"Answer: -976*q**2 - 12*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1185, 2448, 3711?\nAnswer: 4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694409 is divided by 268?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 22*m**2 + 1. Let k(t) = t - 3647 + 3647. Give f(k(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 12*i**2 - 16*i + 12. Calculate h(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 642.0028 + -642. Round y to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, -126, 0 in decreasing order.\nAnswer: 0, -4, -13, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -115?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8751880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*o**2 - 878*o wrt o?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 9*w**2 - 4*w - 13. Is b(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 12. Let n be v(-7). Let p = -6 + 5.5. Which is the closest to 2\/7? (a) n (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bc2f + -276?\nAnswer: 2b9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/14 + (-28)\/(-49). Let t be (-4)\/(((-8)\/6)\/(-4)). Let y be u\/t + (-5520002)\/(-6). Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5 - 0. Let s be (-36110)\/(-165) + w\/(-3). Let b = -219 + s. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 7*g + 1. Let m be r(5). Let i = 16 - m. Let c(d) = -d**2 - 8 - d + 5*d + 25 - 11 + 2*d. What is c(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 3. Suppose 7*i = 8*i - 7. Let p(d) = 3 - 2*d + 9 + i - 15. Give -3*k(g) - 2*p(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-105)*((-36)\/(-8) - 3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*i**3*s**3*y - 3068*i**3*s**2*y**2 + 9*i**3*s**2 + 2*i**3*s*y - 4*i**2*s + 2*s**3*y**2 wrt y?\nAnswer: -6136*i**3*s**2 + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 0, -k - 2*g + 10 = k. Suppose 3*f + 9 = k*q, 7*q = 4*q - 3*f - 9. Find the second derivative of 0*s + q*s + 2*s + 9*s - 2*s**4 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/920)\/(473\/(-12384)).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135750 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from hpww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45)*-1 - sqrt(45))\/(3*sqrt(144)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10394075 is divided by 67.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxii when four letters picked without replacement from dixi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7638 by 58948.\nAnswer: -3819\/29474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 289179 = 12*p. Suppose 6*y - 3*y = p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 22*s**2 - 9*s - 1347. What is q(13)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/8*(9058\/(-651) - -14). Let g be ((-28)\/(-21))\/(2\/3). Let l(h) = h**2 - 3*h + 1. Let q be l(g). Is z at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2894, 0, -4.\nAnswer: -4, -2, -1, 0, 2894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f - f**4 + 0*f**2 + 0*f**2 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5618 * 5.\nAnswer: -28090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1135177477 to the nearest one million.\nAnswer: -1135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, e: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 4*n - 7. Let b = -6 - -7. Let z(m) = m - 1. Let t(y) = b*d(y) - 6*z(y). List the prime factors of t(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-14 - (-10 + -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*p**3 + 69*p**3 - 105 - 183*p**3.\nAnswer: 3*p**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2884315.824 rounded to the nearest 1000?\nAnswer: -2884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2*q - 3 + 2*q + 2*q) + (-q + 1 - 1)*(4 - 2 - 1).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 150 + 5?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 267 = -j, 104*j - 105*j = -5. Let o = 158 - v. Are o and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(55\/12))\/(4\/(-20)). Is 3\/(-9) - (-3 - 9436\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -507, -758?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5)*(3*q**2 + 5*q**2 - 5*q**2) + 21*q**2 - 2*q**2 + 4*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49351\/10388 - -2\/2597. Do -4 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q + 116*q**3 + 10 - 117*q**3 + 17*q - 7*q**2. What is the lowest common multiple of 4\/6 - 4\/(-3) and u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 676880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -492*o + 7. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 - -0.46. Let s = -135.27 - -135.37. What is the closest to h in s, 0.2, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/(18\/16)*3 and (-12)\/(-9) - (-9)\/(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -24, -22, -20, -18, -16?\n\"Answer: 2*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3234)\/2475 - (4\/15)\/((-18)\/90).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -27, -34, -43, -54?\n\"Answer: -t**2 - 2*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188\/3 + -62. Let n = -233 + 341. Let p = 106.1 - n. What is the smallest value in h, 3, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + 99012\nAnswer: 99011.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 - 23 = 0. Solve -4*d = -y*f + d, -5*d + 4 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*2 - 266\/399.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79722917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1325043912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -101. Suppose -5*x - 4*u + 21 = 0, 2*u - 4*u = -5*x + 27. Suppose 0 = 5*v - f - k, 5*v + f - x*f - 64 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from jjt.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**19)\/y*y)\/y)\/y**29 assuming y is positive.\nAnswer: y**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**3 - 5*x**2 - 5*x - 5. Let j(t) = -t**3 - t**2 - t - 1. What is a(d) - 5*j(d)?\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 916035 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934262737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let d be a\/(-5) - (376\/(-10) + 6). Let u = d - 17. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 8, -4*m - w - 1 - 19 = 0. Let p(z) = -z**3 - 5*z**2 - 1. Let i be p(m). Let d be 82\/10 - 7\/i. Solve -d = g + 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1392*v**3 - 6*v**2 + 25. Let s(z) = z**3 + z**2 - 3. Determine -b(r) - 8*s(r).\nAnswer: 1384*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - 12\/(-3) - 7\/(-63)*0. Which is the closest to -2\/33? (a) w (b) -4\/5 (c) -1\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(684).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unj when three letters picked without replacement from nknnknuunjunnnknnu?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395232652.\nAnswer: 2, 691, 142993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123330, 123333, 123336, 123339, 123342, 123345?\nAnswer: 123348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u = 2917, -4584 = n + u - 1667. Is n at most as big as -2916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 11*c**2 + 4*c - 14. Let w be i(11). Put w, 4, -3, 5 in decreasing order.\nAnswer: w, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2201 - 4101. Let s = -30435\/16 - o. Calculate the common denominator of ((-35)\/(-50))\/1*1 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 5*d**2 + 4*d - 4*d - 7*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 4*r - 8. Let m = 4 + 4. Let j be i(m). What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 220*c**2 + 842*c - 5914. Is d(7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3053*p - 6. Let d(o) = -1792110*o + 3525. What is -1175*a(i) - 2*d(i)?\nAnswer: -3055*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-210) - (-8)\/14. Let z = 2 - -1. What is the second biggest value in z, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 2*d. Let k be (-2 + 2)*1\/d. Determine p so that -2*p**2 - 4*p**2 + 5*p**2 + k*p**3 + p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344001.\nAnswer: 229, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19277096*h**2 - 11516*h + 1296?\nAnswer: 38554192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 15*y + 45 + 27. Let u(t) = -2*t**3 + 5*t. Let c(w) = -2*w**3 + 4*w. Give y*c(i) + 4*u(i).\nAnswer: -2*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3 + 22\/(-12). Let n = b - -1\/3. Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12917529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 16.48 and -37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -11. Let t = 10 + -5. Which is the smallest value? (a) -0.1 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 + 529 = -b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -358.19.\nAnswer: 3223.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.11 + 63.89. Let w = a + -64. Do -33 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 49*l - 13*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {b: 2, h: 4, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 900*x**3 - 6695*x**2 - 28050*x.\nAnswer: 5*x*(x - 10)*(x + 3)*(x + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-6)*4\/6. Let i(z) = 3*z**2 - 12 + z**3 - 29*z + 17 + 19*z. Let r be i(k). Solve -2 + 12 = r*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let q be s(-7). Is 12 a factor of ((-9)\/q)\/(-3)*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1957, -2066, -2175?\nAnswer: -2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - be7?\nAnswer: -be7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54347738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5147614086 to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:21 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 9*p**2 - 11*p - 6. Let h be v(-5). Suppose 5*c + h = w, -4*w = 2*c + w + 8. Is -15 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlly when four letters picked without replacement from lgyvsvrgl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let y = w - 1. Let n be -13*(-11 + (-580)\/(-52)). Which is the nearest to -2\/7? (a) 0.3 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 13. Suppose -5*x + 3*x + n = -249, 0 = -u*x + 3*n + 493. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.14151663 rounded to 3 dps?\nAnswer: 6.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 - 3*x**2)*(-2 + 0 + 1 + (-64 - 52 + 100)*(4 - 2 + 3)).\nAnswer: 162*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 6709561?\nAnswer: 33547805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 + -6cc81?\nAnswer: -700c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 29*i + 9*i**2 + 8 - 4 - 45*i - 48*i.\nAnswer: 9*i**2 - 64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488 + -478. Let y be o*4*(-5)\/50 + 11. Solve y*s + 3 + 11 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 + i**5\/60 + 2*i**2. Let y be k(1). Solve -j - 2*t + 5*t - 4 = y, 4*j = 4*t - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x - 5. What is the remainder when w(-5) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 11*f - 28. Let y be g(9). Let l be ((-8)\/(-10))\/(4\/y) + 5. Is -1*l + 4\/((-4)\/(-31)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5\/24 - 23*i**4\/24 + i**3\/3 + i**2 - 41. Let l(r) be the third derivative of m(r). What are the prime factors of l(-26)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-151 - -76 - -85).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + 54\/15 + -5. Let l = -73.9 + 7.9. Let n = -62 - l. Which is the third biggest value? (a) 3 (b) 7 (c) z (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41311010 (base 5) to base 9.\nAnswer: 564888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -17*l. Suppose l = 5*r - 0*r - 350. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -32 + 5. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13293402 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 261277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(234))\/sqrt(9))\/(-2*sqrt(50))*3.\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.22 from -163.\nAnswer: -163.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 1821, 3989, 6997, 10839, 15509, 21001?\nAnswer: 27309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 18. Let n = c + 6. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 16. Sort 7, 5\/3, o in ascending order.\nAnswer: 5\/3, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10644)\/8870*(-130)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 - a**4\/3 + 11*a**3\/6 + 16*a**2. Suppose 2*g = 4*d + 44, -d + 0*d = -g + 13. Let p be i(d). Solve r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4442, 4434, 4426, 4418, 4410?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773552770?\nAnswer: 2, 5, 11, 23, 701009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let t(o) be the first derivative of 22*o**3\/3 + 103. Determine n(t(w)).\nAnswer: 968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 671475 - 657369 - 91*j**2 + 0*j**2 - 19*j**3 wrt j.\nAnswer: -57*j**2 - 182*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -14\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375444144 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -274*f**2 + 6*f - 4. Let d be w(1). Calculate the remainder when 148 is divided by (10\/(-40))\/(4\/d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256268.\nAnswer: 2, 3, 13, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*b + 3*a - 13, 15*b = 5*a + 1 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3713116.87704 + -0.01\nAnswer: -3713116.88704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-180))\/(3\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 13*q + 11. What is the closest to 4 in 12, -3, q, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:36 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13712248 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103, -101, -99?\n\"Answer: 2*z - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*y + 102*y + 208 - 76 = 0. Let o = 13 + -1. Calculate the remainder when y is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 778.1?\nAnswer: 48242.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.3695 litres in millilitres?\nAnswer: 84369.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - 75 - (1 - (1 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:07 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-2352)\/(-35))\/(-8))\/(1\/(-5)). Let a = 174 - r. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -0.4, 0.06, 8\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 23*t**3 - 302*t**2 - 900*t - 792.\nAnswer: (t - 33)*(t + 2)**2*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - v + 4 - 0, 2*v + 6 = 3*s. Let y(d) = d**2 - 4*d + 1. Let l be y(5). Which is the smallest value? (a) l (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**3 - 3*x**3 - x**3)*(3 - x - 3) + 3*x**4 - 5*x**4 + 3*x**4 + 5*x**4 + 8*x**4 - 6*x**4 + (0*x**2 + 3*x**2 - 2*x**2)*(-x**2 - x**2 + 6*x**2).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1433 times -8220\nAnswer: -11779260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999060 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*v**3 + 239*f*v**2 - f*v + 177*v**6 wrt v.\nAnswer: -12*f + 21240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14 + 2*j - 52*j**2 - 53*j**2 + 118*j**2 + j**3 + 8*j. What is the units digit of a(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 2. Let n be r(3). Suppose -2*y = -7*y. Suppose -2*z + 3*q = 2*z - 148, y = -z - q + 44. What is the highest common divisor of z and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*y + 36 = 179*y. Let j = 6 + -3. Solve j*c - c = -y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -21. Let f = 35 - r. Suppose -k - 8 = -f*k. What is the greatest common factor of k and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 318*n**2 - 162*n**2 - 12 - 161*n**2 + n to x*n**4 + z*n + s*n**3 + k + i*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -4769*h**7\/7 + 49*h**3\/3 - 4*h + 5774. What is the third derivative of c(l) wrt l?\nAnswer: -572280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -817326.2.\nAnswer: -245197.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5222*q**3 - 2248*q wrt q.\nAnswer: 31332*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5223 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 138 - 27) + 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 7. Suppose 5 + 7 = 4*q. Let c be b(q). Suppose -c*h = -5*h + 4*m + 55, 0 = -h - 3*m + 34. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15208149 (base 10) to base 2.\nAnswer: 111010000000111011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 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: Sort 3, 29, -1, 2, -4.\nAnswer: -4, -1, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 2\/7 (c) -3\/5 (d) 27 (e) 1\/19 (f) 0.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiyo when four letters picked without replacement from {y: 1, l: 3, i: 2, k: 2, h: 1, o: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 410 = 17*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30818126651665 + 1.6.\nAnswer: 30818126651666.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 34093173*l - 34093176.\nAnswer: 3*(l - 1)*(l + 11364392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - 31. Let d be p\/(-44) + 1 + -3. Which is the biggest value? (a) -4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 - 0.02732913.\nAnswer: -3.52732913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23403019 times -29?\nAnswer: -678687551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125279775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15212.8989 - -15222.9. Let b = -10 + k. What is b rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 - -1)) + 52 + (-42 - -4) + -47?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-20)*(-1752)\/9. Let n = b + -265. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 - 4818*u**3\/7 - 3864024*u**2\/7 - 1027801440*u\/7 + 3118310784\/7.\nAnswer: -2*(u - 3)*(u + 804)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z - 1. Let t be ((-3)\/(-2))\/(39\/52). What is the tens digit of p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -9 - (-2 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**0*d*d*(d\/(d**(-1\/2)\/d))\/d*d**(-11)\/(d*d*d\/(d**(-10)*d)) assuming d is positive.\nAnswer: d**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 612\/42 + 6\/14. Let y be ((-9)\/(-6))\/(n\/20). Suppose 152 - y = 5*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 plus -1.32525?\nAnswer: 95.67475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**14)\/i*i)\/i*i**(-2\/3) assuming i is positive.\nAnswer: i**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68661306 to the nearest integer?\nAnswer: 8286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/414 and 143\/138.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -978079*i**2 - 48135*i?\nAnswer: -1956158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 889 (b) 18 (c) 1\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 6*r**2 + 3*r. Let d(l) = -l**2. Let f(s) = 5*s - 7*s - 1 - 8 - 12. Let j be f(-11). Determine j*a(x) - 6*d(x).\nAnswer: -2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i - 3. Suppose 0 = j - 53*s + 48*s + 11, -3*s = 0. Let z(k) = 32*k - 8. Determine j*d(h) + 4*z(h).\nAnswer: 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 12. Which is the nearest to -1? (a) -0.04 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 82 - (6 - (7 - 5) - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -93. Sort b, 4, -3\/4 in descending order.\nAnswer: 4, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29798587 and 1183.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4073690743 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 432, 1120, 2088, 3336, 4864, 6672?\nAnswer: 8760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689963.2mg to nanograms.\nAnswer: 689963200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339080 and 28000.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + (4 - 6). Suppose z = 3*r - 6*r + 3. Sort 4, r, -2 in decreasing order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -1059, -3393, -7867, -15195, -26091, -41269?\nAnswer: -61443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/155*90\/33*(-1859)\/(-1352)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*w + 86 = 0, -90 = -5*l - 3*w + 112. Calculate the remainder when 128 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-40)\/(-10))\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83205, 83187, 83169, 83151?\n\"Answer: -18*r + 83223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -5*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 102. Let f = 9 - g. Suppose -5*o = -3*y + 45, -3*y + 77 = y - o. What is the smallest common multiple of y and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -4 + (0 + (sqrt(52) - (sqrt(2548) - sqrt(52))) + 3)**2)*1 + -5.\nAnswer: -2613 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/224)\/(-3) + 4\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -15*m**2 - 172*m - 2. Let o(j) = 7*j**2 + 84*j + 1. Give 6*i(a) + 14*o(a).\nAnswer: 8*a**2 + 144*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*((sqrt(45)\/(sqrt(18)\/sqrt(6)))\/sqrt(5) + -4 + (sqrt(108) - sqrt(3) - sqrt(3))*1))**2.\nAnswer: -1000*sqrt(3) + 2275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (9 + -6)) + (21 - 23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:31 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -2*n, -4*o = 3*n - 1 + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148844582 to the nearest integer?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 + 27*o**2 + 12*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 - 143*c + 3337. What is the tens digit of d(71)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 8*x**2 - 2*x + 2. Let q be m(8). Let z = 17 + q. Sort 2, -5, z in decreasing order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -14*u**5\/5 + u**3 + 1. Find the third derivative of s(p) wrt p.\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 24835*h**2 - h**4 - 3 - 24820*h**2 + 2*h - 4*h**3 to n*h**3 + w*h**4 + j + o*h + m*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 77. Let j be w(11). Let d(x) be the first derivative of 0*x**3 + 0*x**2 + 5\/2*x**4 - x**5 + j*x + 6 - 5\/6*x**6. What is k in d(k) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 3105*i - 333270 = 0. Calculate i.\nAnswer: 138, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2\/17, 0.06 in descending order.\nAnswer: 0.06, -2\/17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 854? (a) -4 (b) -33 (c) 5 (d) -0.06 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x + 15. Let w(y) = -1. What is k(n) + 6*w(n)?\nAnswer: -n**2 - n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332343 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose t*s = -5*s + 20. Suppose 0 = -4*q + s*z + 180, -6*q = -2*q + 2*z - 204. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, q: 1, n: 3}. What is prob of sequence nuun?\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 + 0 - 7*j + 1\/2*j**2 + 3\/2*j**4 = 0 for j.\nAnswer: -7\/3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 18. Suppose i = -5*t + 107. Suppose -t = 4*w - 0*w. Sort 3, w, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, -5, -2 in decreasing order.\nAnswer: 0, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 4.98. Let w = -219.4 + 219. What is the second biggest value in w, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16955, -16954, -16953, -16952, -16951?\n\"Answer: w - 16956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5089 and 85059.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -64, -99, -136, -175, -216, -259?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/5*1400\/112. Is k smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 22 = 0. Suppose 3*t = 5*t - i. What is the greatest common divisor of t and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 103 + 79 = 0. Let o be ((-4)\/m + 80\/(-35))*-4. Suppose -o*i - 2*i + 1000 = 0. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/24 + v**5\/6 - 9*v**2. Solve j(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 57*a**3 - 20*a**3 - 21*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -354 times -5\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2660?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 61*f + 16349850 = 15*f. Round f to the nearest 1000.\nAnswer: 297000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -395000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 52342*w. Let p(y) = -10*y + 5. Give g(p(q)).\nAnswer: -523420*q + 261710","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -180 + 138 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-47 + 72 - (6 - 113))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 352365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 275160133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -911*k + 60. Let d(p) = -908*p + 89. Determine 2*d(a) - 3*o(a).\nAnswer: 917*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (728\/(-112))\/(1\/6*(-6)\/(-6))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4120219.\nAnswer: 4120219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*z + 1064*z + 5 = 5*y, -13 = -2*y + 3*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34\/5*(4 + 10 + 326) and 8.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f + 0*f**4 + 0*f**3 - 234\/5*f**5 + 111 - 183\/2*f**2. Find the second derivative of q(w) wrt w.\nAnswer: -2808*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*17\/(-238)*-7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = 2*a, -4 = 4*a - 6*w - 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-7 + (-9 - (-10 - -8)) + 11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1543435145 + 5?\nAnswer: 1543435154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**7\/35 + 7*h**5\/60 + 6*h**2. What is the third derivative of p(s) wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6978 and 153?\nAnswer: 355878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7615 * -3.1\nAnswer: -23606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:16 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(-30)\/30.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7308 and 20.\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -391*u**2. Let q(r) be the first derivative of r**2 - 124. Give q(p(n)).\nAnswer: -782*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 25. Calculate the remainder when (-894)\/(-9)*(-18)\/i is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29522511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -205 times 0.4\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2763\/(-12))\/((-5)\/7). Let p = -1281\/4 + f. Calculate the common denominator of p and 11\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 442 = 424. Let c be (8 - b) + 104\/(-10). Suppose -18\/5*g + 21\/5 - c*g**2 = 0. What is g?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00536712 to five dps.\nAnswer: -0.00537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/52 + (-4)\/26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**3 + 188*u**2 - 9*u - 35. Let z be t(-12). Calculate the highest common divisor of 140 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + (-9 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:10 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147 less than -0.064?\nAnswer: -0.0787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 9*m - 14. Suppose -4*r + 33 - 1 = 0. Let h(g) = -g**2 + 3*g - 5. Give r*h(f) - 3*s(f).\nAnswer: -2*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 205 = -9*n. Let b = 1 - -2. Suppose 4*o + 3*w = n, o - b*w + 1 = -0*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:21 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218828*z**3 + 1218760*z**3 - 2437622*z**3.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.098, 1.39, 0.12, 0.053, 1?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 - 8*v + 5. Let h be j(1). Suppose 2*y = -5*m + 2509, 3*y + 0*m - 3746 = -h*m. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 65 - (7 + 2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let h be q(4). Suppose -60 = h*m - 8*m. Calculate the remainder when 57 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 902 divided by -4\nAnswer: -451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*z = 123, -2*s + 2*z = 2*s - 174. Let b = 502\/11 - s. Calculate the common denominator of 0 + (1 - 103\/8) and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 13\/3*w**3 - 2 + 0*w - 1\/600*w**6 + 1\/50*w**5 + 0*w**2 - 3\/40*w**4. Let q(j) be the third derivative of g(j). Solve q(o) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - o**2 - 2*o**2 + (-1 + 3*o + 1)*(o + 3*o - 3*o)*(247 - 318 - 586)*(-2 + 0 + 1) to the form s*o**2 + d + a*o and give s.\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449362, 449364, 449366, 449368, 449370, 449372?\nAnswer: 449374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48076630 - -11?\nAnswer: -48076618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 0*z)*(1 - 1 - z) - 2*z**2 - 2*z**2 + 7*z**2 - 2 + 4 - 3 + 2*z**2.\nAnswer: 7*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose -5*n - l + 382 = -a*n, 0 = 4*l + 20. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 23*g**7\/210 + g**5\/15 + 38*g**2. Find the third derivative of z(a) wrt a.\nAnswer: 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**2 - 5*t. Let u(b) = -39*b**2 - 24*b. Let m(c) = -24*i(c) + 5*u(c). Let n(w) = -4*w. Determine n(m(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2312*w + 16193. Give d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {t: 2, j: 9, x: 1, s: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 15*d - 27. Let b be q(17). Let a = -3 + 6. Solve b*l = a*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 12. Let c(n) = 14*n + 37. Let p(f) = -11*a(f) + 4*c(f). Let u be p(-8). Factor 16*g**4 + 20 - 20*g**2 + 10*g**5 - 2*g - u*g**3 - 3 - 13.\nAnswer: 2*(g - 1)*(g + 1)**3*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67430 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.5*0.0177.\nAnswer: 0.64605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -211, -467, -813, -1243, -1751, -2331?\nAnswer: -2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u - 2*u + u + 3*u + (1 - 1 + 2*u)*(3 - 1 - 3) - 6*u + 3*u + 2*u + 0*u + 0*u - 2*u)*(-u**4 + 5*u**4 - 3*u**4).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:43 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 349. Let s = -20739.545 - -20555. Let q = i + s. Round q to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 5500*r - 33180 = 0. What is r?\nAnswer: -1106, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a**2 - 2*a)*(0*a + 0*a - a) - 2*a**3 - 2*a**3 + 3*a**3 - 979*a**3 + 907*a**3 - 719*a**3 + 3*a**3 - 4*a**3 + 2*a**3.\nAnswer: -789*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 35*f - 47*f.\nAnswer: -93*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**3 - 3*p**2 + 2*p - 4. Let m(k) = -4*k**3 + 2*k**2 - 2*k + 3. Let s = 279 + -267. Suppose 89*o - 83*o = -s. Calculate o*r(x) - 3*m(x).\nAnswer: 2*x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -963.976 - -968. Let x = n - 0.024. Let d = -99\/62 - -3\/31. Put 5, d, x in descending order.\nAnswer: 5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 6956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 + 36*r**2 + 0*r**4 - r - 35*r**2 + 2 to the form j + i*r + v*r**2 + g*r**3 + p*r**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166214.\nAnswer: 2, 41, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*d - 101*d + 26*d)*(-3 + 2 + 4).\nAnswer: -537*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -114, -252, -436, -660, -918, -1204, -1512?\n\"Answer: d**3 - 32*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185332907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -126 (b) -1 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/(2*2\/12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235550*b**3 - 235548*b**3 - 3*b**2 + 3*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 10) + 13 + -33 + 17 + 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2*g**2*i**3 + 83175092*f**2*g**2 - 3*f*g**2*i - 2*f*g*i**3 + 2*f*g*i + 1823178*g**2 + 2 wrt f?\nAnswer: 6*g**2*i**3 + 166350184*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 221\/6 - 3 - 2\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-12\/5)\/c*c*c)\/(c*c**(-11)))\/(c**19\/(c*c**(9\/10))) assuming c is positive.\nAnswer: c**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 45*s - 47*s + 3102, 7755 = 5*s + i. List the prime factors of s.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 617\/1407 + -2\/201. Let s = -0.3 + -0.2. Let f = -35\/69 + 71\/276. Which is the nearest to -2\/5? (a) s (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 14. Let t(f) = -5*f + 58. Suppose 0 = -2*b + 7 - 25. Let j(r) = b*k(r) + 2*t(r). Calculate j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z + 2*z)*(-5 + 4 + 3 + 2*z).\nAnswer: -4*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -6 + -2 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/36 - 2\/8. Let d be k\/(3\/(-3)) - -53. Suppose d = 4*r - 23. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2466*n**2 - 22*n - 20. Let c(k) = 2465*k**2 + 20*k + 20. Let p(w) = -5*c(w) - 4*f(w). Let y be p(-10). Round y to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -35. Let x = -25 - s. Let t(f) = f**2 - f - 2. Let y be t(4). Solve -2*g = -4*j + y, g = -2*j - 0*j + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 + 3*r + 3. Let h be (8\/(-36)*3)\/((-10)\/(-45)). Let y be v(h). Solve -3*u - 4*p - p - 5 = 0, 3*u - 2*p - 2 = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -243819?\nAnswer: 243823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10894100 to the nearest one hundred thousand.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2 + 1 + 4 + 31*o - 2. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 19211 = -4*z + 2389. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 0.00267, -4.6?\nAnswer: 0.00267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + 48\/(-70). Suppose 0 = 9*g - 1863 + 648. Let q = g - 677\/5. What is the closest to -2 in q, p, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 29*a + 98*a + 46*a to the form j*a + u and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/18538 and -107\/230.\nAnswer: 92690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbavvvggxxia. What is prob of picking 1 g and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618156 divided by -88308.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10330 is divided by 2066.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 15c047?\nAnswer: 15c048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 2. Suppose 0 = 10*n - 9*n + k. Let t = n - -30. Let q(d) = d**3 + 3*d**2 - 3*d - 4. Determine q(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + 4 - (sqrt(228) - (sqrt(228)*1 - sqrt(228)))\/sqrt(12))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5 - 50*k**5 + 37*k + 212*k**3 - 212*k**3 wrt k.\nAnswer: -920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = o + o, c = 5*o - 24. Suppose 0 = o*u + 2*t + 84008, 5*u - 8*t + 105020 = -13*t. What is u rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 67 = 4*x - 5*k, -x = -k - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*x = -5, -x = -5*l - 2*x + 21. Suppose 0*d + 0 + 1 + l*d + 1 + 2*d**2 = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**3 + 29*z**2 - 96*z + 62. What is b(3)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5*2*-5. Solve u = g, -u - 4 = 3*g + q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 24*x - 113. Let m be b(13). Suppose 0 = -4*w + 8, 0 = 5*u - 5*w - 24 - 171. Let p = 61 - u. Calculate the greatest common factor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -3, 72, -1\/2, 13 in ascending order.\nAnswer: -3, -1\/2, 3\/2, 13, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1 - 2*q + q + 6. Suppose 0 = 2*a - 3*w - 3, -a - 5 = 4*w + w. What is p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 + 3 = 0. Suppose 12750615 = 2*z - 4*v + 1859791, 27227060 = 5*z + 5*v. Suppose -z + 645412 = w*i. What is i rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -710 + 2132\/3. Factor 2\/3 - 4\/3*b**3 + 0*b**2 + 4\/3*b - o*b**4.\nAnswer: -2*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 14.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:44 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4728\/1321499 - 2\/907. Are 0 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/73735943 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 2. Let c be k(-3). Suppose -87 + c = -4*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12042 - 10*d + 2*d + d - 49742.\nAnswer: -7*d - 37700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7236268 - 0.07036.\nAnswer: -7236268.07036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -531 - -27?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3. Let r be d(-2). Let m(o) = -3*o - 6. Let s be m(-4). Suppose a + r = s*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-390)\/90 - 1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*v**2 - 10 + 43*v**3 + 12 + 190*v**2 to i + s*v**3 + p*v**2 + d*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464091.67 rounded to the nearest ten thousand?\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6912, 6916, 6922, 6930, 6940?\n\"Answer: v**2 + v + 6910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*m - 18, -m - 5*g = -3*m + 26. Solve u + 17 = -3*k + 2*u, 2*k = -m*u + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*m + 6, -2 = 2*m + 3*t + 4. Let c be 4\/6 - 7\/m. Suppose 2*h = -c*h + 50. Calculate the highest common divisor of h and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8629121\/11505484 + -2\/2876371. Find f such that 3*f + 0 - 9\/8*f**4 + 9\/2*f**2 - 3\/8*f**5 + g*f**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + s = -88 - 902, 4*y - 3*s - 1325 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.36548 and -5.\nAnswer: 76.8274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -9 + 1120 + -1167.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1282 - 683. Let g = 596 - k. Put -0.2, g, -10 in decreasing order.\nAnswer: -0.2, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913.349 hours in microseconds?\nAnswer: 10488056400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*j - 3*r, 0 = -2*j + 4*r + 8 + 12. Let c be -2*11\/99 + 2110\/j. Calculate the highest common divisor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 711*u**2 - 39*u + 41. Let c(a) = 354*a**2 - 18*a + 19. Give 13*c(i) - 6*k(i).\nAnswer: 336*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 2. Suppose 0 = 2*i - 2*m - 14, 2*i + 0*i - m - 11 = 0. Let j = i + 0. Let b be g(j). Solve -2*f = b*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1063*m - 39675. Calculate i(39).\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-57)\/627)\/(((-12)\/22)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 - -1119. List the prime factors of p.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000825 is divided by 549.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21639582 a multiple of 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 5*s**8\/28 + 5*s**7\/21 + 9*s**4\/2 + 5*s - 9. Find the third derivative of v(y) wrt y.\nAnswer: 1200*y**3 + 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 9240?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -143 (c) -3 (d) -8 (e) -0.1 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/2700*-18 + (-1 - (-106)\/156).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57567025?\nAnswer: 5, 2302681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16532 and 0.5.\nAnswer: 8266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 144, 220, 298?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**8\/42 - 23*a**4\/24 + 10*a**2. What is the second derivative of s(j) wrt j?\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/35 and 161\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*5\/((-10)\/(-8)). Let i be 4\/n - 243\/(-12). Let r be (-13120002)\/(-8) - 5\/i. Round r to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -7*o + 72. Solve o = 5*i + 3*a, -3*i - 2*a + 15 = -5*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1619151 not equal to -1619148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 3, l: 1}. Give prob of picking 1 q and 1 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23121 is divided by 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 (base 3) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 295.58265ms?\nAnswer: 0.0049263775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.235519 days?\nAnswer: 452348841.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1033 - -952.9. Let i = 130 - 214. Let v = a - i. Round v to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/24 and 55\/399.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33485681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -3.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Suppose r*c - 3*x = 14, 2*c + x + 2*x + 2 = 0. What is the third derivative of c*j**5 + 2*j**2 - 5*j**2 + 0*j**2 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0 + 6. Let q be u - (-2)\/(6\/21). Solve -q = 4*n - 3*v - 0, -4 = 4*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 60 = 6*l. Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 281307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14530000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let z = d - -0.5. Let k = 8 - 7.7. Which is the second smallest value? (a) z (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 5*i**2 + 2*i**2 - 1 - 5*i**2 to m*i + y + r*i**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4*(-30)\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.104158ml to litres.\nAnswer: 0.005104158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-31 - ((34 + -20 - 48) + 15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1034\/9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:00 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7317835*j**3 - j**2 - 745834*j + 1 wrt j?\nAnswer: -43907010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 11.432.\nAnswer: -3.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 35, 97, 185, 299, 439?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w. Suppose 2*a + v = 66, -3*a = 4*v + 2 - 111. Let j(f) = -9*f**2 - 14*f**2 + a*f**2 - 9*f**2. Give j(p(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*144.150437.\nAnswer: -144.150437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:01 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 3)\/(0 + 2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - 275?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 41909000 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24904 and -34\/9068169?\nAnswer: 72545352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*b, -2*b = 2*k - 6*b. Let x = k + 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-98) - 2745\/(-189))\/(1 - (-20)\/(-12))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {s: 2, j: 2, w: 4, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36046 (base 7) in base 14?\nAnswer: 355d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 200654771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -42*o - 1516. Calculate g(-35).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -1 - 5 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 - 1\/10*t**5 + 5*t + 0*t**3 + 11\/120*t**6 - 4*t**2 - 67\/12*t**4. What is the second derivative of c(x) wrt x?\nAnswer: 66*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/28)\/(2 - (-120)\/(-35)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145 + -3?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**3 + 2*m**2 - 15*m + 14. Let v be g(1). Solve -4*u = 5*y - 12, -y + 1 + v = -4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*z, -3*p + 5*z + 5 = 4*z. Suppose -4*d - 6*q + 319999 = -7*q, 5*d + p*q = 400003. Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-13 + 11 - 5 - 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a37 (base 13) in base 4?\nAnswer: 132333311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.5 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 48312?\nAnswer: 241560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -25 - (11 - (0 + 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:00 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 3*u**2 - 3*u**2 - 2*u**2 + 2*u - 2*u - 2*u + 2*u**2 + 2*u + (0*u - u + 0*u)*(4*u + 0*u - 5*u) - 4*u**2 - 1 + 1 + 2*u - 2*u + 6*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 4*o**3 + 0*o**3)*(-5*o - 87*o + 27*o + 0*o - 2*o + 0*o + (-3 + 6 - 2)*(2*o - 2 + 2) - 2*o - o + 5*o).\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 - 2*m + 3. What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2167 from 35.\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13*p + 9. Let a be x(4). Suppose 0 = f - a - 20. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 14*r - 7 = 2*p, -2*r - 5*p = 19. Suppose r*a + 2*c - 557 = 636, 3*c - 1591 = -4*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8. Suppose 4*k = 2*k. Let z = k - x. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in -307, 1, 0.0344?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(468) - (sqrt(468) + 0))*4 - (-4*sqrt(468)*1 - sqrt(468))) + -3 + 0)**2.\nAnswer: -180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4 - 10521*o**3 + 37652472*o**2 - 48374808768*o + 9095453452800 = 0.\nAnswer: 225, 3432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -26 - -20 - 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-15)*h)\/h)\/(h*h\/(h\/h**9)*h))\/(h**(-3)*(h*h\/h**(1\/14))\/h*h))**22 assuming h is positive.\nAnswer: h**(-3839\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 227 + 188. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*b + 167*b = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -11. Let r be 2 - 3\/(12\/8). Let z = j - r. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 2*i**2 - i - 1. Let p(h) = 14*h**3 + 6*h**2 + 3*h + 43. Give -3*n(t) - p(t).\nAnswer: -2*t**3 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*2)\/sqrt(288) - ((sqrt(468) + -3*sqrt(468)*-1)**2 + (sqrt(39)\/(sqrt(144)\/sqrt(12)))**2).\nAnswer: -29965\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (16\/(-32)*3)\/(12\/(-127664))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/10122 and -23\/7230.\nAnswer: 50610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2524*j - 840*j - 10465*j - 981891 = 3648*j for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccqccqcc. What is prob of picking 1 c and 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 3*s**3 + 4*s**4 + 2*s**2 - 2*s**4 + s in the form t*s**4 + q*s + g*s**2 + v*s**3 + w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -62. What is the greatest common factor of x and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 - 8*x**3 + 7*x**3 - 2*x**3 - 446.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiihiii. What is prob of sequence iih?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 13. Let v be j(5). Let k be (-3)\/(-6)*3*(-4)\/v. Find the first derivative of -4 + 9 - s**k + 4 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 792, 1820, 3270, 5148, 7460, 10212, 13410?\nAnswer: 17060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/630 + n**6\/60 + n**5\/15 + 19*n**4\/24 - 23*n**2. Let u(t) be the second derivative of p(t). Suppose u(v) = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 61*y**2 + 18*y + 50. Let z(v) = -29*v**2 - 9*v - 24. Let d(s) = -6*w(s) - 13*z(s). Let b(a) = -6*a**2 - 5*a - 6. What is 7*b(l) + 4*d(l)?\nAnswer: 2*l**2 + l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 7}. What is prob of picking 4 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -819.5 and -1.\nAnswer: 819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 578229945.62.\nAnswer: -578229951.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*i + 18, 2 = -i - 2*i + 5*s. Let g(z) be the second derivative of -z**3 + z**2 + 8*z. Let j(b) = -11*b + 3. Calculate i*j(u) + 7*g(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.764189276 rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2667551\/92)\/(-1) - 1. Let g = j - -28997. What is the common denominator of g and -19\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111a3 (base 15) to base 11\nAnswer: 37945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293\/133 - 50\/19. Let t = 62 + -32. Suppose 0 = 2*l + 24 - t. Which is the closest to -1\/3? (a) l (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006243915226 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let t(i) = 19458221*i**2. Give t(d(r)).\nAnswer: 77832884*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = -2*t. Let x be t\/2 + 1\/2. Let i(q) = 2*q + 4. Let m(h) = h + 3. Let c(o) = x*m(o) + 3*i(o). Let z(f) = 2*f. Give z(c(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 3, y: 1, a: 1, u: 3, i: 6}. Give prob of sequence bbb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -2\/805 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690361389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 1. Suppose 3*l = 36 + 204. Suppose -3*j + l = 5*x + p, -4*x = 5*j - 68. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (26 + -33 + 15 - 14).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 88. Solve -148*g**2 + 48*g - 8 + 10*g**3 + 24 - k*g**3 - 168*g**3 = 0.\nAnswer: -1, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 960206563 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5268 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3))\/z)**49\/(z**3)**39 assuming z is positive.\nAnswer: z**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:19 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let g(l) be the second derivative of 0 + 0*l**2 - 37\/2*l**3 + 28*l. Calculate g(v(m)).\nAnswer: -222*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) -2 (d) -0.02 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -34*j**2 + 359*j - 16. Give k(12).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 23. Suppose 0 = u*p - 9*p + 28. Suppose -a + 30 = p*a + 4*v, 2*a = -3*v + 19. Solve -3*c = a*g - 7, 11 = -2*g - 2*c + 5*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -q + 9, 21*q - 20*q = 2*f - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186554189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*q**3 - 114*q + 114*q - 539*q**3.\nAnswer: -370*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*l. Suppose -6*a = -l*a - 96. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-68)\/(-20) + 2\/(-5). Let u = 600607 - 600607. Solve u = -5*m - v + 19, -4*v + 4 = -r*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/11 + 3008*q**3\/11 - 2249936*q**2\/11 - 18192512*q\/11.\nAnswer: -q*(q - 1508)**2*(q + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24252 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2448, 0.12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.234511 centimeters in kilometers?\nAnswer: 0.00008234511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*g - 453, 604 = 4*g - 2*p - p. Suppose -2*j + 3*a + g = -0*j, j = 2*a + 76. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(1\/4)*d*d**10*d*(d*d*d*d**9*d*d*d)\/d**10 assuming d is positive.\nAnswer: d**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/210 - 7*k**6\/30 - 49*k**5\/15 - 3074*k**2. Factor i(n).\nAnswer: -n**2*(n + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3. Suppose -34*o + 14*o = 8*o + 28. Let s = -5.08 + 0.08. Which is the nearest to o? (a) -2\/5 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h + 7*h + 2 - 2*h - 2 + (2*h + 2*h + 2*h)*(6 - 2 - 3).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3 + 129\/45). What is the common denominator of (61 - 4)\/(t\/(-4)) and -33\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 26. Let a be i(11). Calculate the highest common factor of 120 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/3*(-3)\/21*46\/(-69)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 425290 a multiple of 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(-46)\/14973*(-6)\/10.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1349? (a) 0.5 (b) 2\/17 (c) -2\/7 (d) 2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 326 in descending order.\nAnswer: 326, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgqdawg. Give prob of picking 1 a and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**3 + 3*v**2 - 32*v + 8. Let z be u(12). Round z to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22287726, -22287712, -22287698, -22287684, -22287670?\n\"Answer: 14*k - 22287740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 + 3*n**3 - n**2\/2 + 13*n - 5. Let w be v(9). What is the second derivative of -5*m + 3*m**4 - 4*m + 0*m + w*m wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58628, -53574, -48498, -43388, -38232, -33018, -27734?\nAnswer: -22368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/20 - 5*z**4\/12 + 7*z**3\/3 + 18*z**2 - 261*z. Give s(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*c = 128*c - 260*c + 14 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7131.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 + -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*m - 64*m + 66. Suppose 51 = -m*a + 243. What is the highest common divisor of 56 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.77 + -0.23. Sort v, 2\/5, -4.\nAnswer: -4, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912035630 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*-585105.3\nAnswer: 1228721.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n**2 - 5*n**3 + 729*n**4 + 3*n**3 + n**3 - 740*n**4 to the form g*n**3 + k*n**2 + c*n + j*n**4 + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - 279\/2. What is the closest to -6 in -0.4, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -364*t + 15*t**2 + t**3 + 9 + 376*t + 13. What is the hundreds digit of i(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, q: 2, t: 4}. What is prob of sequence txx?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -v, 0 = -134*j + 138*j + 2*v + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**2 + 9072*z - 5143824 = 0?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(2*l + l - l) + 3*l + 0*l - l + (4 - 4 - l)*(1 + 2 + 5) + 2 + l - 2 as m*l + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:43 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10 + 2 = 0. Let f be 46 + 3\/(x\/(-2)). Suppose 4*q - 197 = -0*i + i, -5*i = q - f. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -43. Let g = n + -5. Suppose p - g = 41. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-1)*1)\/(-1). Suppose -8*q + 4*q = f. Let x = q - -13. Calculate the remainder when 20 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 677*a. Let h(z) = z**2 + 2*z - 12. Let q(w) = -4*w**2 - 9*w + 54. Let b(u) = -9*h(u) - 2*q(u). Calculate k(b(i)).\nAnswer: -677*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:55 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.00497824 and -0.325?\nAnswer: 0.32002176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 59494862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**3 + 16*p - 16*p)*(2*p - 5*p + 2*p) + (3*p**3 + 2*p**3 - 4*p**3)*(-1 - 2*p + 1).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + 168\/81. Let u = 28396 - 85186\/3. What is the fourth smallest value in n, -2\/3, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -792*s + 242. What are the prime factors of v(-9)?\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*p - 181 = 0, 2*b - 4*p - 23 - 65 = 0. Suppose -3*u = -b - 98. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4034*r**2 - 5*r**5 - 4034*r**2 - 21*r**3 + (-7*r**5 + 0*r**5 + r**5)*(-6 + 2 + 1).\nAnswer: 13*r**5 - 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 53*b**2 - 3*b. Let a(u) = u**3 + u**2 - 2*u + 2. Let i be a(0). Let j(s) = 303*s + s**i - 303*s. Calculate d(j(c)).\nAnswer: 53*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2309*s = 4*k + 2313*s - 32, -4*s = -5*k - 59 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**2*u))\/u)\/(u\/u**(-3)))**(3\/7) assuming u is positive.\nAnswer: u**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17020858*c - 17020796*c + 34041634*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.21, -2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1259*u**2 - 2514*u**2 - 283 - 4*u + 1249*u**2 wrt u.\nAnswer: -12*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62.3 + -63.156. Round x to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - (-4 + (4 - 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8340066 and 72?\nAnswer: 33360264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*n - 65 = 0, -33 = -g + 5*n + 1. Suppose -4*i + 3 + g = 0. What is the third derivative of s**3 + 2*s**2 + 8*s**6 - 9*s**6 - s**i wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:37 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + 10100000001001011010?\nAnswer: 10100000001001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430)*3*4)\/(sqrt(54)\/((sqrt(9) - sqrt(99)\/sqrt(44)) + sqrt(9))))**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/5)*f*f*f**7)\/(f\/(f\/(f\/(f\/(f*f\/(f\/(f*(f\/((f*f**11)\/f))\/f)*f)))))*f**(-13)))**(-29\/5) assuming f is positive.\nAnswer: f**(-4698\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/18)\/(-2))\/((-336)\/(-504))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -3*z. Which is the nearest to z? (a) -5 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164220255*z**4 + 199220072 wrt z?\nAnswer: -656881020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 5\/17, 5?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -13*t**4\/4 + 303*t**3\/4 - 1137*t**2\/4 + 1417*t\/4 - 285\/2 = 0.\nAnswer: 1, 30\/13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (30\/700)\/(168\/20)*8*1\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/8*1440\/(-600)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*y**2 + 0*y - 9\/2*y**4 - 21\/2*y**3.\nAnswer: -3*y**2*(y + 2)*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0093 * -7.\nAnswer: -0.0651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:28 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/13, 2\/5, 7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/54*2916\/7938*(-7)\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 55907320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(1*-1*sqrt(7)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 7*w**2 + 4*w + 14 - 7*w + 88 in the form h + g*w**2 + z*w and give h.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17752524.\nAnswer: 2, 3, 29, 139, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 1 + 10*u**2 + 13*u - 18 + 3. Calculate x(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 46816*x**3 + 140454*x**2 + 140456*x + 46819.\nAnswer: -(x - 46819)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 - 3*o - 3. Let s be p(-1). Let z = s - -22. Suppose -m + 17 = 2*g + 10, z = 2*g - m. Solve 3*d + 2 = -y - 0, 0 = -d + y + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o - 5. Let y(s) = 21*s - 4. Calculate -4*f(v) + 5*y(v).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -11. Let x be 177\/((-1)\/(0 - 5\/5)). Let n = x - 168. What is the greatest common divisor of n and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 98301*a + 98278. What is q(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 - 5133640*i - 3294282456200 = 0. Calculate i.\nAnswer: -1283410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-30) - 22\/24)*-4. Let d be ((-2)\/z)\/((-4)\/18). Suppose -513 = -4*l + j, -d*j + j - 642 = -5*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {r: 2, z: 2, c: 4, v: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-53)\/252 - (-8)\/36. Let g = h - 181\/1092. Do g and -1\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.3 - 5.8. Let h = n + 13. Let v = 12179.75 + -12184.75. Is v bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*n + 7, 2*n + n = -2*m. Let l(a) = -64 - 2*a - a**3 - 17*a**2 + 14*a**n + 63. What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 28*a - 56 = 0. Let s = -46 + a. Solve -z = -3*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510541 and 32542?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 3*f**2 + 2*f**2 + 5*f + 5*f**2 - 12*f**2 + 5. Differentiate y(u) with respect to u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372279920 a multiple of 5630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-406)\/(-21))\/(10\/15). Is (g\/3)\/((-29)\/(-4611)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/5)*k)\/k)\/k*k**(1\/4)*k)\/(k**(-2)\/k**(2\/7)) assuming k is positive.\nAnswer: k**(271\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 7:32 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {j: 2, n: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00374302325 to 5 decimal places.\nAnswer: -0.00374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19159 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3075567, -3075563, -3075559, -3075555, -3075551, -3075547?\n\"Answer: 4*c - 3075571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/54 + 3)*5220\/(-1450)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (23 - 2\/1). Let a(g) = 10*g**2 + 18 + 0*g + 0*g - f. What are the prime factors of a(2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2 - 2)\/((-82)\/287). Let d be 38\/(-3*6\/(-63)). What is the greatest common factor of b and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**2 + 23*v - 12*v**4 + 25*v + 18*v**3 + 3*v**5 - 45*v.\nAnswer: 3*v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11561154*n**3 + 3*n**2 - 194708301*n?\nAnswer: -69366924*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17100032 or 17100031?\nAnswer: 17100031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.8 from 51.36814189.\nAnswer: 55.16814189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11498461063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(2\/(-4))\/(-1). Let c(l) = 3*l**3 + k*l**3 + 2*l**2 + 3*l - 7*l**3 - 3. Let h be c(3). Let z(q) = q + 3. Give z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36984 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from kzzmkkzkkkzizzzii?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s + 12. Let f be g(1). Which is the second biggest value? (a) 1 (b) 5 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182\/5 + (-8)\/20 is divided by (30\/75 - (-166)\/60)*6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z - 16*z**2 + 1\/15*z**5 + 0 + 0*z**4 + 0*z**3. Let q(o) = -8*o**2. Give q(j(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v**2 - 47*v + 274. Give s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**5 + y**3. Let w(i) = -12*i**5 + 3*i**4 + 6*i**3 + 133*i**2. Let x(z) = 6*d(z) - w(z). Find the third derivative of x(v) wrt v.\nAnswer: 360*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -4*l, 4*l + g - 1 = -3. Let x(j) be the first derivative of j**2\/2 + 7*j + 202. Calculate x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171) - sqrt(171)*1*-6) + 1*(sqrt(171) - -1*sqrt(171)))*-3)\/(sqrt(36)*1 - 2*sqrt(144)))**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*l + 13, 0*l - 26 = -3*k + l. Suppose 13*u - k*u - 5508 = 0. Suppose 5*h + 4*h = u. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1943 - -3062. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, y: 1, n: 3, v: 1}. Give prob of picking 1 y, 1 r, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 536 + -535.8685. What is s rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.046, -3, -8.\nAnswer: -8, -3, -2, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20259.5 - 20260. What is the closest to -1 in 4, m, 5.57?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13254 + 33761. List the prime factors of v.\nAnswer: 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-3 - 4)) + 3\/(27\/33)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/((-4)\/8). Find the third derivative of -i**4 + 7*i**4 - i**4 + n*i**2 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 21 + -72 + 60?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((3339\/12)\/(-7))\/6 and 95\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -29*c**2 + 177*c + 2092. Give i(-10).\nAnswer: -2578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*g + 147, 17*h - 21*h - 4*g = -624. Let u = h + -153. Solve 4*y = -u*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wno. Give prob of sequence no.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 16514?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 5. Let q be g(5). Suppose -23 = -3*v - 5*j, -2*v = 2*j - q*j - 14. Suppose m + 125 = v*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2951310702 to the power of 1\/2, to the nearest integer?\nAnswer: 54326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q = 2*d - 53*q - 6, 2*q + 2 = 2*d. Solve -4 - 6 = d*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-80))\/((-792)\/440)*12\/42.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*k + 435*k - 66*k - 43*k - 73*k in the form q*k + c and give q.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tulw when four letters picked without replacement from {l: 1, w: 2, u: 1, t: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11632893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4024 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38858992*g*v**3 + 16709*v**3 + 125*v wrt g.\nAnswer: 38858992*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/88 and 3\/14740.\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360240296 to the power of 1\/3, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201280 and 14620.\nAnswer: 8655040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, 2, -0.3, 646 in ascending order.\nAnswer: -0.3, 2, 329, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -711b + 1d47?\nAnswer: -51b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046936781 rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**4 - 31*w**3\/3 - 45*w**2\/4 - 9*w\/2 + 6. Factor x(n).\nAnswer: -(n + 3)*(2*n + 1)*(8*n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (-17 + (29 - 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 91 = -91. Which is smaller: r or 3\/122?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40761 - 13*v**3 - 40761.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d*d**0))\/(d\/d**13))\/(d**(-1))**(-1\/49) assuming d is positive.\nAnswer: d**(685\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:45 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845651 is divided by 845642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 323593203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) -0.03 (b) -14.79 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121912 and 19904.\nAnswer: 975296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 + 4 = 2*i, 1321*i - 1319*i + 1 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from aabaanbmbameaaamabab.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -372 + 639. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 3. Suppose i - w*s - 56 = -i, 3*i - 5*s = 82. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 3*l - 92.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwc when three letters picked without replacement from wcvwccbgcccwgv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 12 (c) -22 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120023033321 - 113?\nAnswer: 120023033202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -2, -66195, -5 in increasing order.\nAnswer: -66195, -5, -2, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18004012?\nAnswer: 2, 13, 29, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000 + 101111011?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92868 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6244 - -50047\/8. Find the common denominator of -143\/120 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 - 92. Let m = -53 + n. What are the prime factors of 230*(10\/25)\/m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096.793 milliseconds in nanoseconds?\nAnswer: 2096793000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(3 - 99\/(-88)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -59. Let l(z) = z**3 - 17*z + 4*z + 0*z**r + 11*z. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1384\/7266)\/(36\/21).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let o be l\/(-11)*8\/24. Are o and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 + 631*h**2 - h - 10. Let v(i) = i**3 - 126*i**2 + 2. Calculate -2*d(r) - 11*v(r).\nAnswer: -r**3 + 124*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*b - 140*b = 5*i - 2521, -5*i = 5*b - 1795. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84804 is divided by 28221?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4 + 139*y - 66*y + 2*y**2 - 69*y. Give p(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20822 is divided by 981?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 531109799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16409 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -16520303?\nAnswer: 16520301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac (base 16) to base 7.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s - 8*s**2 - 5 - 7 + 0. Let a be l(-8). Let i(q) = 5*q**2 + 4*q - 5. List the prime factors of i(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:13 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 1. Let c(b) = 3*b**2 + 6*b - 5. Let y be (7 - 6)*(-16 + -2)\/3. Let t = 0 - y. What is t*l(d) + c(d)?\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259412844 or -259412842?\nAnswer: -259412844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 137385477 and 45?\nAnswer: 137385432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -112130012?\nAnswer: -112130023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 658*w + 802 wrt w?\nAnswer: 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j. Let n be w(-5). Suppose -1008 = 61*r - 109*r. Suppose -i + r = n. Which is the nearest to -0.2? (a) 2 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 213103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - v = -1, -4*v + 17 = -2*n + 3*n. Solve -n = 4*l - 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Let a = -0.008 - -4.808. Let m = w - a. What is the second biggest value in m, 0, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(7)*-2)\/(sqrt(16) + sqrt(16)*1 + sqrt(4)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2488607517 - -30.7511396583. Let n = 0.048 - -30.952. Let q = n - x. Round q to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-5 + (9 - 21))) + -18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34587?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.0941 - 988.2401. Let u = -648.1319 - x. Let j = 292 - u. Round j to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7*n - 227 = 2*n, 0 = -4*m - 3*n + 237. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308*g**4 - 10 wrt g.\nAnswer: 1232*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104542, 418170, 940884, 1672684, 2613570, 3763542, 5122600?\n\"Answer: 104543*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*n**2 + 0 - 8\/3*n = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 37*s = 27. Calculate the smallest common multiple of 19 and s.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/20 + 7*x**4\/12 - 3*x**2\/2 + 2*x. Let o(d) = -3*d**2 + 196*d + 139. Let f be o(66). What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13403*u**2 - 2*u - 4. Let c be v(-4). Let q = 364444 + c. Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:16 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 18 - 10)*(-1 + 2*i**3 + 0 - 1).\nAnswer: 58*i**3 - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4*(1 - 0))\/(-2). Let v be (-40)\/60*(-42)\/4. Suppose -v*k - 1 = -8*k. Put k, -1, c in decreasing order.\nAnswer: c, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 314706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1005759 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j + 0*j + 5*j + 0*j. Let n(g) = 2*g**2. Give m(n(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4317 and 107\/204.\nAnswer: 293556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 93. Solve -p - t*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -954\/5 in -4, 5, -0.204, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -75990 (b) 3\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/26 + (-6753)\/39. Let x = 300 + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1800051, 1800033, 1800011, 1799985, 1799955?\n\"Answer: -2*a**2 - 12*a + 1800065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -5 - (-1 + 2). Suppose -3*j + 4*q + 116 = c, -6*q + 205 = 5*j - q. Suppose -6*v + 390 = 7*v. Calculate the highest common factor of v and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -4. Let y(h) = 0 + 2 - h + 0*h. Let c be y(q). Solve c*g = 4*u + 24, -3*u = 4*g - 6*u - 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992944 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: Convert 138 (base 10) to base 6.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 1)*(-2 + 3 - 2)*(5*i - 3*i - 3*i)*(-4 - 5 + i + 5) as k*i**2 + h*i + b and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {h: 2, o: 2, v: 1, w: 1, c: 1, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 38*c**3 - c + c**2 + 37*c**3 + c**4 + 10 as f + t*c + s*c**4 + n*c**2 + q*c**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13767*v + 1166. Is o(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 12*y + 4. Let u = -2 - -1. Let d(z) = z. Let a(m) = u*s(m) - 12*d(m). Find the first derivative of a(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15995, 31988, 47981?\n\"Answer: 15993*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 4)*(-3 + 5 + 0) + 2 - 5 + 2)*(-1250*d + 1433*d - 1197*d).\nAnswer: -1014*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 87*v = 1815 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13535.7*9.\nAnswer: 121821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10000110 (base 2) to base 9\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8897, -8867, -8807, -8711, -8573, -8387?\nAnswer: -8147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*4*(-2)\/(-12). Let x = 37 + -19. What is the common denominator of 79\/22 and (-77)\/x - i\/(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24672436, 24672434, 24672430, 24672424, 24672416, 24672406?\n\"Answer: -m**2 + m + 24672436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283*p + 9188*p + 13035*p = 2262*p + 1661732 for p.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 444303720 divided by -1586799\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 - -13) + -5 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - d + 717 = 0, 3*d + 137 = a - 0*d. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-6)*k\/k**(-3\/5)*(k\/(k\/((k**(-1\/2)*k)\/k)))**(8\/11) assuming k is positive.\nAnswer: k**(-207\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1438 - (-2)\/(5\/(-50)*-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 20 = -4*i. Let n(f) = f**3 - 4*f**2 - 3*f - 6. Let z be n(i). Suppose -z*h = -b + 27, 0*b + h + 59 = 5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547136910 + -242417038. Suppose a = -4*u + 11919872. What is u rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001001010 - 1?\nAnswer: 10100001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30795 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u. Let r = u - 7. Let l = r - -10. Solve -l*a + 5 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2092, -2094, -2096, -2098, -2100, -2102?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/3 - 40735068*k**2 - 81470134*k - 122205200\/3 = 0?\nAnswer: -61102600, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18457086.987 + 18425859. Let s = d - -31186. Let r = s - -42. Round r to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*i\/(i\/(i*(i**6\/i)\/i)*i)*i)\/i)\/i)\/(i*i**(-6))*(i\/(i\/(i\/i**3)))\/i**(2\/7)*((i**(2\/7))**37)**(-28) assuming i is positive.\nAnswer: i**(-2018\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6188 - 92768\/15. Let u = -4\/5 + d. Find l, given that 4*l - u - 2*l**2 + 1\/3*l**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11799 + 2*p**2 - 11475 - 324 + 14*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 3*l + 4. Let u be r(5). Let y = u + -11. Suppose 3*g - 1949 = t, 0 = -y*g + 5*t + 83 + 1874. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 21 + 111 = 0. What is the remainder when 27 is divided by (9\/n)\/((-1)\/(-4)) + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.9708 to 1 decimal place.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, t: 11}. Give prob of sequence tjt.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4*d**3 - 776. Let u(c) = -21*c. What is p(u(y))?\nAnswer: 5292*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 45*b + 2025\/2.\nAnswer: (b - 45)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/7 + 22952520*j\/7 + 114762500\/7.\nAnswer: 4*(j + 5)*(j + 5738125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985740863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*h - 4*p + 2, 5 = -h - p. Let w be 33\/(-4)*(-4 + h). Suppose w = 5*u + 2*k, 0 = 5*u + 4*k - 14 - 17. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 d when three letters picked without replacement from yxyyyytdtztxx?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 16. Let q be j(7). Let s(m) = 40*m**2 - 4*m. Let a be s(q). Let c = -26 + 45. Calculate the greatest common factor of a and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/150*12\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:44 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:39 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 102 - 5*c**2 + 11*c**2 - c**3 + 101 - 9*c**2 as w*c + h*c**2 + j + a*c**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094653.6 rounded to the nearest 1000?\nAnswer: 2095000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 = -97*q - 738 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (145\/(-783))\/((-8)\/(24\/(-15)))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - n + 8. Let w be j(0). Let x be w*5\/60*9\/2. Let t be 2\/24*(-6)\/(-2). Which is the closest to t? (a) -0.5 (b) x (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13. Let c(g) be the third derivative of g**6\/120 + g**5\/10 - g**4\/4 - 5*g**3\/6 - 7*g**2. Is c(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) -358970 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 87*p**3 + 1084*p - 3 - 1084*p.\nAnswer: -87*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - 8*w**2 + 17*w**2 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336161 to the power of 1\/2, to the nearest integer?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -7 - (0 + 2). Suppose 5*n - l = 10. Suppose 4*j - r = 89, 2*j + n*j - 103 = 4*r. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/60 + 601*z**5\/60 - 13*z**4\/24 + 10*z**3 + 2*z**2 + 147. Find the second derivative of c(k) wrt k.\nAnswer: 12*k + 1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2 (c) -3\/2 (d) -1922.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -510728 (c) -3 (d) -2 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12727\/1547 - (36\/28 + -1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 40*i**2 - i. Let q be f(1). Suppose 0 = -97*w + 94*w + q. Calculate the greatest common divisor of 169 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252))**2*-3 - (4 + -2*sqrt(252))) + -5*(-4 + sqrt(252) + (sqrt(252) + 0)**2 + sqrt(252) + sqrt(252)).\nAnswer: -4268 - 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Let l be d*(-2 + (2 - -2 - 3)). Solve l = j - 0*x - 2*x + 9, 4*x + 7 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*-3*30\/80?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + h**2 - 2*h**2 + (h + 0 + 0)*(-9*h - 5*h + 8*h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34138 divided by 101\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/40 - o**3\/3 - 3*o**2. Let t(x) be the first derivative of u(x). Let p(r) = -2*r. Calculate p(t(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -25. Let x be 57*(32\/(-12) - s). Calculate the greatest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllojlvmo. Give prob of sequence ljm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o - 47. Let u(c) = 241*c - 956. Let f be u(4). Determine x(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 10*o + 6. Let r be p(-10). Let k(j) = 13*j - r*j - 8*j. Let s(d) = d**2. What is k(s(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 11, r: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -19*m + 918. Let s be u(48). Let q(o) be the second derivative of -o - 7\/2*o**2 + 0 + 1\/3*o**3. What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 446953917177?\nAnswer: -446953917176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4 - 24. Let y be (-7 + (-25)\/z)*-2. Let g(t) = -2*t + 3. Determine g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13824822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 - 243.07. Let o = -4 + m. Round o to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(0 - 4\/24). Put -5, d, 5 in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.1, -2\/17, 2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 5 + (1 + 0 + 1)*(3 - 2 - 2))*(3*i - 6*i + 4*i + (-1 + 5 + 0)*(i - 4*i + i)) in the form j*i + r and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + a = -31*j + 2160, -a - 4329 = -2*j. Is 103 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868 divided by 2618.\nAnswer: 62\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*j + 362 - 330. Let b(u) = -2*u**2 - 2*u - 1. Let c(x) = -x. Let v(m) = m. Let w(y) = 3*c(y) + 2*v(y). Calculate j*b(h) + 5*w(h).\nAnswer: 2*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, i: 11}. What is prob of sequence kiki?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/4)\/5)\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5. Let r be k(7). Suppose -5*j + 7 = -3. Factor -d + r - d**j + 3*d**2 + 5*d.\nAnswer: 2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80379 is divided by 724?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 2. Let k be q(3). Let b(x) = -x**3 + 6*x**2 + 7*x + 4. What are the prime factors of b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let w(g) = g**2 - 212*g + 21328. Determine f(w(b)).\nAnswer: -4*b**2 + 848*b - 85312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 795528.\nAnswer: 13\/795528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 - 1)*(4\/(-32) + 26\/(-48)). Which is the nearest to 1.1? (a) -5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 - 7*m - 7. Let x be k(-4). Solve 21 = 2*r + x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -3*o - 0*o. Let k = 53 - o. Suppose -4*z - k = -5. Solve 5*i + 6 = 4*h, -z - 5 = -i - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7160 * 105\nAnswer: 751800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 4 - 10 - -5 - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -178.443538 to 2 decimal places.\nAnswer: -178.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)*p)**(5\/6))**(-38) assuming p is positive.\nAnswer: p**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f + 5. Let m be 7\/(7\/(-4)) + 16. Suppose 2*y - 5*t = -2*y + m, 0 = 3*y - 3*t - 12. What is the remainder when 9 is divided by o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - s + 6 - 10 = 0, 3*n + 5*s = 16. Suppose 3*r + 2*k - 210 = 0, -n*r + r + 4*k = -56. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, b: 11, a: 2, y: 1, f: 1}. Give prob of sequence bah.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**2 + 2*y - 1. Give q(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Let o be 3\/g*(3 + 1). Let d = o - -18. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 2*k - 2*j, -2*k - 2*k + 827 = -j. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12632 - -5?\nAnswer: -12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -26829*k - 53686. What is r(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 - 1168*v**3 - 168176*v**2 + 686784*v - 691488 = 0. What is v?\nAnswer: -294, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12.3. Let u = 0.2 - s. What is the closest to 3\/5 in -0.3, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*q**4 + q + 0*q + 45*q**4 wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:53 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 0. Suppose -u + 44 = 2*g, -2*u - 2*g = -k*g - 82. Let t = -24 + u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j)\/j**(-1\/2)*(j\/j**(-8))\/(j\/(j\/j**(-5))*j))\/(((j*j**(2\/7)\/j)\/j)**(-32)\/(j*j**(-1\/3)\/j*j*j)**(2\/61)) assuming j is positive.\nAnswer: j**(-28103\/2562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 323786 + 0?\nAnswer: 323786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286004 not equal to 2285972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 11*q - 87. Let r be c(-6). Let t(a) = a**3 - 16*a**2 + 14*a + 9. Calculate t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -12c?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (18 + -4 - -5 - 22) - 124?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7441789 to three dps.\nAnswer: 6.744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(-45)\/(g**(2\/27)\/(g\/g**(4\/5)))*((g**(1\/7)\/g)\/g)\/((g**2\/g)\/g)*((g**(-2\/13)\/g)\/g)\/(g\/(g*g*g**5\/g*g*g*g*g*g)) assuming g is positive.\nAnswer: g**(-1030528\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/19)*w*w)**(-9\/11)\/(w\/w**(-22)*w*w*w*w*w*w**12*w) assuming w is positive.\nAnswer: w**(-824\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/(15 + -7). Let h(d) = -52*d**3 + 52. Let k(o) = -o**3 + 1. Let u(z) = p*h(z) - 13*k(z). What is the first derivative of u(n) wrt n?\nAnswer: -117*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1062 = -21*m + 19*m, -m = -2. Let n = c + 1449. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 3*r**2 - 2*r**2 + (-6765*r**2 - 640 - 709 - 706 + 2057)*(-2 - 1 + 4) in the form i*r**2 + b*r + a and give i.\nAnswer: -6767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let i(c) = -1294*c**2. Give s(i(b)).\nAnswer: 5176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -325*h + 5\/2*h**4 + 170*h**2 + 375\/2 - 35*h**3.\nAnswer: 5*(h - 5)**2*(h - 3)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -12303?\nAnswer: -12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-2) - -1)\/(1764\/(-56) + -20 + 51).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:36 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -674? (a) -11745 (b) 5 (c) 2 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Let n = 3 + -2. Let y = n + 4. Solve 0 = u - 4*j + 12, x*u = -2*j + y*j - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546759241?\nAnswer: 7, 78108463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*s**2 + 3\/4 - 1\/8*s - 1\/8*s**3 = 0. Calculate s.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 4. Let w be i(0). Solve -w*q - q = 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 4*d - 3*d. Let t be o(1). Put -2, t, -4 in ascending order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 6*s + 2*s - 3*s**2. Suppose 3*c = -c - 8, -18 = 2*h + c. Let k be o(h). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvffvtf. Give prob of picking 1 t, 2 v, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 9 + 0\/(-1). Let w = -0.59 - -0.19. Sort t, 1, w in ascending order.\nAnswer: w, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76690 minus -991?\nAnswer: -75699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.497 and 599777?\nAnswer: 298089.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -296 + 506. What is the greatest common factor of 84 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 17}. Give prob of sequence ama.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/2)\/s)\/s*s)\/s*s\/(s\/s**(-4\/9))*s)\/(((s*s*s**1*s)\/s)\/s*s**2)*((s**(-1\/2)\/s)\/(s**(-5)*s))**(1\/2) assuming s is positive.\nAnswer: s**(-133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 833126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-4) - (-1)\/(-2). Suppose 3*w = -3*a + 33, w + t + 2 = 0. What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000804579 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 682, 1338, 1966, 2554, 3090, 3562?\n\"Answer: -2*n**3 - 2*n**2 + 676*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 - 15 = 0, -p + 27 = 3*q. Let r be (-6718)\/(-7098) + q\/(-35). Let j = r - -1\/169. What is the nearest to 0.2 in -3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5417 + -5417.0003179. Round k to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-9))\/(-31)*24*1\/1?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0\/4)\/(-2). Let i = p + 15. Let c = i - -15. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s**3 + 21*s**2 - 11*s + 20. Suppose 4*d - 44 - 20 = 0. Calculate the remainder when d is divided by j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1389.\nAnswer: -1\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 154. Let i = -31.205 + -109.852. Let v = i - g. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4227*m + 204896 - 82719 + 296804 - 59686 for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 14. Let y(v) = -3*v**2 + 5*v - 5. Let g(r) = -26 + 91*r - 97*r + 4*r**2 + 32. Let a(b) = -5*g(b) - 6*y(b). Calculate a(w(s)).\nAnswer: -18*s**4 + 168*s**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 103*s**2 + 12*s - 20. Let a be d(2). Calculate the highest common divisor of 884 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*b - 35, p + 2*b - 906 + 893 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j**2 - 64*j**2 + 32*j**2)*(-j**3 + 3*j**3 - j**3) - j**4 + j**5 + j**4.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 162.\nAnswer: -13\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -3\/4*n**2 + 0 - 3\/40*n**5 + 1\/8*n**4 + 1\/4*n**3 + 9*n. Determine r, given that c(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -629*v**5\/20 + 87*v**4\/4 + v**3\/2 - 2068*v**2. What is the second derivative of c(f) wrt f?\nAnswer: -3774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 minus -9.4?\nAnswer: 1561.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqqqtqqqqqtqq.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 20 = 4*p, -7*l + 8*l - 4*p + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1695 and -22962?\nAnswer: 38920590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 4*v**2 + 5*v - 3. Let a be t(-6). Let k = a - -2338. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*b + 31 - 1, b = 2*d - 18. Let a be (1 - 2)*(-3 - 5). Let n = d - a. Solve -n*w + 5 = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2109 divided by -57.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2 - 58*g**2 - 52*g**2 + 219*g**2 - 56*g**2 - 54*g**2 + 2*g. Let t(r) = -r**2 + r - 1. Suppose -h = -2 - 0. Calculate h*t(i) - p(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -7*t + 393. Find x such that t + 1\/4*x**3 + 1\/2*x + 3\/4*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 13010*r + 13009*r + (1 - 1 + 2*r)*(3 + 1 - 6) - 2*r - 1 + 1.\nAnswer: -7*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*f - 99, 0 = -2*o - 4*f + 26 - 2. Let u = 39 - o. Suppose 2*b + u = 5*v, v + v = 6. What is the smallest value in 0, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-19*w**2 + 50*w**2 + 23*w**2) + 0*w**2 + 2*w**2 - 4*w**2 + (-2*w - w + w)*(-6*w + 3*w + w) - 8*w**2 + 0*w**2 + 3*w**2.\nAnswer: 105*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(8\/(640\/(-50))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 39045*u - 39059. Give z(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2509, 5722, 8935, 12148, 15361?\n\"Answer: 3213*c - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhkkhkukkkkkkoh. What is prob of sequence ou?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/(-2) + (-7)\/(7\/2). Let z = a + 82. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:56 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1216) - (0 + sqrt(1216))*4))**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 30. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59977424714 and -1165?\nAnswer: 59977423549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2\/2 + 6*k - 8. Calculate o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10868076?\nAnswer: 2, 3, 19, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(832) - (1 + sqrt(13) + -5).\nAnswer: -17*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from vrvhkhhhrfvvfh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 1 + 0 + 2*t**2 - 8*t. Let w be o(-1). Suppose w*a = 0, -26 = -4*c + 3*a + 118. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4 + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = 38*i - 34*i. Let s = 586 + i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920 - 302 - 2*y - 325 - 293.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 1512.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 + n - 170*n**2 - n.\nAnswer: -143*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/360 - o**5\/120 + o**4\/4 - 5*o**3\/2 + 16*o**2. Let j(l) be the first derivative of g(l). What is j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1487, 2871, 4255, 5645, 7047, 8467, 9911?\nAnswer: 11385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.05. Let l = j - 0.65. Let v = l + 0.6116. What is v rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 1, n: 1, u: 2}. Give prob of picking 1 n, 2 q, and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.81 - -16.81. Let m be 2\/(-9) - 2\/18. Which is the nearest to j? (a) 5 (b) m (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*a**3*v*w + 3*a**3*w**2 - 2*a**3*w - 21*a**2*w**2 + 5*a*v*w**2 + 4*a*v*w wrt w.\nAnswer: 6*a**3 - 42*a**2 + 10*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051906 rounded to five dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**2 - 7*h - 4. Let o(x) = -3*x**2 - 3*x - 2. Let v(y) = y + 14. Let c be v(-16). Let g be (4 - 3)\/(c\/4). What is g*s(w) + 5*o(w)?\nAnswer: -w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51463493 to the power of 1\/2, to the nearest integer?\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 20*o + 19 = 3*m, 0 = -2*o + 5*m - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 71, 75, 81, 89, 99, 111?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2\/7 + 118960*r\/7 + 2380800\/7 = 0 for r.\nAnswer: -20, 29760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**6\/10 - z**5\/4 + 5*z**3 + 16*z - 1. What is the second derivative of p(l) wrt l?\nAnswer: -36*l**2 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4\/9 (b) 892 (c) -335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -70227648?\nAnswer: 1\/23409216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 27*o**3\/2 + 34*o**2 - 48*o.\nAnswer: o*(o - 1)*(o + 4)*(o + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcxvxccxxvhchihcccv. What is prob of picking 1 c and 1 i?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 18. Suppose -5*t + w + 20 = 0, -20 = -5*t - 0*t + 4*w. Let m = t + i. Solve 0 = -q - 3*g + 1, g + 7 - m = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/11 + 20\/110. Suppose -r - o + 2 = -2*r, 4*r = 3*o - 4. Solve z + r = -a, 4*z = x*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 - 289*p**4 + 5674*p**3 - p**2 + 47*p + 965 wrt p.\nAnswer: -60*p**2 - 6936*p + 34044","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 7, r: 3}. Give prob of picking 1 i and 3 r.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203123 (base 4) to base 7.\nAnswer: -6416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.064 and 7557281.\nAnswer: 7557281.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 33486 = -33746 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 228 = -8*z. Suppose j + u + 8 = -j, -4*j = 5*u + 22. What is the units digit of j\/(z\/84 + 9\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/52039327 and 83\/29572.\nAnswer: 208157308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1137908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914554164?\nAnswer: 2, 53, 563, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(12)\/sqrt(4)) - sqrt(36))\/(sqrt(12) - (-3*sqrt(108) + sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 1830 = -12*u. Suppose 0 = -4*o + 5*i + 6247, -2*o + u = 2*i - 2213. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 327*k + 634 - 258*k - 280 + 226.\nAnswer: 5*(k - 116)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16855172 to the power of 1\/2, to the nearest integer?\nAnswer: 4106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 155. Let v = k - -108. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**5 + 150*u**4 - 222*u**3 - 60*u**2 + 231*u - 90 = 0. What is u?\nAnswer: -1, 2\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, j: 3, l: 1, o: 2}. What is prob of picking 1 l and 1 j?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 10*t = -115. Suppose 4*d + 3*c = t, 20 = 5*d - c + 3*c. Put -2, d, 3 in ascending order.\nAnswer: -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*s**3 - 339*s - 340*s**3 + 161*s**3 + 338*s.\nAnswer: 467*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 30*m**3 - m**2 - m + 4. Let t be w(-3). Suppose -2*r - 315 = -31. Let z = r - t. Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000955198 rounded to 6 decimal places?\nAnswer: 0.000955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14324407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-6 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 806977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, c: 1, l: 1, m: 1}. Give prob of picking 1 l, 1 f, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 8. Let d be (12\/42)\/((-1)\/(-7)). Suppose -d*q - 2*b - 13 = -b, -2*b - 32 = 5*q. Give r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - b)*(-2 - 8 + 2).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 492\/5 - 98. Which is the nearest to 1\/2? (a) -9 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Let c(l) = 17*l**2 - 27*l**2 + 11*l**2 + l - n - 5*l. Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -899*c + 13. Let u(v) = v**3 - 12*v**2 + 10*v + 14. Let p be u(11). Let d be (-13)\/(-5 + 3 + p). Let o be y(d). Round o to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410*h = -404*h - 3546. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from ttttgtgtngg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 14*z - 120. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 1. Let s(j) = -5*j - 2. Let p = -620 + 894. Suppose -p*b + 273*b + 3 = 0. Calculate b*s(v) + 4*r(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25270*g - 25566*g = -411 - 1680 - 2349 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llh when three letters picked without replacement from lhhhlggghhgh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/108*4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163773678 divided by 126858.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*b - b + 273 = 0, 5*v = 5*b + 1455. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-22)*w\/w**(-5\/7)*w*w)\/(w**(4\/7)*w*w*w**26) assuming w is positive.\nAnswer: w**(-321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 4, k: 4, r: 1, f: 1, m: 1}. Give prob of picking 1 f, 1 r, and 1 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172008 by -4.\nAnswer: -43002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292 - 292.1. Which is the closest to x? (a) 11 (b) 2 (c) -1\/8 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - 11100001110010000?\nAnswer: -11100001110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z + 3. Let j(f) = -f**3 - 4*f**2 + f + 3. Let a be j(z). Let l = -0.4 - -0.2. Sort a, l, 2 in decreasing order.\nAnswer: 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18045 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.78 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 + 1 + (-3)\/(-1). Let s be (-4)\/(-10) + (-46)\/w. Solve s*o = 3*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 8*o + 10. Let l be s(7). Suppose l*g + 2*g - 2*h = 20, -2*h = g + 8. Suppose b + 62 = -g*t, -b = -6*t + 2*t + 38. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpz when three letters picked without replacement from fmzmrmprffrfmmzr.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 359520 and 300544698.\nAnswer: 300904218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -3*w + 36. Let l = w - -16. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0*c + c + 23 - 8. Let b be o(0). Solve 0 = -4*d + i - 2*i - b, d - 3*i - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -68. Suppose v + 1 = 0, -4*p - 2*v + 286 = -0*v. Let z = p - k. Solve -m = -z - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-24)\/(-4))*12\/54*15\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*(45\/(-12))\/5. Let k be ((-1)\/3)\/(2\/v). Factor 1 + 0*i - 3*i**2 + 0*i**k + 2*i.\nAnswer: -(i - 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6062, 12199, 18406, 24683, 31030, 37447, 43934?\nAnswer: 50491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4983\/54 + 3 - 2\/(-9). Let a = 96 - k. Let y = -0.13 + 0.03. Sort 2, a, y in ascending order.\nAnswer: y, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0216 at least -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 124. Is (-999)\/12*-6 + f\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(14)\/sqrt(2) - sqrt(1050)\/sqrt(6) - (1 + (2*sqrt(35)*-2)\/sqrt(5)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2700 = 13*q + 14*q. Suppose -q*d - 4 = -102*d. Calculate the smallest common multiple of 1*(34 + 0 - 0) and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0 - -4)\/1. Let p(m) = -5*m + 0 - 3 + l. Let t(x) = -4*x**2 - 43 + 23 + 20. Determine t(p(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17797550 is divided by 11075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30806640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -39. Suppose 3*a - 11 = -23. Sort b, a, 2, -5 in increasing order.\nAnswer: -5, a, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*j + 3738*j - 1029*j + 1084*j.\nAnswer: 4926*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.26469 micrometers to nanometers.\nAnswer: 99264.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52740 and 379728?\nAnswer: 1898640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/3 - 75\/(-225). Let s be 6\/9*n*15\/10. Solve q + 3*q - s = -m, -5*q + 3 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/279 and 61\/79821.\nAnswer: 2474451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)*u)**(-1\/2)\/((u**(-2\/7)\/u)\/(u\/(u\/(u*u**(-1\/7))))) assuming u is positive.\nAnswer: u**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28263*-0.42\nAnswer: -11870.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -3, -5, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -630637788 divided by -4\nAnswer: 157659447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from sggugugugsguugggos?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0480933 + 3140614.\nAnswer: 3140613.9519067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3131103233 (base 4) to base 7\nAnswer: 10463540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133)*2 + sqrt(133))\/sqrt(7) + sqrt(19) + sqrt(19) + -5*sqrt(1216)*-1)**2.\nAnswer: -288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 86478156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82\/15 + -11\/3. Let g = -310421\/19005 + 2\/6335. Find the common denominator of c and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:06 AM?\nAnswer: 271","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 3495 - 3384. What is the remainder when d is divided by 108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1198*5\/(-10) + 16 + -20. Calculate the highest common factor of 35 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -130*b - 1. Let u(n) = 2*n + 1. Calculate q(v) + 5*u(v).\nAnswer: -120*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 974*n**3*o + 582*n**3 wrt o.\nAnswer: 974*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 10. Let o = -9 + w. Let t be o\/(-8) - (-22)\/8. Solve t*u - z - 6 = 0, -16 = u + 4*z - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1073, -2265, -3449, -4625, -5793, -6953, -8105?\n\"Answer: 4*w**2 - 1204*w + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 49 + 43 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/19)\/x))**(-6\/11)*(x**30)**(3\/46) assuming x is positive.\nAnswer: x**(4023\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/25 or 0.06681?\nAnswer: 0.06681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:18 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*o + 33, -o + 5673*a = 5674*a + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, -1\/4, 5, -10\/17?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 24*o + 1999 = -5336. Sort 0, o, 2 in decreasing order.\nAnswer: o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1904 + -1929 - (1 + -2 + -35)) + 48 + 1\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.6 + 13.76. Let g = -3 - -3.04. Let u = d + g. Which is the nearest to 0.1? (a) u (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -12*n**2 + 5*n - 14. Let z be g(6). Let u = 467 + z. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*r**2 + 178*r**2 + 2153 - 4294 - r + 2146.\nAnswer: 382*r**2 - r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(27)\/sqrt(9)))**2 - 4*sqrt(8)\/sqrt(4) - (sqrt(22) + sqrt(550)*-1 + sqrt(22))\/(sqrt(132)\/(sqrt(24)\/sqrt(2)))) + 0.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(((1 + sqrt(192) + sqrt(192))*6)**2 + (sqrt(192) + -1 + -3)**2) - ((-1 + sqrt(192) + 0 - sqrt(192))*-2 + 4)).\nAnswer: 1088*sqrt(3) + 27884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38138 - -14794. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12 = 42. Let b(c) be the first derivative of c**4\/4 - 2*c**3 + 3*c - 2. Calculate b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {h: 5, r: 3, b: 2, k: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 + 15*b**3 + 17*b**3 - 45*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 631?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 196*k**3 + 213*k**3.\nAnswer: 407*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {t: 1, v: 6, n: 6, q: 1, h: 6}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0 - 2*i**2 + 1\/300*i**5 - 1\/30*i**4 + 1\/10*i**3 + 0*i. Suppose j(r) = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(1\/7))\/k*k*k)**(5\/7)\/(k**(-7\/3)*k\/k**(1\/14)*k))**(-2) assuming k is positive.\nAnswer: k**(-719\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -10b34a0?\nAnswer: -10b34b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 1\/15*r**5 + 0*r**3 - 1\/120*r**6 + 0 + 0*r - r**2 - 1\/6*r**4. Let y(t) = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 23492*o**4 - 329672*o**3 = 0. Calculate o.\nAnswer: -14, 0, 5887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a**2 + 2*a)*(-a - 3*a + 2*a)*(-3 + 3 - 2*a).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100110111001011 (base 2) in base 10?\nAnswer: 118219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113\/295 + 1\/59. Let d = -0.1 + -0.9. Suppose 16 - 6 = -5*s. What is the nearest to o in s, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1.1, 0.2, -4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 314 (c) 2\/5 (d) -13.785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.13. Let m = -2\/19 + 52\/133. Which is the fourth smallest value? (a) 0.3 (b) -1 (c) y (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1385 or 1389?\nAnswer: 1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.82 (b) 3\/7 (c) -2\/11 (d) -0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48+-0.14\nAnswer: 47.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z - 94 = 0, -4*z - 150 = 3*m - z. Let v be 4\/(-10) + m\/(-80). Which is the closest to 1\/4? (a) -1 (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -218 in -3\/5, -4, 0.22, 0.4, 1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 - 2*g + 266. Let o be s(0). Let x = o - 155. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/5019 and -83\/225.\nAnswer: 376425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Let d = -10 + 5. Let m = d + x. Sort m, -3, 3 in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*p = -0*n + 6, -3 = p. Sort 2, 4, -5, n in increasing order.\nAnswer: -5, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*4 - sqrt(209)) + sqrt(209))*-6)\/(sqrt(1584) + (1*sqrt(1584) - sqrt(1584))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/118 (b) 316351 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125, 275, 405, 509, 581, 615?\n\"Answer: -v**3 - 4*v**2 + 169*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28976*y + 552 = 29022*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)\/(t*t*t*t*t*t**(1\/8)*t)*(t\/(t**(-2\/3)*t))**(6\/31))**(-3\/46) assuming t is positive.\nAnswer: t**(21561\/57040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2958 is divided by 162?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*s + 3*j + 107222 = -65*s, s + 3*j = 21448. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 0*n + 3*n)*(-162*n + 43*n + 69*n + (-4 + 0 + 0)*(-1151 - 43*n + 1151)) to i + q*n**2 + u*n and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-5)\/45*-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-2)\/12). Suppose 0 = -2*g + y + 2. What is the third derivative of d**2 + d**2 - 4*d**2 + g*d**3 - d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -148*r**2 - 142*r**2 - 5*r**3 + 433*r**2 - 145*r**2. Let q(x) = -56*x**3 - 22*x**2. Give -6*q(n) + 68*z(n).\nAnswer: -4*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.4344ml to litres.\nAnswer: 0.7234344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5231 is divided by 1720?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((-1*(-1*sqrt(832) + sqrt(832) + sqrt(832)) + sqrt(832) - 4*(sqrt(832) + -1 + sqrt(832)))**2 - (0 + sqrt(325) + -3*sqrt(832)))).\nAnswer: -53260 + 493*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*n + 4, q = -n - 2 - 0. Let a be q - -4 - (-2 + 0). Is (-105)\/(-10)*(-2 + 20\/a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7673 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 15) to base 9.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocobo. What is prob of sequence cb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - 6. Calculate the common denominator of (-18*3\/15)\/(p\/(-6)) and -89\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (16 + -33 + 31)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*v**2*w**2 - 2*v**2 - 5*v*w**2 + 2*w**2 - 49507 wrt w?\nAnswer: -158*v**2*w - 10*v*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + g**3)*(-18 + 7 - 10)*(0*g - g - g + (2 - 1 + 1)*(0 - 2*g + 0) - 3 + 3 - 2*g + (0 + 0 + 2)*(-2*g + 5*g - 4*g) + 0 + 0 + g).\nAnswer: 189*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/742197 and -89\/2694.\nAnswer: 1484394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92007 - -1?\nAnswer: -92006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 590951743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -o + 408. Let i(p) = p - 55 + 16*p**3 + 105 - 5*p**3 - o. What is i(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 576.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1, -4816 in decreasing order.\nAnswer: 3, 2, -1, -4816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 34. Let i be m(-5). Calculate the greatest common factor of i and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let f(n) be the third derivative of n**4\/24 + n**3\/2 - n**2. Suppose 6*k - 3*k + 9 = 0. Let q = 1 - k. Calculate q*i(z) + 2*f(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6344 - 164949\/26. Is 16 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 3*m - 39 + 37)*(-2 + 6 - 3).\nAnswer: -3*m - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2\/2 + 301. Let w(y) = -2200*y. Calculate w(u(k)).\nAnswer: -2200*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*h - 9*h = -6181, -4622 = -3*b - h. What is the greatest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2 - 2)*(-186*k**2 + 397*k**2 - 92*k**2)*(-5 + 4 + 2).\nAnswer: 238*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*p = -479, -2*p - 321 = -2*b - 3*p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:43 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067165 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4799644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 - -30.85172.\nAnswer: -76.14828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 minus 144?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 430 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -371778.26 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -21 - 15. Let g be 1016\/x*(-9)\/(-2). Suppose 0 = 47*v - 50*v + g. What is the remainder when v is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -17\/2. Let u(b) = -2*b - 20. Let h(z) = -1. Let j(m) = -h(m) - u(m). Let o be j(-9). What is the second smallest value in n, -2, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 2, i: 3, c: 2}. Give prob of sequence iqqi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399673255 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (2 + sqrt(1100) - sqrt(1100)) + -2)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35217748 divided by 17608874.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c30 (base 14) in base 4?\nAnswer: -1323022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 42*x - 26*x + 5*x**2 - 21*x - 1. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.43 and 3.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176 + -175. Suppose -2*j = -0*j - 4*o + 62, 3*j + 5*o = -93. Let g = 34 + j. Put 2, -3, y, g in decreasing order.\nAnswer: g, 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 3*t**2 + 4*t - 13*t to the form q + i*t**2 + y*t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6199 + 6239. What is the greatest common divisor of 256 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 117*u - 93*u = 30*u - 8988 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30493 - -55777. List the prime factors of a.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 smaller than 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/22)\/(3\/4). Suppose -3*t - 24 = -3*v, 4*t = 3*t + g. Let m = 12 + v. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 1. Let r(f) = 2*f**2 - 115*f + 107. Let o(g) = r(g) + 3*z(g). Factor o(l).\nAnswer: 5*(l - 22)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-5*i + 3*i + i) + (2*i - 6*i + 3*i + (0 + 4 - 6)*(i + 0 + 0) + 6*i - 3*i - i)*(-6 + 2 + 2).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:08 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 6*f**2 - 5. Give t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 11 = 2*p + 3*p, -3*p + 7 = 2*n. Suppose p = s + 5*k, -2*s = -s + k - 13. Sort 4, s, 3, -2.\nAnswer: -2, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -153, -214, -273, -330, -385?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294621571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -1. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5212 - 2420 = 16*w. Let v = -475 - w. Solve -5*f = 4*n + 7, -n + v*f = -3*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 + 5 - 1 - 2 + 0 + 10*w + w**3. Let r be c(-3). Let v be ((-1)\/26)\/(2\/(-8)). Is r at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13833.0000004093 + -13833. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 1830 = 21*b + 15*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.4 + -10.3. Let r = -12.4 + w. Round r to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -83 (b) 4 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -10. Let f = -0.391 + 0.3. Let l = 1.091 + f. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-19)\/((-2736)\/(-32)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 105. Suppose 28 = 5*b + p. What is the second derivative of -s**b + 47*s**3 + 39*s - 5*s**3 wrt s?\nAnswer: 246*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 1, x: 1, i: 3, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 4*f = 113 + 527, 1367*f - 1369*f = -5*z + 138 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*f - 17 = -188, 4*f = -2*n + 116. Let o = -3 + 2. Let x be ((-26)\/(-6))\/(o\/(-3)). Calculate the highest common factor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a**2 - 773*a - 233. Determine i(-77).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*t = 181*t - 326*t - 54. Let u = -1 + 1. Solve -z = t - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = 5*x, x - 4*o + 10 = -7*o. Suppose x*k - k - 122 = 0. Let t = k - -22. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91417 >= 91401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -93, 6, -4 in increasing order.\nAnswer: -93, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 2. Let q be z(-2). Suppose -17*v = -12*v - 50. Let n be (-3)\/15*v\/q. Which is the nearest to 0? (a) n (b) -2\/7 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21240873 * 0.06\nAnswer: -1274452.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11*f - 6*f + 38 = 0, -12 = -4*s - 3*f. Solve 3*n - s*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 9*s + 10. Let q be o(-9). Suppose 0 = 5*k + 2*f - 12, 2 + 3 = 2*k + f. Let w be 2\/4 - (-79)\/k. What is the greatest common factor of q and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwmw. What is prob of sequence wwmw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 102211222120?\nAnswer: -102211222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*q**4 + 80*q - 546 wrt q.\nAnswer: -16*q**3 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-845)*(-6188)\/34\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1248)\/(-65) - 11) + (-63)\/15 + 3. What is the nearest to -0.1 in 28.4, x, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-3)))\/k)\/((k*k\/k**(-12)*k*k)\/k)*(k\/(k*k**3\/k*k))**(-6\/29) assuming k is positive.\nAnswer: k**(-533\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 1041, 2349, 4181?\nAnswer: 6537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c - 5. Let t be u(-8). Suppose -8*v + t*v = -120. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 56*z**2 + 21*z**2 - 121 + 0*z + 36*z**2 to k*z + j*z**2 + f and give f.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-55) - 49244\/(-4510) - (-49)\/(3038\/(-682)).\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26927 + 53859\/2. Put i, -1.582, 1\/4 in decreasing order.\nAnswer: i, 1\/4, -1.582","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694149211 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -21 - (1 - 11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2) - 0)\/(-11). Let i = -8 - -10. Let h = -3\/13 - -51\/52. What is the nearest to 0 in p, i, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Let n = 0.14 + -1.14. Which is the third biggest value? (a) f (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3\/3 - 201*w**2 - 6224*w\/3 + 4940 = 0.\nAnswer: -57\/5, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4737110 by -1295.\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(720)*-5)**2 + -2.\nAnswer: 648001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obr when three letters picked without replacement from {p: 1, x: 1, r: 1, b: 1, o: 2, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 8. Let h(j) = j**2 - 11*j + 16. Let p be h(10). Let y(t) = -6*t - 4 + o + 8*t**2 + p - t - t**3. What is y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501881543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3081?\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006883 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5. Let f = 128 + -123. Which is the third smallest value? (a) f (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1 - 2*i + 2 - 3. Let r(c) be the third derivative of -2*c**2 + 0*c**3 + 5\/24*c**4 + 0*c + 0. Calculate r(n(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2417205, 2417246, 2417325, 2417448, 2417621, 2417850, 2418141, 2418500?\n\"Answer: i**3 + 13*i**2 - 5*i + 2417196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -78*c**3 + 6*c**2 + 29*c + 34. Give l(-2).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*c - 2)*(3*c + 0*c - 4*c) + (-6 + 1 + 1)*(c**2 - 6*c**2 + 3*c**2) + 2 - 2 + c**2 as i*c + d + p*c**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from qvsgvrsvqrsv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.2, 51, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 20*a - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 8. Suppose 0 = 5*t - 7 - c. Suppose 4*q - 1 = 3*b + 2, t*b - 21 = -3*q. Sort q, -4, 10 in decreasing order.\nAnswer: 10, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3931 (base 11) in base 4?\nAnswer: -210333212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (3 - -1)\/((-9)\/(-36)). Suppose -b + 2*f = -f - d, -4*b = -f - 21. Let n = -15 - -9. Sort 1, b, n in descending order.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 43. Which is the closest to j? (a) -4\/3 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212073 is divided by 406.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11ee3 - -5?\nAnswer: 11ee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1)\/(2*(1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 49427575.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 588558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1336, -1323, -7970, -18605?\nAnswer: -33228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/9 + 3776*q**2\/9 - 11314*q\/9 + 7540\/9 = 0. Calculate q.\nAnswer: 1, 2, 1885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:34 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 3*p - 2*k + k, k - 4 = 0. Let b = p - 153. 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: Which is the nearest to 1\/4? (a) 0.3 (b) -0.2 (c) 18.38 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -0*n + n. What is the common denominator of (-2)\/(-10) + (-153)\/n and (-2)\/10 + (-1758)\/60?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140000 and 1309000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y**2 + 0*y + 12 - 1\/3*y**3. Let l(c) = 6*c. Determine s(l(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -232, 1, -2, 3 in decreasing order.\nAnswer: 3, 1, -2, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/6 + 0. Let p = l + 2\/3. What is the closest to p in 4\/5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 26*h + 28. Let d be q(12). Suppose d*f + 158 = 2*l + 6*f, -153 = -2*l + 3*f. Calculate the lowest common multiple of 78 and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**5 + f**4 - 55*f**2.\nAnswer: -2580*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 320 = -d + 5*o, 2*o = -2*d + 672. Solve 0 = -326*n + d*n - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:06 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 658, 2172, 5104, 9922, 17094, 27088?\nAnswer: 40372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132662299 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3416*x - 3417*x - p = -2, 0 = -2*x + 3*p - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**5 - 21*q**2 + 4*q**5 + 20*q**2 + q**4 + (1 - 3 + 1)*(q**5 + q**4 - q**4).\nAnswer: 11*q**5 + q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3592*j**3 + 79476580*j**2 + 439624503136*j - 1468679628 = 0. Calculate j.\nAnswer: -11063, 3\/898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-9)*(15\/(-6) + 1). Is (2300\/12 - s)\/(4\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:00 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*s*x - 24*j*s + 2*j*x**2 + 5*j - s with respect to x.\nAnswer: -4*j*s + 4*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1442013?\nAnswer: 1442014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 e when four letters picked without replacement from aoeookkoooqeoekkqeee?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051075 rounded to 5 decimal places?\nAnswer: 0.00511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(108\/10)*30\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.87 + 0.87. Let l = 6 - 4. Let n be (l\/10)\/(2\/(-5)). Which is the third smallest value? (a) 4\/7 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:44 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 0, 3 + 4 = -2*x - z. Suppose 0 = 4*d - 3*d + 1. Is d != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30*g**3 - 2 + 40*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w**3 + 15*w**2 - 13*w - 13. Let f(o) = o + 6*o + 6 - o - 8*o**3 - 7*o**2. Determine -13*f(v) - 6*n(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 4*o + 3. Let c = -4 + -11. Let n = c + 8. Let v(h) be the third derivative of h**5\/30 + h**4\/12 + h**3\/3 + 4*h**2. Give n*v(w) + 4*k(w).\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, v: 1, t: 1, s: 1, q: 1, j: 1}. Give prob of sequence lstj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (4 + 3))*-1. Let z = x + 23. Calculate the remainder when z is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 2:17 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-3 - a + 3) - 326 + 549*a - 337 + 983 - 332 + 430*a.\nAnswer: 977*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003381 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -32*q - 22. Let k(a) = -15*a - 10. Let c(u) = 9*k(u) - 4*v(u). Let g(s) = -15*s - 4. Determine 9*c(x) - 4*g(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 + i**2 + i - 1. Give o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 3024 = -3*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905431.\nAnswer: 19, 205549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23705?\nAnswer: 23710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 30 = -9*v. What is the nearest to -0.2 in 1\/3, v, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mywqkqyqyyy. Give prob of sequence kw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.6. Let a = -12927 - -12925. What is the smallest value in -0.4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4000 divided by -1695.\nAnswer: 800\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8670365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/3155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 3*u + 621. Let t = u + 50. Let h = t + 30. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3076, 3073, 3068, 3061, 3052?\n\"Answer: -q**2 + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 29 = -4*d, -a - 14 + 2 = 3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 4*r**2 + 5*r - 5. Let j be p(2). What is the greatest common factor of 42 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210 (base 5) in base 11?\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50660 + -83335703\/1645. Let r = 17431\/3290 - g. What is the common denominator of 45\/7 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - z**2 + 1. Suppose 3*k = 6*k + 6. Let p(y) = -y - 1. Let j be p(k). Let w = j - 2. Calculate x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2 = 6182*u - 6187*u, -3*m = -3*u + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -886984 divided by 53?\nAnswer: -886984\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 7 - 25. Let c = l + 14. Do c and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**3 - 4*w**2 + 4*w - 3. Let q be y(2). Let a = q - 16. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*s**2 - 22*d - 60*s**3 - 2*s wrt s?\nAnswer: -4*d - 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(25\/7475*13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 1486 - 1469 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + r = -f + 24, -4*f = -2*r - 22. Let u(l) = -l**2 + 7*l - 1. Let b be u(f). Is b at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887701 (base 9) in base 3?\nAnswer: 11222221210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r**(-13))**19 assuming r is positive.\nAnswer: r**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1112.658089 to 1 decimal place.\nAnswer: 1112.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88276, 349319, 784390, 1393489, 2176616, 3133771, 4264954?\n\"Answer: 87014*x**2 + x + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6464.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10312 by 2.\nAnswer: -5156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13 + 1)*4437\/(-68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2151 - 1250. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/40797 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c**4 + 7*c**4 - c**4)*(-3 + 2 - 1).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 11 = 53. Suppose 5*h + 1 - r = 0. Solve 5*s + 10 = y, 3*s - s + h = -4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let j be d(-3). Suppose 75 = -j*c + 19. Let u = c + 29. Solve 2 = -2*h + t + u, 19 = 5*h + 2*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/6, -3, -14, 3\/2506?\nAnswer: 3\/2506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 9*d**2 - d - 8. Let k be x(-9). Suppose -h = k - 4. Suppose -u - 10 = -h*u. Solve y = -4*y - u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 257170 to the nearest 1000.\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 6. Let j be g(6). Suppose -j - 24 = 3*b. What is the remainder when 17 is divided by (-6)\/b + (-34)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**3 - 65*t + 65*t)*((-5*t + 11*t + t)*(-5 + 5 - 1) - 2*t + 3 - 3).\nAnswer: -90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -1c1?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 57*x. Let z(m) = m**2 - 18*m. Let r(u) = -2*u**2 + 39*u. Let s(o) = 6*r(o) + 13*z(o). Determine y(s(n)).\nAnswer: n**4 - 57*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 664 = -0*o. Let k = 47 - o. Suppose -3*v + k = 87. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/12 - p**5\/30 + p**4\/8 + 2*p**3\/3 + 8*p**2. Calculate the remainder when w(-2) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16093 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -8. Let r be m\/3 - (-4)\/(-6). Let k be (-12)\/15 + 1 + (-16)\/20. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g**4*r - 4*g**4 + 2*g**3*r - g**3 - 1086*g**2*r + 5*g*r - r wrt g.\nAnswer: 600*g*r - 96*g + 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 5. Let k be (2 + -5)*(-12)\/18. Let j(w) = -w**2 + 1. Determine k*g(s) - 10*j(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.40000056 - -2.4. Round c to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 34*d - 19. What are the prime factors of b(14)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173 and 473674.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 19*v**2 - 21*v - 5. Calculate q(20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s**2 - 21*s**2 + 9*s**2 + 12*s**2. Let z(a) = 2*a**2. Give d(z(v)).\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*o - 34, -o = -4*b + 3*b - 10. Let c be o\/10*30\/12. Suppose c*p - 43 = 5. What is the remainder when 46 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d - 215*d + 51*d + 42*d + 52*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092840*l - 1092840*l + 12*l**2 - 9*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:56 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31664*f**4 + 21*f**2 - 1482*f - 742?\nAnswer: -379968*f**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 257*p = 114*p + 7257 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 858 = 4126. Let c = l - -1191. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229092, 458189, 687286, 916383, 1145480?\nAnswer: 1374577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hhnnhhnnhhhhnhhnrh.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - 0. Suppose 0 = c + r - 5. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-3*s**5 - s**5 + 3*s**5) + (2*s**5 - s**2 + s**2)*(-3 + 2 - 40) + 2*s**5 - 2*s**2 + 2*s**2.\nAnswer: -79*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kekxkkkkkxken. What is prob of picking 1 k, 1 e, and 2 x?\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30887 - -6856901\/222. Let i = 19466 + -77765\/4. What is the common denominator of z and i?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9573*a - 9574*a - 6.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0818 and 120.\nAnswer: -9.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 12*i**2 - 2*i + 6. What is z(11)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-32 - (0 + 15 + 4))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29e - -315a?\nAnswer: 2ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-11)*j*j*j*j*j\/(j\/j**(-11\/4)))\/(j**7*j)**(-40) assuming j is positive.\nAnswer: j**(1245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:50 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:28 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185218*i**3*k**3*v**3 + 14*i**3*k**3 - i**3*k*v**3 + 108*i**3*k*v - 104*i**3*v**2 - 20*i**2*k*v - 2*i*k**2*v**2 + k**2*v wrt k.\nAnswer: -1111308*i**3*v**3 + 84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11347 is divided by 1038?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35063 is divided by 31919?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130753370 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.5, -1\/3, -10 in ascending order.\nAnswer: -10, -1\/3, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -346\/13 equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 z, and 1 e when four letters picked without replacement from {z: 7, i: 5, e: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 81. Solve 4*z - v - 13 = 2*v, 5*v = -u*z + 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)\/(3\/(-12)). Let b = -1999 - -1994. Sort f, b, 32 in decreasing order.\nAnswer: 32, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/154 - (634\/(-22) + 2). Suppose 2*s + n = -s. Sort 2, s, 4 in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 126, 85, 38, -21, -98, -199, -330, -497?\n\"Answer: -j**3 + 3*j**2 - 43*j + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/229419656 and -34\/5.\nAnswer: 1147098280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*h + 83*h - 582 = -9926 - 5554 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*sqrt(833) - (sqrt(425) + 1 + sqrt(425) - ((sqrt(68) - (2 + sqrt(68)))**2 + sqrt(17))).\nAnswer: -37*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let z(m) = m. Let t(b) = 2*o(b) + 3*z(b). Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -192*l + 113*l + 6 + 105*l. Let s(h) = -3*h + 8. Let n(v) = 5*v - 14. Let c(w) = -4*n(w) - 7*s(w). Determine q(c(y)).\nAnswer: 26*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -6. Suppose 8*p + 30 - 14 = 0. Which is the closest to p? (a) 2\/7 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(5)*-3)**2 + sqrt(15)\/sqrt(3) + 4.\nAnswer: sqrt(5) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 4*d**3\/3 - 5*d**2\/2 - 5*d - 103. Let s(u) = -9*u**2 + 11*u + 11. Let g be 1 + 5 + (5 - 5). Determine g*s(p) + 13*x(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - k - 5, -5*k = 14*b - 12*b + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/42 + (-86)\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412324 (base 5) to base 2.\nAnswer: 11010010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((4 - (-4)\/(-4)) + -6). Let s be (4 - o)\/(2\/(-2)). Find the second derivative of -3*l - l**2 + 12*l**2 - 4*l + s*l wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from xvyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(1\/2)*j*j*j)\/j))**(24\/13))**(-7\/5)\/((j\/(j*j\/(j**(-2\/23)*j*j*j)))\/(j**(1\/4)\/j)*j**(2\/3)*j*j*j\/(j\/j**(-2\/19))*j) assuming j is positive.\nAnswer: j**(16163\/68172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, l: 7, g: 1, s: 2, h: 3}. What is prob of sequence sgh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*d = -10*d - 23*d + 16 + 150 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*o - 166, 35*f - 30*f - 197 = o. What is the greatest common factor of f and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:00 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:50 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 195668493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 23, 7, -19, -55, -101?\n\"Answer: -5*l**2 + 9*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5*-6)*(-423)\/(-94).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*k**2 - 2*k**2 + k**2.\nAnswer: -5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10165637423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 468*b**2 + 5*b**3 + 88*b + 65 - 98*b.\nAnswer: 2*b**3 + 468*b**2 - 10*b + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*d - 706*d + 2*t = 13, -5*d = -5*t + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-60) - 1\/2. What is the smallest value in -3, -1, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6498 - 7628. Which is the closest to -1? (a) -0.1 (b) y (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 231, 519, 911, 1401, 1983, 2651, 3399?\nAnswer: 4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 - 7*q + 5. Let g be z(6). Which is greater: 2\/9 or g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/3 - (5 + -3). Let r(b) be the second derivative of s*b**2 + 1\/5*b**6 - 11\/18*b**4 - 1\/5*b**5 + 0 + 4\/9*b**3 - 2*b. Find a such that r(a) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 43\/5 (c) -2\/133 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3\/7, 2, 2\/3, -74, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(3\/4))**(8\/11))**(-34))**23 assuming u is positive.\nAnswer: u**(-1564\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 99. Let t be 9\/(-2)*(-2)\/3. Suppose t*u - 27 = 6. Calculate the greatest common divisor of v and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 1\/2, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 76 + 163 = 0. What is the greatest common divisor of t and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 + 0*n**2 + 1\/3*n**4 - 1\/4*n**5 + 0*n**3 - 6*n. What is the third derivative of o(l) wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.55 - 38.55. Let f = -3 + 2. What is the second smallest value in 5, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - 0.91. Sort -4, k, 5 in descending order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:26 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17288172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Suppose 0 = v + 3*w - 5*w - 21, 3*v = b*w + 53. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -11376\/311?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from htchhhthhhtschcshsss?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z - 1. Let c(b) be the first derivative of 2*b**3\/3 + b**2\/2 - 4*b - 1781. Suppose -4 = m - 2*w, 2*m - 4*w + 12 = w. Give m*y(q) - c(q).\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmmomomoo. Give prob of picking 1 n and 3 o.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -26. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/47)*d)*d**(-3))\/((d*d**6)\/d**(-4)) assuming d is positive.\nAnswer: d**(-660\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 263*x - 4762. Let t(j) be the second derivative of -j**2 + 23\/6*j**3 + x*j + 0. What is the derivative of t(z) wrt z?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**8\/560 - s**4\/12 - s**3\/6 + 3*s**2. Let q(f) be the first derivative of n(f). What is the first derivative of q(i) wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -0.4. Let j = 6.8 + -7. Let f = 52 + -158\/3. Which is the second smallest value? (a) f (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.84 + 103. Let d = p - 1.22. Let c = d + 0.06. Which is bigger: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403a (base 12) to base 11.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67240?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -383?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c + 3*r, -r + 17 = -5*c - 7. What is the biggest value in -0.5, c, 5\/3, -0.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25237 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6 + 2*c**2 - 6. Let w(t) = 4*t**2 + 10. Let o(z) = z**2 + 3. Let g(i) = 20*o(i) - 6*w(i). Determine g(x(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/6, -4, -1.14, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 304862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -4*p. Calculate the smallest common multiple of p and 57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122140 (base 6) to base 2\nAnswer: -10101001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i - 4. Let h(t) be the second derivative of t**6\/360 - 23*t**3\/6 - 22*t. Let q(u) be the second derivative of h(u). Determine n(q(j)).\nAnswer: -8*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6438, -13299, -20160?\n\"Answer: -6861*f + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:23 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/20*22\/(-1). Let l = -11 - f. Which is greater: l or -1\/18?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78\/11 - -557\/77. What is the fourth biggest value in 0.2, y, -5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/135, 0.1, 1, -0.4?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*u*v - 6*i*u + 951*i*v + u with respect to u.\nAnswer: 3*i*v - 6*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00323 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 - d**5\/10 - 7*d**4\/24 - d**3\/3 - d**2. Suppose 4*q + 44 - 14 = -3*a, -2*q = -4*a - 18. Is h(a) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*3*(-2)\/6. Solve 4*f = -2*l - 8, u*l = 23 - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-7 + 17 + -6) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 3\/7, 5\/3, -8.27, -87, -31?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*(-21)\/14. Suppose 0*u + 5*a - 144 = -n*u, 2*a = 0. Suppose -2*o = -5*v + u, 0 = -3*o + 7 + 5. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/9 + 32*u**3\/9 - 52*u**2\/3 + 224*u\/9 - 98\/9 = 0 for u.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 1064 - 1227*b + 1229*b)*(0*b**4 + 3*b**4 - 5*b**4).\nAnswer: -4*b**5 + 2472*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80 + 0\/(-2) - 0. Suppose -5*z + s = -3*z. Let q = z + -91. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d - 3*g - 8 = 0, 9 = -5*d - 2*g. Let i be (-5 - -2) + d - -2. Is (3506\/(-3))\/(i*3\/27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**4 + 239\/6*g**3 + 3 + 1\/15*g**6 + 23\/20*g**5 + 0*g**2 - 51*g. What is the second derivative of b(i) wrt i?\nAnswer: 24*i**2 + 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -23*a**4\/2 - 1037*a**3 + 19811*a**2\/2 - 14185*a - 2772 = 0.\nAnswer: -99, -4\/23, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -5, 3, 13 in decreasing order.\nAnswer: 13, 9, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3303 is divided by 174.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/3 + 19*y**5\/5 - 4*y**3\/3 + y + 134. What is the third derivative of m(p) wrt p?\nAnswer: 120*p**2 + 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -74, -92?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3842 rounded to two dps?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 + 172. What is the units digit of ((-3720)\/d)\/(4\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 13596304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134*((-240)\/(-30))\/(-24))\/((-16)\/24).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 91*h**3 + 4*h + 41 - 82 - 3*h**2 + 38. What are the prime factors of f(2)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190432457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let s(x) = -x**2 - 19*x + 7. Let t be s(-19). Let v(o) = 3*o. Let g(h) = t*m(h) - 5*v(h). Let i(n) = -2*n**2 - 14. What is i(g(p))?\nAnswer: -2*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 - 2 + 4*k - 21*k + 2. Determine d(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 1 = 5*t. Suppose 5*m = t*m - 8. Solve -3 - 17 = -m*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.9.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51573 weeks in nanoseconds?\nAnswer: 311913504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*n - 2*f, -2*n = -f - 15. Solve -l - 5*d = -7*d - 1, 5*l - 5 = -n*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/14 - (-39)\/(-91). Let q = 59 + -37. Is 224\/q + z\/(-11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(8)\/sqrt(256) - sqrt(2)) + sqrt(2) - (sqrt(1400) + sqrt(14))\/sqrt(7).\nAnswer: -81*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609 - 407. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3785542 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/2520 - w**4\/8 - w**3 + 2*w**2 + 11. Let k(i) be the second derivative of o(i). Let d(b) = 6*b**2 - 12*b. Give k(d(a)).\nAnswer: -36*a**4 + 144*a**3 - 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2856 - -4423. What are the prime factors of d?\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 21 = 249. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 28, -33, -150, -329, -576, -897, -1298?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -245 (c) -0.222 (d) 1\/14 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/10)\/((-1)\/(-2)). What is the closest to 1\/3 in 4\/5, -8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 + -17 - -18 - 42004\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117153 is divided by 23372.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 3*v - 5*v + 2*v - 7 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11120 + -11119.8. Which is the nearest to 2? (a) -2\/9 (b) v (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6450?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 12*s - 3*s + 285 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41847039*j**3 - 1240149791*j**2 wrt j?\nAnswer: 251082234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 10 - 20. Suppose 1 = -q - m, 2 = q - 2*m + 6. Sort j, -3, q.\nAnswer: -3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5044b (base 13) in base 6?\nAnswer: -242323540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111936 a multiple of 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = 3*k, 6 = 4*k - 6*k. Let h be (-6 - -4 - 3)*v. Suppose -5*y + 295 = -4*d + 35, 0 = 3*y + h*d - 193. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 + 3*x - 12*x**2 - x + 156 as w + l*x**2 + n*x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13110 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgd when three letters picked without replacement from dguhdsudddduhgg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29691.654 rounded to the nearest 100?\nAnswer: -29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50955 - -5?\nAnswer: -50950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2834 + -1600. Let n = x - 642. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = -0. Suppose 0 = 5*u - 5*o - 5, -3 = 2*u - n*o - 1. Suppose u*h = 4*h. Solve -2*k + h*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6836.0613189805679 + 0.0612507605679. Let k = -6836 - u. Round k to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**4 + 58*v**2 + v**3 - 55*v**2 - 1 + 3 + 2*v to u*v**4 + p*v + a + f*v**3 + h*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 65 = r, -2*w = -4*r - r + 257. Let y = r + -29. What is the third derivative of -24 - 5*k**4 + 16*k**2 + y wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -26, 21012, 1 in decreasing order.\nAnswer: 21012, 1, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*u - 709. Let f = 189 + u. Calculate the highest common factor of 140 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:22 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14\/3, 16.\nAnswer: -14\/3, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6)\/(2\/(-12)). Let f = 12 - u. What is the units digit of (3\/2)\/(-3)*f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 3\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68899 and 4.\nAnswer: 275596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9031096 decades in centuries?\nAnswer: 0.09031096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13264388.\nAnswer: 2, 127, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiziziiiieiiiiieiizz. What is prob of sequence eeii?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 11) to base 2.\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 - 129. Suppose k = 3*d - 991 - 1289. Round d to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 8*a**2 + 8*a + 2. Let s(v) = 6 + 14 - 19. Let z(y) = o(y) - 3*s(y). Let r be z(-9). Solve -2*i = -0*i + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/19 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5022441, 5022449, 5022455, 5022459, 5022461, 5022461, 5022459?\nAnswer: 5022455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 11. Let w(j) = -7*j + 13. Let c(l) = 5*w(l) - 6*x(l). Let q(r) = -5*r**2 + 4*r + 3. Give -2*c(o) + q(o).\nAnswer: -5*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 1\/4*p**4 + 1\/2*p**2 + 0*p**3 + 2*p. Find the first derivative of a(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -245, -4007.2 in descending order.\nAnswer: 2\/7, -245, -4007.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42050, 42047, 42044, 42041?\n\"Answer: -3*r + 42053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000854269 rounded to 7 dps?\nAnswer: -0.0000854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5949*t**3*w + 192926*t**3 - 3*t**2*w + 2*t*w wrt w.\nAnswer: -5949*t**3 - 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 4. Let u(r) = 3*r - 5. Let o(l) = 2*j(l) + 3*u(l). Determine o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638 (base 10) to base 3\nAnswer: 212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 54.16. Do -2\/7 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 - 4*k**2 + 4*k. Let l(t) = 5*t + 3*t**2 - 4*t**2 - t**3 - 1 + 2*t**3 - 4*t. Let b(j) = -4*l(j) + z(j). What is the derivative of b(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c - 3 = -2*b, -4*c = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 + 3070*j + 361725 = 0.\nAnswer: -455, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, a: 4, p: 11, z: 2}. Give prob of sequence ao.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006646 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/((-4)\/1*221\/3536).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 908798 at least as big as 908438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4459*l**3 + l**2 - 2*l - 2. Let m be t(2). Suppose 2*s + m = 4*h, -3*s + 0*s = -2*h + 17837. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 - 3*a + 1. Let y be s(2). Let o(w) = 27*w - 60. Let g be o(0). Let c be y\/100*g\/(-144). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 13 + 13\/2*f**4 + 0*f**2 + 0*f - 5*f**3. What is the third derivative of q(t) wrt t?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -0.2.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -26746\nAnswer: 35\/26746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 24 in increasing order.\nAnswer: -15, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 10. Let y be 6 - n\/(-1 - 1). Suppose -2*i = -2 + y. Which is bigger: -2\/7 or i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1416\/10 - -5*24\/300?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-76) + 63\/12 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 4. Suppose 4*y = -8, -7 - f = -w + 4*y. Suppose 4*a - 18 + 2 = 0. Sort w, 1, a in descending order.\nAnswer: a, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(98) - (sqrt(2) - -4*(sqrt(2) - sqrt(4)\/sqrt(2)))) + ((-4 + -1 + sqrt(450))**2 - (sqrt(450) + 0)*-1).\nAnswer: -157*sqrt(2) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uppiuwpuppwpis. Give prob of picking 3 p and 1 i.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31263385 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -53450523*p**5\/5 + 3848387004*p**4\/5 - 76323699912*p**3\/5 + 49416577632*p**2 + 234197712*p\/5 + 55488\/5 = 0. Calculate p.\nAnswer: -2\/4221, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 19. What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9) + 1 - 10\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -33. Let w(u) = -u**2 + 13*u - 17. Let g be w(11). Which is the closest to 1? (a) g (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 549144, 548639, 548136, 547635, 547136, 546639, 546144?\n\"Answer: f**2 - 508*f + 549651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10001111110111111?\nAnswer: -10001111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 >= -2\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*b + 2*b + 6 + 6*b**3 as y*b**2 + n*b**3 + x + v*b and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 4*c - 12*c - 7*c to x + r*c and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555427401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 10. Suppose -3*z = -z - 18. Let t be h(z). Suppose -4*g - 5*u = g - 100, g = -2*u + 23. What is the highest common divisor of g and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 + -211. Let t = 87.3 - f. Which is the third biggest value? (a) t (b) -1\/2 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-8))\/(-2*2\/544). Let o = k - -54. Let j be (-1)\/2*(-60)\/o. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -54. Suppose -29*k + 6 = -g*k. Let a = -12 - -15. Solve -a*j = -k*r - 17, 3*j - 25 = 5*r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (-1 - 14) - (-5107 + 5038)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12278 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h - 3. Let z(s) = 2*s**2 + 11*s + 7. Let l(k) = -9*x(k) - 4*z(k). Let n be l(-2). Let d = -350\/1413 - -4\/157. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054310898 to 6 decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(3\/24*-6). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1994*q. Let m(a) = 13*a. Determine m(p(s)).\nAnswer: -25922*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 63. What is the closest to -1\/2 in 0.3, 1\/2, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61392 and 3180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (7 - 39 - (-23 + -11)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n - 9. Let o be j(-6). Let r be (o\/(-26))\/(6\/(-8)). Suppose -q + 5*y - 69 = -r*q, -q - 3*y + 79 = 0. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1122.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m. Let d(x) be the third derivative of x**4\/12 - x**3\/2 + 11*x**2 - 2*x. Let f(w) = -5*w + 5. Let s(v) = -5*d(v) - 3*f(v). Give o(s(z)).\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -12.6. Let d = 10 + n. Let m = 185\/42 - 23\/6. What is the second smallest value in 6, m, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 87*i - 343. What is c(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3024221, -3024222, -3024223, -3024224, -3024225, -3024226?\nAnswer: -3024227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*s - 12 = 0, 284*s - 287*s = -m - 20 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37174050 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94384\/4858 - (-10)\/(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77293567*g**2 + 6474390*g wrt g?\nAnswer: 154587134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -247819, -247668, -247523, -247384, -247251, -247124, -247003?\n\"Answer: -3*m**2 + 160*m - 247976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 + -186. Suppose w - 4*c - 102 = 0, -w + 5*c = -0*w - k. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -0.8. Let v be (-11 - 0 - -1)*-3*10\/(-20). Which is the nearest to 0.1? (a) v (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 x when three letters picked without replacement from xddxxdccddxxcxcxxdwd?\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0 + 0 + 3*k**2)*(1036*k**2 + 2067 - 2067).\nAnswer: 6216*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v**3 + v**2 + 7*v - 5. Let c(d) = -d**3 + d. Let f(p) = 4*c(p) - r(p). Is f(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let o(q) = -7*q**2 + 28288. What is p(o(x))?\nAnswer: -14*x**2 + 56576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -309700000 rounded to the nearest one million?\nAnswer: -310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*l - 17 = 0, -17*f + 5 = -16*f + l. Let g(t) be the second derivative of 0 + 0*t**2 - 8*t - 4\/3*t**f. Let j(v) = v. What is j(g(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 12*j - 15. Calculate l(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22208 + 38626. What are the prime factors of o?\nAnswer: 2, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63 + -1ba1?\nAnswer: -1b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*p - 9, 5*j + 2*p + 34 - 28 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/(-34) - (-6)\/51. Which is the nearest to 1\/3? (a) o (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**2 - 129852364*q + 51940944 = 0. What is q?\nAnswer: 2\/5, 12985236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6 - r**2 + 6 - 8*r**2. Suppose 3*i = -4*w - 0*i - 1, 3 = -i. Let a(y) = 2*y + w*y - 5*y. Give o(a(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, w: 2, y: 2, x: 2}. What is prob of picking 1 r, 2 x, and 1 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -6*h + j, -h = -2*j - 11647 + 11705 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)\/(j*j**0*j)*j\/(j\/(j**(-7)*j))*j**(1\/2)*j assuming j is positive.\nAnswer: j**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u. Suppose -14*v + 9*v - 5*q + 20 = 0, -4*v = -2*q - 34. Let o(w) be the first derivative of v + 1\/3*w**3 + 0*w**2 + 0*w. What is h(o(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791912520?\nAnswer: 2, 3, 5, 7, 44893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) 7 (c) -2 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -5*(-22)\/55 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3, 949, -2 in ascending order.\nAnswer: -2, 3, 180, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15134333 - -3?\nAnswer: 15134340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 923286*w + 2223392 wrt w.\nAnswer: 923286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 3*z - 240. Let c = z + -193\/4. Sort 3, c, 1\/10 in descending order.\nAnswer: 3, 1\/10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovgovvonnnnn. Give prob of picking 1 n, 1 o, and 1 g.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 + -122. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1608 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -96?\nAnswer: -17\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from {v: 2, a: 5, h: 1, u: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.208 (b) 0.5 (c) 1 (d) 2 (e) 2\/15 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + 14)) + 107 + -105?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*a**4 + 755*a**3*i - 2*a**2 + 2*a*i - 15*a - i + 8231 wrt a.\nAnswer: -528*a**2 + 4530*a*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -18515 - 1156 - 58337. List the prime factors of g.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*l**6 + 3*l**4 + 28*l**2 + 3?\nAnswer: 25440*l**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7457, -29624, -66483, -117962, -183989, -264492, -359399?\n\"Answer: 12*i**3 - 7418*i**2 + 3*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: In base 6, what is 0 + 2024100404?\nAnswer: 2024100404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6440 = -u - f, 3*f + 19314 = 582*u - 579*u. Calculate the highest common divisor of 137 and u.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5890 - 5893. Which is the closest to 2\/3? (a) -112 (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r**4 - 2 + 0*r**3 - 5\/6*r**6 + 0*r + 2*r**2 + 0*r**5. What is the second derivative of d(n) wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/88*-8 + 12604\/(-980) + 12\/(-60).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27*t**2 - 8*t + 1. Let k be j(1). Is 132 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 + b - 5. Let d(n) = -n**2 + 19*n + 21. Let s be d(0). Suppose 0 = -8*i + 19 + s. Calculate y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 + 1\/12*i**4 + 0*i - 50*i**2 - 37\/6*i**3. What is the derivative of p(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4442, 4440, 4438?\n\"Answer: -2*d + 4444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.743 + 1.643. Which is the nearest to y? (a) 22\/5 (b) -2\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 552448 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from kmkkaecmck.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 5*o - 6. Let a be v(-1). Suppose 10*h + a = 11*h. Calculate the least common multiple of 4 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j + 18 = 40*j. Suppose -j*u + 1611 = 3*v, -119 = -u + v + 424. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 2146.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 + u**4\/4 - u**3\/3 + u**2 - 2*u + 58. Let v be (0 - 22\/4)*-2. Let x = v - 8. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxjxjjxsxsssj. What is prob of picking 3 x and 1 s?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 101, 215, 331, 449, 569, 691, 815?\n\"Answer: p**2 + 111*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598620195?\nAnswer: 3, 5, 23, 59, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*a = 1050, -20 = -2*a - 2*a. Let x = r - 135. Let c = x - 42. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(5*((-735)\/180)\/(-49))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 3. Let q(x) = x**2 - 1. Determine -f(g) - 3*q(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-6)\/(-30))\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010110000110 + -100?\nAnswer: -111010110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 508 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.2. Let l = -2.3 + 0.3. What is the closest to l in 3, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 0*k - 4*r, 0 = -2*r + 2. Solve 4*y = k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01619566443 rounded to six decimal places?\nAnswer: 0.016196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -40.6. Which is the nearest to -0.3? (a) 0.3 (b) f (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -23\/120*z**6 - 46*z**2 - 1\/8*z**4 + 0 + 1\/60*z**5 + 1\/6*z**3 - z. Find the second derivative of i(s) wrt s.\nAnswer: -138*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*k**3 + 1040*k**2 - 2900*k + 2000 = 0. What is k?\nAnswer: 10\/9, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1168822 divided by -3\nAnswer: 1168822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2916968 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 58*b**2 - 6*b + 6. Let j(x) = -58*x**2 + 5*x - 5. Calculate -6*j(a) - 5*y(a).\nAnswer: 58*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -27b4622?\nAnswer: 27b461b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Solve 3*o + 0*t + 3*t + 9 = 0, -t + v = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/7 + 2397*f**2\/7 + 1834515*f\/7 + 64919225 = 0. What is f?\nAnswer: -1127, -635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6078, 24949, 56550, 100887, 157966, 227793?\nAnswer: 310374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 3, m: 1, u: 1, z: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 47*x**2 + 2650*x + 124268. Give a(-46).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*u**3*y**5 + u**3*y + 2*u**3 - 32 wrt y?\nAnswer: -6680*u**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/6))**26)**(-4\/19) assuming a is positive.\nAnswer: a**(260\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yzmxmym.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(1 - (-4 - -3)). Solve 3*a = r + 13, a + x = 3*r + 2*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561*v**2 + 102969*v**2 - 2*v**3 + 79097*v**2 - 27857*v**2.\nAnswer: -2*v**3 + 155770*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 - 9.68. Let n = q + 0.38. Let z = 2\/81 + 229\/567. Which is the biggest value? (a) n (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 + k - 3. Let s(f) = -f**2 - 7*f + 5. Let r be s(-7). What is the units digit of a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, q: 7, m: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 98*k + 4. Let s be l(2). Let p = s - 120. Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74134884 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Let a be (-20)\/4*t\/(-5). Solve -a*g + 5 - 1 = -4*k, 5*k + 1 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**24\/a**(4\/3) assuming a is positive.\nAnswer: a**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*j + 914 = 460*i, 7*j - 35 = 5*i + 2*j - 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 6419 = -320. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.832 - -0.032. Do n and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -4, -0.28, 115\/2, -5, -156?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1044380357 - 1044380268.9999822. Let i = -176 + 88. Let p = i + k. What is p rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -138*z + 114. Let r be s(8). Find the common denominator of -76\/3 and ((-208)\/20 - -10) + (-751)\/r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37\/2*x - 35\/4*x**2 + 0 + 1\/4*x**3.\nAnswer: x*(x - 37)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 h when four letters picked without replacement from {m: 14, h: 5, r: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100010010101110010111010?\nAnswer: 100010010101110010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32) - 1000\/160.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose 0 = -p*g + 13 + 7. Let z = -54 + 64. Calculate the least common multiple of g and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 31. Calculate the remainder when 20 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -405244240 - -1?\nAnswer: -405244236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, 0*n - 272 = -n + 5*a. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140462.\nAnswer: 2, 7, 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 5*s - 2*s + (-8 + 14 - 5)*(s + 3*s - 5*s) to the form h + q*s and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1178691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 3. Suppose -4*t - 3 - 16 = -3*f, 5*t - 4*f + 23 = 0. Let s be g(t). Suppose -s = -3*i - 4. Solve -2 + 7 = -3*j + z, -i*z - 23 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21 + 240 - ((-8)\/(-2))\/2. What is the greatest common divisor of 93 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = 4*d, -3*z + 3*d = -0*z - 9. Solve -2*c = -z*u - 16, -c - 17 = 4*u - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) -3 (d) 1\/88 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, d: 4, o: 1, a: 1}. Give prob of picking 1 d and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.847 - 5.8. Let f = -1.047 + b. What is the nearest to -2 in f, -0.2, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2 + 2*d**3 - 8*d - 4*d**2 + 5*d**2 + 8*d to the form z*d**3 + o*d + a*d**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 1656.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*f + 16*f - 10*f)*(3*f - 3*f - f**2)*(-3 + 8 + 0)*(1 - 2 + 4) to s*f + z + l*f**2 + j*f**3 and give j.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2*n**7\/9 + 4*n**6\/45 - 91*n**5\/15 + 58*n**4\/9 + 16*n**3\/3 - 643*n. Let v(o) = 0. Calculate o.\nAnswer: -4, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231420 and 27090?\nAnswer: 29853180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-87)\/18 + 5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 81*q**2 + 14*q - 110. Let h(n) = -41*n**2 - 8*n + 55. Let w(o) = -4*d(o) - 7*h(o). Differentiate w(r) with respect to r.\nAnswer: -74*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 138 = y, 7*f = 5*y - 11*f + 20 - 640 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 m, and 1 w when four letters picked without replacement from mgpdwdcp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (276*d - 55 - 58 + 111)*(-15 + 8*d**3 + 5*d**3 - 7*d**3) in the form j*d**2 + q*d + b*d**3 + c*d**4 + k and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3*v**4 + 3*u**3*v - 3*u*v**4 - 3*u*v - 47 wrt v?\nAnswer: 12*u**3*v**2 - 36*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -249, -485, -721, -957, -1193, -1429?\n\"Answer: -236*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -53. Let i be (96\/42)\/4*7\/y. Solve 3*j + 4 = 5*r, -4*j + j = -i*r + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from rrmrgrmgmcmmg?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + z**3 + 2*z**5 - 3)*(2 + 4 - 1).\nAnswer: 10*z**5 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 78. Let d(i) = -3*i**2. Give w(d(u)).\nAnswer: -18*u**4 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + -4 + (-3189)\/45. Let y = 411\/5 + k. Factor -1\/3*f**2 + f + y.\nAnswer: -(f - 4)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 k when four letters picked without replacement from {x: 5, k: 4, d: 2, y: 1, f: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 + 14 = 0. Let f be i*2*1\/(-20). Which is the smallest value? (a) f (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 2. Suppose -3*k + 6 = z, 4*z + k + 2*k - 60 = 0. What is the lowest common multiple of v(0) and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2268 and 7861455?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 27*m + 118. Determine c(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/((8\/(-40)*5)\/(-2)*11)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiyi when four letters picked without replacement from {y: 2, i: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*j*u*w**2 - 104222*j*w**3 + 3*j - 28*u*w**3 - 166*u*w**2 wrt u?\nAnswer: 46*j*w**2 - 28*w**3 - 166*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735 divided by -7.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = 4*c + 2*f - 82, -3*f = -4*c - 296. Let i = -153 + 280. Let o = i + c. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -1.48 (b) 1\/14 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*(-12 - -26). Let l be 2 + 2 + -9 - j. What is the greatest common divisor of 330 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 5fbfbd?\nAnswer: 5fbfbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 6605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 980 and 350?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)\/c)**36*((c\/(((c**1\/c)\/c)\/c)*c)\/c)**(-4) assuming c is positive.\nAnswer: c**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = -3*d - 8*d - 160 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose -x*v = v. Solve 3 = -u - v*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 47. Let c = -15 - m. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 17*c - 46*c + 833 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011101000000000 (base 2) in base 14?\nAnswer: b6920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1206*f**2 + 195. Let j(u) = 2410*u**2 - 392. Let i(b) = -2*j(b) - 5*s(b). Differentiate i(z) wrt z.\nAnswer: 2420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from nntanttttnnnnttnatt?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 307 = 5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 2.4422.\nAnswer: 2.7422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, 5\/18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*r = 11304, -4*a - 3*r + 27922 = 5262. Does 38 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*t + 15, 3*t + 10 = 5*s + 6*t. Calculate the smallest common multiple of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2)\/(2\/2). Let t be (-4)\/4 + 15 + -3. What is the lowest common multiple of 2 and (t\/2*-2)\/r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/110565*-117)\/((-10)\/385).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 619770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/2)\/(6\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8. Suppose m = 2*x - 0*x - 2. Let f(a) = a - 5*a**2 - 2*a**2 + 6*a**2. Let u(p) = -2*p**2 + 5*p + 2. What is x*u(y) - 3*f(y)?\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*b**2 - 6*b + 79*b**2 + 7*b + 1426*b**3.\nAnswer: 1426*b**3 - 10*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3\/3 + 19*a**2\/2 - 7*a + 3. Let b be m(9). Solve -4*p = -b - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 41528.\nAnswer: 4111272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*w = 457*w - 1792. Solve -w = 3*a - 119 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(5\/7))\/(x*x**(-5\/3)*x) assuming x is positive.\nAnswer: x**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 - 0.17. Which is the closest to 2\/5? (a) y (b) 5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 33*l**3 - 14*l**3 - 2*l**2.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 46. Let p be 122\/18*1 - 6\/(-27). Let g = r - p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253954*f + 253959*f + 595 = -5*a, -8*f = -a + 988 for f.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 11, 0.1, -0.3, -5264 in increasing order.\nAnswer: -5264, -5, -0.3, 0.1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*1 + sqrt(684)*2 + sqrt(228)\/(sqrt(192) + sqrt(192) + sqrt(192)*-1)*2.\nAnswer: 27*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5718 by 2859.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(32) - (sqrt(84)\/sqrt(7))\/sqrt(4).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = 4*a, 0 = 6*n - 7*n + 5*a + 29. Suppose 11*q = 16*q - n*h + 125, -3*h = -5*q - 125. Which is greater: -180\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -79, -76, -71, -64?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01776 - 0.018. What is h rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(7\/5))\/i)\/((i*i*i*i*i**7)\/i) assuming i is positive.\nAnswer: i**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*w + 52240 + 23801 + 10474 = 1524*w for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -15\/2*i**2 - 6*i + 0 - 3\/2*i**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615 or -3.801?\nAnswer: -3.801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + c7?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8172, -8169, -8176, -8199, -8244, -8317, -8424, -8571?\n\"Answer: -g**3 + g**2 + 7*g - 8179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/50 (b) 1 (c) 0.1 (d) -70 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*316348\nAnswer: -126539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**4 - 3*g**2 - 3*g + 24. Let y(r) = -r**4 - r**2 - r. Let d(f) = -4*s(f) + 12*y(f). Find the first derivative of d(x) wrt x.\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/5 - 335632024*q\/5 - 14081106941792072\/5 = 0. What is q?\nAnswer: -83908006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123500546 (base 7) in base 14?\nAnswer: 1084696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. What is o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.012 + -0.0119965. What is t rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l - 83*l - 5*l**2 + 16*l.\nAnswer: -5*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43734.\nAnswer: 2, 3, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3 - 7)\/(-1))\/1. Let f = n - 8. Solve f*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46909301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 22*i - 26838. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 196*w**3 - 801*w**2 - 692*w + 172.\nAnswer: (w - 43)*(w + 2)**2*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + -3.5. What is the biggest value in c, 3, -0.2, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/12 and ((-55)\/1)\/((-462)\/(-84) + 36998\/(-4))?\nAnswer: 27732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004549056 rounded to five decimal places?\nAnswer: -0.00455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 - 5*r + 2*r**2 + 0 + 8*r. Let u(f) be the second derivative of -2\/3*f**3 - 1\/4*f**4 - f - 1\/2*f**2 + 0. Calculate 7*p(a) + 5*u(a).\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + g + 54, -g - 54 = -2*v + 4*g. Suppose 31*p - 20 = v*p. Suppose -2*j + 7 = p. Solve 3 - j = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from eegehhhehhghghje?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)\/((-14)\/(-7)). Which is the fourth smallest value? (a) n (b) -0.2 (c) 11 (d) 2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1757 - -1778. Solve -r + k = 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -154887*w - 20. Give d(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 808 * -29\nAnswer: -23432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(68)*2*-2)**2*-5.\nAnswer: -5516 - 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:30 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81712741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 958193848 to the power of 1\/2, to the nearest integer?\nAnswer: 30955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-3))\/(0 + (-4)\/108). Let m = -53 - h. Let l = -13 + m. Let u(o) = o**2 - 6*o - 1. Give u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - -55) + 1 + 0. Let c(z) = 13*z**2 - 2*z - 1. Let i be c(3). Suppose 5*f = h + i. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 42*g - 108. Give h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsennntncctcnsmnn. Give prob of sequence cc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16941725237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o + 47. Calculate d(23).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*1 - sqrt(240) - sqrt(240))\/sqrt(10))\/sqrt(12) + (1 + sqrt(2)*-2 - (sqrt(200) + 1))**2.\nAnswer: -sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -897, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t**1*t*t)\/t*t)))**(-30\/13)*((t*t**1)\/t)**(-27\/7) assuming t is positive.\nAnswer: t**(-1191\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 8*z = 3*j - 132, -5*z = 0. Let p be 187\/j + (-6)\/(-8). Suppose 7 + 5 = 2*g. Is g bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982110927.\nAnswer: 3, 7, 17, 43, 63977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 - 60354700*z\/11 - 455336226511250\/11.\nAnswer: -2*(z + 15088675)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*y**3 + 125*y**3 - 7 + 7 - 838*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgr when three letters picked without replacement from {z: 1, c: 2, r: 2, m: 8, j: 4, g: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.4, 41877.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 14 = -3*l, 4*b + 5*l + 40 = 5. Let s(y) = -27*y - 15. Let q be s(b). Does 5 divide (-12)\/30*(-1)\/(2\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/111 and 41\/27.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Suppose 4*d = o - 0. Suppose 0 = 52*h - 50*h + 10. Sort d, -3, h in increasing order.\nAnswer: h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4540224 at least as big as 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 + 5 = 0. Let l(b) = -6 - 10*b - 6*b + 19*b + 1. Let x be l(j). Do -5\/12 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171802?\nAnswer: 2, 101, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 47.\nAnswer: -6, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200120 - -1012020011?\nAnswer: 1021220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/51415 and -50\/3?\nAnswer: 154245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q - 10. Let w be f(2). What is the highest common factor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 19*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 1, z: 1, t: 4, c: 7}. Give prob of sequence actt.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*u, -5*u - 9 = 2*h - 0. Put h, -4, 3 in increasing order.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781.2 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 65*h - 64*h + y, -1 = -y. Let t(v) = 3*v - 1. Let u be t(2). Let x(c) = -c. Let b be x(u). Sort -1, h, b in descending order.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 72*h**4 - 1790*h**3 + 16652*h**2 - 30153*h - 48668.\nAnswer: -(h - 23)**3*(h - 4)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 23. Let z(d) be the second derivative of d**3\/6 - 7*d**2\/2 + 9*d. Let y(q) = -6*j(q) + 17*z(q). Calculate y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8 and (1077\/315 - (-2)\/(-6)) + -1.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose -5*i + 210 = -3*k - 120, -4*i = -k - 271. Suppose -t*r + r = -i. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1. Let a(f) = -f + 1. Give -5*a(c) - 4*i(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -601 + 600.9. Is o at most as big as -1526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 + 8*c + 71. Let b be z(-6). Let s = b - -159. Put -11, -4, 4, s in descending order.\nAnswer: 4, s, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.7806, -14098?\nAnswer: 0.7806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7828, 62249, 209970, 497641, 971912, 1679433, 2666854, 3980825?\n\"Answer: 7775*h**3 - 4*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(140)\/(sqrt(7) - (2*sqrt(63))\/sqrt(9)))\/(2*sqrt(1210)*-1*1).\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 31*n - 13. Let u be h(5). Suppose 134*i - u*i = -3144. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205552 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*f = 1182*f + 117 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30311?\nAnswer: 17, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16782003 to the power of 1\/2, to the nearest integer?\nAnswer: 4097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, i: 6, d: 5, z: 1, r: 5}. What is prob of sequence ddi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-23 + 5) - (5 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 997.4 + -1565.5. Let g = j + 568. Let q be -1 - ((-10)\/3 + 2). Which is the nearest to g? (a) -0.5 (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1153691\/360 - -16028\/5. Find the common denominator of a and 119\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12334635?\nAnswer: 3, 5, 274103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0731 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/12 + (-2)\/(-8) + (-1773)\/(-6698)*170.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -111*d**8\/56 + 95*d**4\/8 - 569*d**2. What is the second derivative of u(p) wrt p?\nAnswer: -13320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101382*b**4 - 12643529*b**2?\nAnswer: 2433168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (5 - -12) - 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 33 = 3*l, 0 = 5*l - t - 40 - 15. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-2*sqrt(76) - sqrt(76))\/sqrt(4))*-2)**2.\nAnswer: -96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 - r**2)*(1 - 4 + 2 + (3 - 3 + 1)*(-2 + 4 + 0) + 0 - 1 + 3 - 3 - 1 + 3)*(-5 + 5 - 13 + (2 + 0 - 3)*(-1 + 6 - 3) + 0 + 6 - 4).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z + 9. Let a be n(-3). Let o be (18\/10)\/(a\/(-15)). Let w be (-18)\/(-36) + (-1)\/2*o. Let m(b) = -b**3 - 2*b**2 + 4*b - 4. Calculate m(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001313591 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2455*(-19 + 9)\/(-50). Is b < -2462\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -388, -784, -1324, -2014, -2860?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(19*o - 17*o - 6 - 174).\nAnswer: 2*o**2 - 180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 175 (base 15) to base 11\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 2*o + 1. Let t(q) = 11*q**2 - 21*q - 5. Give -2*s(n) - t(n).\nAnswer: -9*n**2 + 17*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 253 = -22*w. Suppose 4*l - 24 = -2*s, -5*s - 4*l = -5*l - 16. Suppose 3*v + 4 = g, s*v + 0 = g - 4. Sort w, g, -2, 10.\nAnswer: w, -2, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17282 = 2486*r - 12550 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(0 - 5\/(-25))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 848704878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from ykuyuksxyxyxuuxkkyx.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 - 28.78. Let x = k + 26. Let u = x + 0.4. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174212 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 82) + 33 + 104.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 232?\nAnswer: 7888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12*w**4 + 0 + 4*w - 26\/3*w**3 - 50\/3*w**2 = 0.\nAnswer: -1, 0, 2\/9, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -11 - (-8 + (17 - 9)) - -54?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1\/10*m**5 - 5\/24*m**4 - m**3 - 1\/120*m**6 + 0*m + 0 + m**2. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16 and 79\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 897437 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(6\/8). Let v = 0.3 + -0.1. Let s be (-2)\/(-5) - 18\/20. Which is the closest to 0? (a) l (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 1129 - 1104 = -b, -43 = m - 5*b for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 + 454 = 8*j. Solve -11*p = -6*p + 5*f - 20, 5*p - 2*f = j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -212)\/((-33)\/(-159940)). Suppose 57*k + f = 43*k. What is k rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10253476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 + f - 2. Let u be y(3). Suppose -u = -3*s + 5. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/5 and 42\/18047977?\nAnswer: 90239885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113113234 (base 5) to base 12.\nAnswer: -2109a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 44289.32 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.001 - -0.009. Let p = 0.00922 - f. Round p to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 142 - 463 = 5*k, 0 = -2*l + 5*k + 236. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 + l**4 - 2*l**2 + 5*l**3 - 15*l**3)*(97*l + 60*l + 33*l).\nAnswer: 190*l**5 - 760*l**4 - 380*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3973373624887 - 3973377137248.000026. Let v = x + 3512372. Let p = v - 11. What is p rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 2. Let d be b(0). Suppose c - 25 = 2*k + k, 0 = 3*c + d*k - 31. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/75)\/(8\/36)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383879411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0911 - 0.3911. Sort -1\/3, u, -0.1, 7, -3 in increasing order.\nAnswer: -3, -1\/3, u, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390912 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 17*b = 305 - 9 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099 plus 119?\nAnswer: 119.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*g + 13 = -5*g, -4*g = z + 5. Suppose z = s - 6. Suppose 35 = 2*y - 4*a + 13, -3*y + a + s = 0. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 + l - 1. Let o be h(0). Let z = -1 - o. Solve i - 4*i - 15 = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -257.\nAnswer: 9\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*d - m, -d - 2*m + 3 = -7. Let t = 6 - -10. Suppose 0 = d*y - 7*y + t. What is the remainder when 45 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 3)\/(1\/2). Let s(k) = -k**2 - 7*k - 2. Let x be s(a). Is 2 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610039?\nAnswer: 41, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 213400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 2*g**3 - 3*g**2 + g - 8*g**3. What is m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 2*f, 2*b = -5*f + 67. Let g = b - 22. Suppose g*v - 24 = 44. What is the remainder when 30 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 155*v - 8057. Calculate the remainder when j(53) is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81632304 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wppzpwpppppptp. Give prob of sequence wzpp.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 4 = 2*i + 13*l, -2*i = -l. Let t = 0 - -1. Let k be (2 - 0)*t*i\/(-48). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(2\/5)))\/h**14*(h\/(h**3\/h))\/h**(-1\/17) assuming h is positive.\nAnswer: h**(-1151\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/13 - 10*w**3\/13 + 44*w**2\/13 + 232*w\/13 + 240\/13 = 0. Calculate w.\nAnswer: -6, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 + 418. Suppose 6*r - 1443 = k. Calculate the highest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, c: 4, g: 9, h: 5}. Give prob of sequence heh.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 - 129 = 8*d - 903. What is the smallest common multiple of d and 4108?\nAnswer: 45188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-3 - 60\/(-24))*18. Let o(c) = c**2 - 6*c + 2. Let t be o(5). Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-6)\/9). Let u be ((-3)\/(-6))\/(x\/(-4)). Suppose -93 - 57 = -u*q. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505822.\nAnswer: 2, 252911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j**2. Let y(q) = 23 - 2 - 9 + 36*q - 12. Give x(y(m)).\nAnswer: -12960*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 488*h - 595. Calculate the remainder when c(8) is divided by 1646.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4887.2 and 0.\nAnswer: -4887.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:05 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -1\/4, 3, -6, 9\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlp. What is prob of picking 2 l and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112988 <= 113161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 8*q**2 - q + 15. Let b(o) = o**2 - 20*o + 55. Let x be b(16). Does 5 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)\/sqrt(3)*6))\/((sqrt(2) - (sqrt(2) - ((sqrt(288) - -1*sqrt(288)) + sqrt(288) - sqrt(2))))*5).\nAnswer: sqrt(3)\/1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7705339?\nAnswer: 7705339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 78. Let g = -46 - y. Let x = 9 + -9. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36721643?\nAnswer: 7, 521, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*i + 20. Let r be 4\/12 + i\/(-3). Let o = r - 7. Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/42 + (-10)\/(-12). Let t(q) be the third derivative of 0 + 0*q**5 - 1\/30*q**6 + q**2 + 0*q + 0*q**4 - o*q**3. Differentiate t(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 24*g + 6. Give r(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5994611, -5994646, -5994705, -5994788, -5994895, -5995026?\nAnswer: -5995181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/817 (b) 4\/3 (c) 2.357 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 + 197*x**2\/2 + 3*x. Let w be q(0). Suppose -a + 4*i - w = -4*a, -4*i + 256 = 4*a. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -3 + 46 - -36.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 266737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + (-285)\/(-75).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4045058 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 21*w - 4350 = 0. What is the highest common factor of 50 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 357*b**2. Let w(u) = 4*u. Determine v(w(k)).\nAnswer: 5712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8*d = -20, -402*r - 312 = -398*r + 84*d for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25461 and 75775708.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*5\/25*10\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - ((173 - 196) + 22 + -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcb when three letters picked without replacement from {b: 5, r: 5, e: 3, f: 1, j: 3, c: 1}?\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 0. Let x(y) = y**3 + 4. Let p be x(v). What is the units digit of p + 5\/((-10)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 31, -35605 in descending order.\nAnswer: 31, -1, -35605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 9*y + 21. Let m be n(-6). Solve -h = 5*i - 9, -12 = -4*i + m*h + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 420\/40)*(-72)\/(-24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*v**3 + 102*a**3 - 358*v**3 wrt a?\nAnswer: -3*a**2*v**3 + 306*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 5*x**2 - x**2 + (3 - 3 - x)*(-2 + 2 - x) + (-2 + 2 + x)*(0*x - 3*x + 6*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2371, -2439, -2575, -2815, -3195, -3751, -4519, -5535?\nAnswer: -6835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 + 7*i + 2. Let v be f(7). Let l(d) = -41 - 5*d**v + 41. Let w(b) be the first derivative of -3*b**2\/2 + 6. Determine l(w(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f*f)\/((f*f**(-1\/18)\/f*f*f)\/f)*(f**(1\/2))**(-4) assuming f is positive.\nAnswer: f**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 + 84\/16. Let b be (-14)\/(-6) + (-2)\/m. Solve 9 = -5*i + 4*f, -b*f = -4*i - 11 - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u + u**2 - 12*u + 0 - 1. Let r(o) = -6*o**2 + o + 4. Let l(i) = -i**2 + 6*i + 50. Let m be l(11). Determine m*w(d) - r(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -161*p + 1475. Let g be v(9). Solve -3*m = 3*f + 9, -4*f + 24*m - 14 = g*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89053687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 26 = o + 4*h, -o + 10*h - 505 = o - 493 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 3, s: 2, f: 4, z: 1, v: 2, x: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/(-132)*(-7)\/(-2646)*-8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - -12*(-14)\/280\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {p: 4, w: 1, l: 3, e: 6, t: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 45 - 43 = 0. Let l be (-184)\/j - (-4)\/(-22). What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 75. Solve 3*o + l = 8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:10 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 4*c = 142, 328 = -5*r + c. Let l = r - -71. Sort 3, l, -3.\nAnswer: -3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.032, -4, 33, -3\/4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyy when three letters picked without replacement from yqkqkqkqkqy?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6162.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dttt when four letters picked without replacement from {k: 1, t: 5, q: 3, d: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4216100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.06, 53\/3, 65\/3, -5\/6, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*q - 0 + 22, -2*d = -q + 10. Sort 9, d, 3.\nAnswer: d, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10733*q + 2651052. Calculate v(247).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 23, 33?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2 - 5*z - 11. Let p(y) = 5*y**2 - 3*y - 5. Give -3*a(s) + 5*p(s).\nAnswer: -2*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-534615)\/(-90))\/29 - (-5)\/(-6). What is the highest common divisor of 340 and t?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 4. Let y be c(-6). Suppose -80 = -4*d - z + 116, -y*d - 5*z = -116. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/108*3\/(-35)*(-7)\/21.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpssh. Give prob of sequence phs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - j**3 + 4*j**2 - 2*j**2 + 4*j**2 - 4 - j. Calculate the remainder when 7 is divided by r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117212934 by 101571.\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-62) - (3 - 2). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2. Let w(a) = -847*a + 1. Calculate y(w(j)).\nAnswer: -2152227*j**2 + 5082*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 2*i**3 + 0*i**2 - i**2 - i + 5*i to z*i + u*i**3 + j*i**2 + g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41097 - 41073. Suppose -137 - 31 = -2*t. What is the smallest common multiple of t and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 8*o - 1. Let u(b) = -b**3 - 3*b**2 + 6*b + 3. Let s be u(-4). Let j be 14\/s - (-3)\/(-15). Let w be c(j). Solve -3*q + 5 = w*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1677.537 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = -4*c, a - 13 = -4*c + 8. Let z(n) = n**3 - n - 1. Let o be z(-1). Let w be (-2)\/o + (-6 - 1). Put a, w, 0 in increasing order.\nAnswer: w, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 + l - 20. Let p be v(8). Let o be (-121)\/605 + p\/10. Solve 0 = -k + 2*y - 2, -o*k + 29 = -0*y + 3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*m - 58*m - 668886 = 0. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/369750 and 73\/6960.\nAnswer: 2958000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -109, -102.\nAnswer: -109, -102, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 0.7634\nAnswer: -22.1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133 (base 8) in base 4?\nAnswer: -101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1006.3 + -2.\nAnswer: -1008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166.442 - -0.558. Let g = l - 169. Which is the nearest to -10\/11? (a) -1 (b) g (c) -1\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41597 (base 15) to base 14\nAnswer: -556bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 204*r + 239. Calculate t(-2).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 91476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 28. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*j - 1001*j = 12210 + 3330 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191461801 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 40*c**2 + 64*c.\nAnswer: 4*c*(c + 2)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:50 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2139 (base 11) to base 3\nAnswer: -10212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(0 - 1) - 4. Suppose 0 = -k*u + u + 12. Suppose 49 + 0 = h - 5*g, -u*h - 5*g = -147. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 340*o**2. Let n(d) = -11008*d**2 + 22016*d**2 - 11009*d**2. Calculate i(n(x)).\nAnswer: 340*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 63.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -237, -229, -205, -159, -85, 23, 171?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 20. Let q = -17 + j. Which is the closest to 0? (a) q (b) 1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 5)*(0 - 2*r + 0).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58411433?\nAnswer: 4789, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 + -30.72. Let r = -14 + -12. Let y = r - v. Put 1, y, 3 in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/24)\/((-1)\/5*40\/(-200)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 14911.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 108 - 476 = 0. Suppose -p = r - v, 5 = -3*p - 5*r + 273. Calculate the lowest common multiple of 60 and p.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 347 + -287 + 2*5 - -14*1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2580, -5161, -7742, -10323, -12904, -15485?\n\"Answer: -2581*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + 5 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001000011011010101?\nAnswer: -1001000011011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4400, -4377, -4354?\n\"Answer: 23*l - 4423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 1:23 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:55 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/21))**(3\/17) assuming k is positive.\nAnswer: k**(2\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m**3 - 3*m**2 - 4*m - 3. What is x(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*d - 65*d**2 + 0*d + 5*d + 2*d.\nAnswer: -65*d**2 + 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (2*(4 + (2*sqrt(153) + sqrt(153))\/sqrt(9)) - (sqrt(1088) - ((sqrt(1088) + 1)*2 - sqrt(1088)))**2*-3)).\nAnswer: 132 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 36 = -2*h, 2*h - 72 = -2*h - 2*v. Suppose 4*j - 125 = -5*k - h, j + 4*k = 13. What is the least common multiple of 12 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let f(z) = 4*z**2 - 49*z - 87. Let l(t) = t**2 - 14*t - 24. Let c(i) = -5*f(i) + 18*l(i). Give c(h) + 2*v(h).\nAnswer: -2*h**2 - 9*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.676 minus -0.03?\nAnswer: -13.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2090 + 4100. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23076 and 1377.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/2 + 12*r**2 + 11*r\/2 - 138 = 0.\nAnswer: -23, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 - z**4\/2 - z**3\/2 + 3*z**2\/2 - 4*z + 18. What is the second derivative of m(t) wrt t?\nAnswer: -6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 10:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.3 (b) -4 (c) 1.7 (d) 0.8 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 (base 5) in base 12?\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - o**3\/3 - o**2\/2 - 26*o. Suppose x - 2*x - 1 = 0. Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -713*i - 704. Is s(-20) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34968*i**2 - 5 - 2*i + 1 + 34997*i**2 to z + t*i**2 + d*i and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175493.\nAnswer: 175493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 136, 133, 116, 79?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i. Let g(y) = -30*y - 2. Determine g(d(j)).\nAnswer: 270*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -70 + 7 + (0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410519997?\nAnswer: 3, 269, 4226171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllgllgl. What is prob of picking 2 g and 1 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/8*4*4\/(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -3135184?\nAnswer: 3135192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.25908 - 1.251. Round j to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/73927 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 53. Let d = -26 - -52. Let r = p + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-4))\/(15\/40). Let v be (9\/f)\/((-3)\/4). Let b(w) = -6*w**2 - 4*w**v + 13*w**2 - 4*w**2. Let o(j) = 3*j. Determine o(b(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001100101001110 (base 2) to base 7.\nAnswer: -5424362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 1. Let n = 2 + 20. Let l be n - 2\/((-4)\/6). Let v(r) = 3*r + 11*r**2 + 3*r - l*r**2 + 4*r**2 + 6. Calculate -6*c(m) - v(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1096.6415433 to two dps.\nAnswer: -1096.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1*3*5.\nAnswer: 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*v + 3*g - 338, -5*g = 10. Suppose v + 18 = 12*j. Solve 0 = 4*w + 3*h - 20, -j*w + 3*w + 20 = -4*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + 16. Let r be f(0). Let q = 10 + -20. Let l(p) = 2*p**2 + 7*p - 2. Let b be l(q). Calculate the highest common divisor of b and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4492*z**3 + 13109*z?\nAnswer: -26952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34343 and 124.52.\nAnswer: -4276390.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:49 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -f + 3*c, 2*f + 592 = 4*f + 4*c. Let t = -291 + f. Solve -1 = -t*q + 14*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 2. Let u(a) = -14*a - 2 + 4*a + 4*a + 5*a. Give 5*u(d) + 6*x(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.2, -0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 + 3*x + 2. Let s(b) = b - 1. Let w(n) = -3*s(n) + z(n). Let h be w(-5). Let u = 23 + h. Solve -p - 2 = 2*p + j, 6 = -3*p - u*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 x when four letters picked without replacement from {i: 5, x: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*u**2 - 3*u - 2125 wrt u.\nAnswer: -502*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*j + 15 - 14 + 97*j - 18 to r*j + d and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Suppose 0 = -w*c + 4*c. Suppose c = -t - 0*t + 9. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*2\/(-84)*6?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 134, 168, 224, 308, 426, 584, 788?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 96797*h + 387220. What is v(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21172 and 16.\nAnswer: 84688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 43*u**2 - 37*u - 207. Let j be b(42). Let r(q) be the first derivative of 3*q - q**2 - j - 1\/3*q**3. Determine z so that r(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.482 - 0.022. Let c = 0.24 - 0.3. Let g = y + c. Sort -1, -4\/7, g in ascending order.\nAnswer: -1, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 484812045.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98095\/27 + 3634. Calculate the common denominator of -22\/15 and t.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381087906718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 7 + 8. Let m = -18 - -93. Suppose -i - y*a + m = 0, -235 = -4*i - 4*a + 5*a. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 156*l**2 + 92*l - 14342. Calculate o(156).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 54 = -c + m, -106 = -3*c - m. Let p = 2 - -7. What is the highest common factor of c and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 22. Let v = m - 15. Let z(o) = o**2 - 2*o. Let y be z(3). Solve v*b = -b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m + 58. Determine i(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828896 less than -504792?\nAnswer: -2333688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 3. Let d(a) = -166*a**2 + 5*a + 8. Let y(t) = 106*t**2 - 3*t - 5. Let h(c) = 5*d(c) + 8*y(c). Give h(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let j(f) = 6*f. Let a(p) = -4*j(p) + 27*m(p). Let o be a(1). Solve -o*u - 5*q + 3 = -20, 4*u + 4*q - 20 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24875*p + 1 + 0 - 24840*p - 1. Let c(b) = 10*b. Let i(l) = 2*l. Let y(v) = -3*c(v) + 16*i(v). What is y(z(g))?\nAnswer: 70*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 2*b**3 - 3*b**2\/5 + 32*b\/5 - 4.\nAnswer: (b - 10)*(b - 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = -2*z + 35, 3*z + 3 = -3*v - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 0 + sqrt(1216))*-5 + (sqrt(2736)*-2 + 2 - sqrt(2736) - sqrt(2736)))**2 + 4*(-2 + -1 + sqrt(931))**2*-2.\nAnswer: -176*sqrt(19) + 303780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4979\/9966 - 2\/4983. What is the closest to t in -6, -0.3, -3.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101 + 1?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-70)\/(-130)) - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 11*b**4\/24 - b**3\/6 + 65*b**2 - 11*b + 2. Let g(d) = -127*d**2. Determine r(g(o)).\nAnswer: -1397*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*u + 144, -2*f - 12063*u + 12130*u = f - 361 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4695 less than 615884?\nAnswer: 620579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 19 = 7*b - 18. What is the nearest to -19 in -2, 2\/3, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41313\/94 - (0 - 5\/2).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3752, -7454, -11156, -14858, -18560?\n\"Answer: -3702*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:27 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 89130, 4, 22 in descending order.\nAnswer: 89130, 22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 12431.\nAnswer: 13\/12431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 64 = 3*d. Suppose 0*u - d = -u. Suppose 0 = -2*y - 2, 3*l + y = -y + u. List 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 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 40.2, 5173?\nAnswer: 5173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2*w + 3. Let k be a(5). Let f = k - -35. Calculate the remainder when 9 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*s**4 + 367*s**4 - 134*s**4 + 2*s**4 + 0*s**4 - 3*s**4 + (5 - s - 5)*(4*s**3 - 2*s**3 + 0*s**3))*(-3*s + s + 4*s).\nAnswer: 748*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2 + 2. Suppose -q + 4*p = 11, -2*q + 50 = -0*q + 10*p. Suppose 9 = 4*z - 7. Let j(i) = -3 - 5*i**2 - z*i**2 - 4*i**2. Give q*j(r) + 7*b(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 214, -4 in ascending order.\nAnswer: -4, -1, -0.5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 + 459.4. What is the second smallest value in a, -0.5, 5, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (7 + -3 - 0) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 614 = o, -320 = -x + 2*o + 297. Suppose x = 2*j + 3*j. Calculate the remainder when j is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9228 is divided by 2994?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82651 (base 12) in base 13?\nAnswer: -5c668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 1. Let n = d - -3.8. Let j = 1 + -1.1. Which is the second smallest value? (a) j (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4 + 3*g**3 + 9.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 111. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729228.\nAnswer: 2, 19, 61, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 8) to base 13\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 155\/106?\nAnswer: 155\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/(g*g**(-7)*g))\/((g**6*g)\/g**(2\/5))*(g**5\/g**(-3\/8))\/((g*g\/g**(-1\/3))\/(g**0*g)) assuming g is positive.\nAnswer: g**(1811\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11723 + 2*k - 5865 - 5859. Let b(q) = 3*q - 1. Determine 2*b(h) - 5*g(h).\nAnswer: -4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 + 168. Suppose -y = -4*x + x + 6, k*y - 27 = -5*x. What is the biggest value in -30, y, 2\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-36) - 35\/(-6). Suppose c*o - 109 - 35 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -16. Let j be (-6 - (2 + -3)) + 8. Solve 0 = j*l + 3*b - 3, -b - 5 = 2*l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60880656749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3. Let k(m) = m - 4*m - 13*m**3 - 6*m**3 + 13*m**3 + m**2. Determine -5*b(a) - k(a).\nAnswer: a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 1, f: 2, n: 3, k: 1, s: 1}. Give prob of picking 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 4\/29 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(-4*x**3 + 25*x**3 - 2*x**3 + 56*x**3) to n*x**3 + v*x + h*x**2 + k and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 16) in base 5?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227454 is divided by 7352.\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-672)\/21*50\/20\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 472?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(160)*-4 + sqrt(10))\/(5*(sqrt(20) + sqrt(5)))*5*-2.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8930764 divided by -12?\nAnswer: 2232691\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8079*l - 23891?\nAnswer: 8079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57929050669\/24180 + -11978714\/5. Let n = 65\/93 + c. Let i = n + -1\/39. Is i at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44046*o**6 + 6*o**2 - 224*o + 2 wrt o.\nAnswer: 5285520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvbcbvvbvbv. What is prob of sequence cvb?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4338545 and 1160?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = -7. Solve 6 = -v*g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 26*c + 8. What is the hundreds digit of w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*z, -5*p - 5*z + 4*z = -15. Suppose -4*f = 4, 0 = -p*r + f + 4*f + 25. Solve 2*d - r = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100012?\nAnswer: 100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1364\/10 + (-2)\/5. Let i = l - 65. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 - 207. List the prime factors of c.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 38*c = 3*w + 25, -4*w - 874 + 2450 = 397*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 518 times -0.026\nAnswer: -13.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 214.\nAnswer: 2, 3, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:38 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.025 from -1.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13997 + -8?\nAnswer: -139a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c + n + 1036, 5*n - 1024 = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -z + 8*n - 274, -n - 557 = 2*z. Let q = z - -486. Calculate the greatest common divisor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c93d64 (base 15) to base 6\nAnswer: -541205421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194006\/15 - 760\/(-2850) and 7?\nAnswer: 90538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/35977?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 32*k**2 + 2*k**3 + 8*k + 2*k**3 - 11*k - 192 = 0.\nAnswer: -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*m + 72*m + 380*m in the form x*m + l and give x.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1714 - 38726?\nAnswer: -37012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -388222.31 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254126571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 - -275. Let k = v - 135.0000632. Round k to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33068, -32907, -32740, -32567, -32388?\nAnswer: -32203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 7. Let p be q(5). Suppose p*d - 452 = 11*d. Suppose 0 = -7*k - 86 + d. Calculate the remainder when 38 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-61)\/(-15) - 4). Let d = -21 - 3. Let t = d + m. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 16. Suppose 5*y + 0*h = 5*h + 1170, -5*y + t*h + 1174 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-9) + (8\/(-10))\/((-2162)\/18975)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4413204 (base 8) to base 4.\nAnswer: -10201122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 5 = 3*y. Let m(s) be the first derivative of -s**3 + 48. What is m(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 464159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427288.\nAnswer: 2, 3, 19, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -435*r**3*t**2 - 486*t**2 wrt r?\nAnswer: -1305*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*x + 964 = -8936 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114822731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*s - 943*s - 19*s - 6 - 226*s.\nAnswer: -1269*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/209*1805\/(-570)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -c - 2127 + 2133, -12 = -2*c + 3*b for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.063 - -9.\nAnswer: -40.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, u: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 2, t: 6, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + 6*c. Let m be l(5). Suppose -m*a = -a - 44. What is the remainder when 30 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 5*p**2 + 15*p**2 - 3*p**2 - 11*p**2 - 508*p**4 wrt p?\nAnswer: -12192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.448807 rounded to 1 dp?\nAnswer: -49.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 - u**3\/3 + 23*u - 26. What is the third derivative of z(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -24731.5856\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 279 = w. Let c = w + 180. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -15, 0, -2, 88\/5, -0.02, 2, 2\/3?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = -7. What are the prime factors of (a\/(-18))\/((-4)\/(-486))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose 3*t + 15 = 0, 0*t - 2*t = -5*y. Let j(f) = -2*f. Let u(v) = -v**2 - 11*v. Let z(s) = y*u(s) + 11*j(s). What is a(z(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**5 - 513*d**4 + 129*d**3.\nAnswer: -3*d**3*(d + 43)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11058 take away -0.2?\nAnswer: 0.31058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 1 - (35 - 26)) + -9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 7)\/(-42) + (-34)\/(-12). Let v be 1 + r + (-2)\/2. Suppose h - 5 = -l, h - 5 = 3*l - l. Solve 0 = -2*p - 0*u + u + h, -24 = -v*p - 4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6459.4636 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 42*t - 10*t + 190*t.\nAnswer: 222*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 22*m**2 - 102 - 112 - 93 + 370.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 360a35 + 4?\nAnswer: 360a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose c = k + 3*z - 89, -3*k - 445 = -8*k - 2*z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 3*z**5 - 5*z**5 - z**5 + z**3 - z**3 - z**5 - 4*z**5 + 4*z**5 + 28*z**5 - 80*z + 80*z + (z**4 + 0*z**4 - 3*z**4)*(z - 3*z + 4*z).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 29 = 2*s, 8 = 2*s + 5*p + 15 + 4 - 46 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 226*-10.6\nAnswer: -2395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2. Let a(h) be the first derivative of -8*h**3 + 27. Give a(p(w)).\nAnswer: -384*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*q + 49*q - 25*q + 15 in the form a*q + w and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50162493 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3850, 16108, 36556, 65194, 102022, 147040?\nAnswer: 200248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491300 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-38)*3382\/712. Solve -9\/2*p**3 + 0 + 6*p - 3*p**4 + d*p**5 + 6*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 - -13.9. Let m = 25 - r. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 - 170*f - 24. Let x be o(-24). Suppose -x*u + 30*u = 54. What is the remainder when 88 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45819, -183251, -412299, -732957, -1145219, -1649079, -2244531?\n\"Answer: p**3 - 45814*p**2 + 3*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86.064 - -0.064. Let s = z + 85.1. Which is the biggest value? (a) -0.4 (b) s (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38828 + -2?\nAnswer: -38831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1665262403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142717922 to the nearest integer?\nAnswer: 11946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let g(m) = 1 + x - 2*m**2 + m**2. Calculate the remainder when 7 is divided by g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197\/(139279\/(-606))*-4*(-21)\/96\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 3:03 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 40839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*k - 439*k + 247*k - 25*k.\nAnswer: -690*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggngnnggnhggnghjng. What is prob of sequence hjh?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*g + 342 - 54 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*q - 61*q - 5*g + 7, -2*q + 17 = 3*g. Solve -q*p + 7 = -p + 5*f, -5*f + 10 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 75. Let k be q(-5). What is the hundreds digit of 2\/10 - 2*(-5095)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1015, 8170, 27593, 65416, 127771, 220790, 350605?\n\"Answer: 1022*s**3 + 2*s**2 - 5*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2254 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -86. Let h(c) = -c**3 - 16*c**2 - 4*c - 6. Let u be h(i). Is (-58522)\/(-26) - 28\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52.937 from -0.43.\nAnswer: 52.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3590, 7183, 10776, 14369, 17962, 21555?\n\"Answer: 3593*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70805054 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295619492?\nAnswer: 2, 7, 37, 433, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a**(1\/3)*a**(2\/5)*a\/(a*a\/(a\/((a\/a**(-3))\/a))*a*a) assuming a is positive.\nAnswer: a**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nncppffffpfvfn. What is prob of picking 1 c and 2 f?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 9 + 15 + (1 - 2 + 3)*(2 + 4 - 7))*(3 + 4*i - 3) to q + f*i and give f.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-840)\/(-21))\/4960?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/9 + 4540*i**3\/9 + 1271374*i**2\/9 + 1266836*i\/9 = 0?\nAnswer: -1943, -326, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.05 (c) 0.06 (d) 3 (e) 0.04 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2728*f - 643*f + 50*f - 2236*f.\nAnswer: -5557*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 151 = -34*b + 31*b, -3*b + 4*n = -146. What is the remainder when (0 - -2)*374\/4 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, and 1 i when three letters picked without replacement from {q: 3, l: 3, i: 2, g: 1, a: 3, p: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/24 + 2\/(-4). Let z(a) = -30*a - 1048. Let h be z(-35). Solve 2*l - 3*m + u = 0, 4 - 1 = h*l + m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995493 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 21. Let g = 2 + 9. Let b be z(g). What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-24)\/(-8)*(-1)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 22 = -2*m, -2*u - 1 - 5 = -2*m. Let j be -2*u\/(294\/9). Sort j, 0.9, 1\/2 in ascending order.\nAnswer: j, 1\/2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8334\/179333 or 0?\nAnswer: -8334\/179333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/9 - 17*i**3\/3 + 53*i**2\/9 + 17*i\/3 - 52\/9 = 0 for i.\nAnswer: -52, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 37*f - 1275. Determine v(22).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33686.986 - -33633. Let a = 0.014 - r. Let l = -8 + a. Which is greater: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 2\/13, 0, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9*h**2\/2 + 19*h + 20. Let w be d(-11). Suppose 2*t = 7*t + 2*z - 556, 3*z = t - w. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r = 57*r - 25, -5*x + 5 = -r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -3. Which is the smallest value? (a) 4\/3 (b) v (c) 1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58184 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -375786456 divided by -15657769?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 46 = -2*a, 2*v + 57 = -v - a. Let n(m) = -6*m - 49. What is the tens digit of n(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198 and -10931379.\nAnswer: -10931181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -11825687, 3\/8 in decreasing order.\nAnswer: 3\/8, -11, -11825687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from gppgpppppgppppp?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*a + 1749*a - 585*a - 580*a - 27*a**2.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -91.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -20762 at least -20764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 + 16*g**2 - 8*g + 19. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2505*g**3*n**2 + 4*g**3*n + 99*g**3 + 13*g**2 - 2*g*n - 15*g + 475*n**5 wrt n.\nAnswer: -5010*g**3 + 9500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + v - 32 = -38, -8 = 4*a - 4*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/39, -4\/13, -23, 8\/9, -2\/17?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 9*w - 11496 + 4032. Calculate the remainder when 934 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244\/93409 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 83 = -k - 157, 0 = -2*k + 5*g - 131 + 11 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g*g**(3\/8))**31)**(-42) assuming g is positive.\nAnswer: g**(-12369\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17949420721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from mmmmkmmoymmogmmgmm.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/5, -13, 273, 1\/2, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*w**3 - 284*w**3 + 3*w + 356*w**3 - 260*w**2 wrt w.\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, -10\/13, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794317730.9 + -4.55?\nAnswer: 1794317726.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2191\/5 or -438?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*32*1\/2. Solve 4*g + k = -m, 4*g - m + 8 = m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132031311 (base 4) in base 6?\nAnswer: 2352553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -14*i - 4*y, -3*i + 12 = -2297*y + 2293*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 11) to base 16\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10 + n - 10. Let l(t) be the third derivative of -t**4\/3 + 36*t**2. Give s(l(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.03638 times 0.5?\nAnswer: 167.51819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -9. Let j = r - 4. Suppose j*f - 24 - 12 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let q(a) = -239313*a + 971*a**2 + 239313*a. Calculate q(t(w)).\nAnswer: 3884*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -105, -101, -97, -93?\n\"Answer: 4*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 35 = 3*q, 0 = -7*o + 2*o - 5*q - 50. Let j be o*-3*8\/(-30). What is the units digit of (-63)\/j + (-3)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 10*t + 4. What is v(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15*k + 100. What is o(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2548\/(-1820) + (-17)\/(-5). Solve 0 = i*f - 266 + 270 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:33 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1311*v**4 - 1820*v**3 - v**2 - 215807808*v.\nAnswer: -31464*v - 10920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(12)\/sqrt(3))\/sqrt(2))*-4*-6 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 136, 332, 592, 916?\n\"Answer: 32*s**2 + 36*s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 2*x - 3*x = -6*h - 4*x + 42, x = -3*x - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -186. Let i = q - -725. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (12 - (-7 + 37)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*j = -2*c + 29, 0 = -5*j + 25. Solve -4*f + 9 + c = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 3*a**7\/70 - a**6\/60 + 5*a**4\/24 - 3*a**3\/2 - 68*a**2. Find the second derivative of s(q) wrt q.\nAnswer: 108*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5597\/4 - -1413. What is the common denominator of 347\/(-99) - 12\/54 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = 3*m + 441 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27.9*4\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13711613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1*x*x*x)\/x**(-2\/17)*x**(-3\/8)\/(x**5*x) assuming x is positive.\nAnswer: x**(-171\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:41 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = 2*p. Let g be 2 - (p - -4) - -2. Suppose 0 = -6*j + 4*j - g. Put 2, -4, j in increasing order.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*s - 5*s. Suppose s = 4*x - 4*v, -3*x - v = -4 - 4. Solve -x*i - 3 = -7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 26*f = 25*f + 20, -15*z - 75 = -2*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11553*x - 3673848. Give j(318).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3\/3 + 4*w**2 + 10*w - 21. Let n be u(8). Let f be 5*1\/(n\/8) - 2. Solve -6*p = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1100) - sqrt(1100)*-2))**2 - 2*(-4 + sqrt(891))**2.\nAnswer: 144*sqrt(11) + 354586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*18 - 3. Let y = -1 + o. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23852 (base 9) in base 12?\nAnswer: 9318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 282 + -6 + (-3 - -1). Suppose -5*i + 16 = -9. Suppose s - 34 = i*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45127, -90258, -135389, -180520, -225651?\nAnswer: -270782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 83.1471*-0.3\nAnswer: -24.94413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 + g**4 + (g**2 - 3*g**2 + 7*g**2)*(0 - g**2 + 0) + g**2 - 6*g**4 + 3090 - 3090)*(1 - 1 + 1).\nAnswer: -10*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1021\/455 + 4\/91. Put -2, 2, -1\/4, x, 0.2 in decreasing order.\nAnswer: 2, 0.2, -1\/4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fggfwgg. Give prob of picking 1 f and 3 g.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let t(d) = -d - 3. Let p(w) = 5*w + 16. Let u be 2 + 1 + -2 + 10. Determine u*t(s) + y*p(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237369, 237384, 237399, 237414, 237429, 237444?\nAnswer: 237459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9305 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041736 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 + -156. Which is smaller: 0.3 or p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -4230311?\nAnswer: 4230315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 997, 995, 995, 997, 1001, 1007?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/4)\/(2\/(-244)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*y + 543*y + 82*y - 34*y)*(y + 0*y - 2*y).\nAnswer: -716*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**9*o**(2\/3)*(o**(-1\/9))**(1\/3) assuming o is positive.\nAnswer: o**(287\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 - 37 - 42 + 5*p**3 - 5*p + 3*p to the form s*p**3 + m*p + j*p**2 + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.31 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 36*t**2 + 6*t - 5. List the prime factors of o(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 - (15 - (-2 - -4)) - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*x. Let q = 0 - x. Suppose -4*l = 2*m - 44, 0 = 5*l - 4*m - 39 - 16. Solve -p + 3*p = q, -4*p - l = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x. Let k(s) = 127*s - 2. What is -k(z) - 3*v(z)?\nAnswer: -97*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - (-28)\/(-12). Let j be ((-48)\/(-28))\/(p\/(-7)). Let f be j - (3 - (-3 - -3)). Solve -f*v = -5*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11907747 and 1665.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5*j)\/j)\/j*j**1\/j*(j*j**(-1)*j)**(-11\/3))\/(j**(2\/39)*j**10\/j)**(3\/2) assuming j is positive.\nAnswer: j**(-1033\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i + 42. Calculate u(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 0)\/(13\/(14 - 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*((r\/(r*r**0))\/r)\/r)\/r*r))\/r*r**(1\/5)\/r*((r\/r**(2\/7)*r)\/r)**34 assuming r is positive.\nAnswer: r**(822\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 966 = 2*b. Suppose -2*k - y + 136 = 0, b = 2*k + 3*k - 2*y. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -b?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a**3 - a**2 - 2*a - 2. Let q be b(-2). Let y be (-7)\/(-2)*q\/13. Suppose -o + y = 1. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - (-70)\/25. Let g(w) = w + w + f*w - 4*w. Let x(j) = 2*j**2 - 14*j. Let u(z) = -2*z. Let b(k) = 35*u(k) - 5*x(k). Give b(g(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/3 - (680\/(-3) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o - 58*o + 72 = 0. Let i(d) = d. Let u be i(-5). Let h = o + u. Solve 4*r + 17 = -2*b + h, -3*b - 8 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 0.1 (b) -4 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/342287933?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4698, -1333, 7804, 25599, 54938?\nAnswer: 98707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953125*f**5\/6 - 4660109375*f**4\/6 - 131164320125*f**3\/3 - 3147048937*f**2\/3 - 50348011*f\/6 - 134255\/6 = 0 for f.\nAnswer: -55, -1\/125, 2441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/716426357 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7384*t - 5098 + 184338 + 204728 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-858)*99\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/3))**(-18)\/(t**7\/(t**(1\/4)\/t)) assuming t is positive.\nAnswer: t**(-151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2 = -4*r + 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1630 - 1420. What is the highest common factor of 378 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 0, -p - 4*g = -3 - 3. Suppose -5*t = -3*y - 904, -p*t + t = 4*y - 167. What are the prime factors of t?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 17*n - 20. Calculate p(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5370*i + 8874*i - 4828*i)*(-i + 5 - 5).\nAnswer: 1324*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412 and 12?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.616973 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524, -1114, -1696, -2270, -2836, -3394?\nAnswer: -3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 122. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/5 - 37724*s**3\/5 + 36290746*s**2 - 6692522880*s = 0.\nAnswer: 0, 192, 9335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w - 2 + 6*w + 2 - 56*w.\nAnswer: -105*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w. Let i(d) = 4579141*d. What is c(i(x))?\nAnswer: -13737423*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -231995*q**3 + q**2 - q + 3. Let o be a(-6). Let t = -23151256481\/462 + o. Let y = -46\/77 - t. Calculate the common denominator of -15\/4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/(-150))\/(-1))\/(-3*11\/(-54)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -10*i + 2*z, -2*i - 208*z + 213*z + 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 16*k**2 - 33*k + 20. Let b be n(-7). Solve 8 = b*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*z - 15, 0*f + 5*f + z - 24 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31348261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*t - 4*d - 52, -t + 16 = -2*d. What is the units digit of 2*1\/t*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 1, p: 2, f: 2, g: 1}. What is prob of picking 1 u and 3 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 100 + 556. Let u = w - 80. Which is smaller: 1\/2 or u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-74))\/((-2646)\/(-3034962)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-5)\/(30\/9)). Let u be (x + -1)\/((-2)\/(-12)). What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143155 (base 6) to base 4.\nAnswer: -3111233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.99 - 19. Which is the second smallest value? (a) -2 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y + 1. Suppose 0 = -5*f - 2*z + 5, -265*f + 266*f = -z + 4. Let d(w) = -32*w**2 + 4*w + 3. What is f*d(t) + 4*q(t)?\nAnswer: 28*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -6 - ((-1 - -2) + (6 - 17))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20506, 2 in descending order.\nAnswer: 20506, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*l + l = -3*l + 21, 3*a + 21 = -163*l + 169*l for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 - -1364. Let j = -865 + f. What is the greatest common divisor of j and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 24*h**2 + 257*h + 1651. Determine x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (10 - (10 + -9)) + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {d: 2, a: 6, x: 3, t: 1, h: 1, b: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(18*l + 3*l + 7*l)*(4 + 1 - 3).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -535*s**2 - 47*s - 5. Let h(n) = 267*n**2 + 20*n + 2. Let p(t) = 5*h(t) + 2*r(t). What is the second derivative of p(o) wrt o?\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k + 2*t + 6, -4*k - 6 = 2*t. Suppose -47*o + 222 = -60. Solve 2*z + 5*h = o*z + 7, -5*z + 5*h - 10 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z. Let t be (z - -1)*(1 + 0). Let d(g) be the second derivative of -g**3\/6 - g**2\/2 - 4*g. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.1, -3, 2\/13, -1\/432, -1\/8?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 5. Let n(m) = m**2 + 7*m + 4. Let r be n(-6). Let z be -2*(-4)\/16*r. Let p be (-3 - z)\/(12\/(-24)). Give k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 15, -1, 3\/4, -4\/5, -2.7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from ahdsaii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -389042, -777994, -1166946, -1555898?\n\"Answer: -388952*r - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30900, 31087, 31274, 31461, 31648?\n\"Answer: 187*n + 30713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -93*s**3 - 844*s - 1237*s**3 - 1514*s**2 - 264*s**4 + 434*s**3 + 74*s**4 - 144 - 12*s**5 = 0.\nAnswer: -9, -4, -2, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 1551.112.\nAnswer: -17062.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63200 - -1747?\nAnswer: 65047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364631?\nAnswer: 163, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 183, -4, -6 in decreasing order.\nAnswer: 183, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52, -26, 0.4?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 37. What is z(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1449 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:31 AM?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 151 = -3*j, -10 - 88 = -2*j - 4*s. Suppose c = -2*b - 50 - 56, 2*c = b + j. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -21*b. Let j(n) be the second derivative of -n**6\/720 - 2*n**4\/3 - 27*n. Let u(g) be the third derivative of j(g). Calculate u(t(c)).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-304865757093374)\/22596 + (-7)\/(-28). Let y = n + 13492023235. Let x = 1\/3766 - y. Find the common denominator of 79\/18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 19743*m - 356346.\nAnswer: 3*(m - 18)*(m + 6599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/13168 and -7\/1698672?\nAnswer: 1698672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2360 and 2362 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25789 + 25788.9940188. Round b to five decimal places.\nAnswer: -0.00598","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*f + 4*f + 25374, -2*v + 16905 = 3*f. Is (v\/(-4))\/((-63)\/84) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-45) + (-186)\/(-10). Solve 3*s + 3*a + 3 = s, s = 5*a + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = -0*n - n, 0 = 3*n + 5*i + 2. What are the prime factors of (370\/(-25))\/(n - 1024\/170)?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25*k**2 + 10 + 14 + 28 - 2. Let g(y) = -y**2 - 1. Let j(v) = 30*g(v) + z(v). Find c, given that j(c) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let z be (-43 + 3)\/(0 + i). 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: Convert -1aa21a (base 11) to base 4.\nAnswer: -1032120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -2. Let n be ((-3)\/h)\/((-6)\/4). Let t be (-3)\/(-27)*(0 - 6). Which is the closest to -2\/7? (a) n (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3718*26*(-4)\/8*2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 9. Suppose j*a = -a + 8. Solve 3*v + 4 = -a*l, -2*v - 12 = -4*v - 5*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 8*n**3 + 10*n**2 + 4*n.\nAnswer: 2*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) - 1*-1. Let u = -35 + 37. Suppose 3*f = u*f - 3, 0 = -4*l - 2*f + 10. Put 0, l, p, 2 in increasing order.\nAnswer: 0, 2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104 + 652 - 532 = 36*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710027 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (3 + 2 - 1). Find the second derivative of 12*p**v - 2125*p**2 + 18*p + 2125*p**2 wrt p.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 5*g**2 + 12*g - 5. Let x be q(4). Suppose 0 = b + b - 20. Let h = x + b. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.137 - 0.063. Which is the third biggest value? (a) -2\/9 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/(-154))\/(3\/(81\/(-3))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10*-0.11\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18892, 19113, 19336, 19561, 19788, 20017?\nAnswer: 20248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 2*l. Let g(t) = 57*t**2 - 8*t + 1. What is g(i) + 5*x(i)?\nAnswer: 52*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)*y*y*y*y**(-2\/15)\/y)**(-2\/27)\/((y**(-2))**(-28)\/((y*y**(-8)*y)\/(y*y\/((y*y**1)\/y)))) assuming y is positive.\nAnswer: y**(-25576\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 15 = 0. Let d = -17 + 15. Sort z, -3, d in increasing order.\nAnswer: -3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -464, -513, -474?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*a - 3099 - 3099 = -2*n - 6318, 0 = -n - 4 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 209.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -1630, -3665, -6516, -10183, -14666?\nAnswer: -19965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 + 3*w - 8. Let y be v(-7). Let u be (-7)\/(-2) - (-10)\/y. Let i(l) = -l**3 + 4*l**2 - 1. Give i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*z + 151715 - 151715 to the form t + o*z and give o.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ngggggggggggggg?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58)\/(-203) + 960\/(-273). Which is the nearest to 0? (a) -5 (b) 1 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65805940 divided by 4\nAnswer: 16451485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23276)\/(-748) + 2\/(-17). Suppose q*w - 7775 = 6*w. List the prime factors of w.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47841976717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 9*p**2 - 10*p - 8. Calculate s(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 364.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**2 - 17*u. Let p(y) = 7*y**2 + 6*y. Let l = -231 + 248. What is l*p(k) + 6*g(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175245 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3162 and 6018.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 79*l**2 - 4875*l - 1501. What is z(62)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2495*x + 2484*x + 2495*x - 7474*x - 5*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174*(3\/(315\/5)*-6)\/((-336)\/392).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**2 + 6*i + 1\/3*i**3 + 0. Let q be y(6). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 30064752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 14*x + 59. Let p be w(-5). Calculate the greatest common divisor of p and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314 divided by -9.\nAnswer: -314\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 63 - 3 - 435*a + (-a + 2*a - 3*a)*(2 - 2 + 1) as c + g*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26313 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002212101 + -1011220?\nAnswer: 2001200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -420, -866, -1334, -1836, -2384?\n\"Answer: -2*n**3 + n**2 - 435*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 60*v - 745. What is n(-15)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x - 11. Let s = -1364 + 1428. What is the remainder when q(5) is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhyxyypxhphh. Give prob of sequence hxpx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4011313.\nAnswer: 4011313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 682794 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4975 (base 12) to base 11.\nAnswer: -6263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -740 - -496873\nAnswer: 496133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1306676 (base 9) to base 10.\nAnswer: -713517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(-4 - 5 + 2) - 1 - 2 + 2)*(-3*z - 3*z + 4*z)*(3 - 5 - 2) to the form s*z + y and give s.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.03 (b) -13 (c) 0 (d) 21\/5 (e) -1\/42 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -648, -650, -654, -660, -668, -678, -690?\n\"Answer: -x**2 + x - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 339477*p - 169743*p + 4*p**2 + 17*p**2 - 169734*p.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58502 (base 12) to base 9.\nAnswer: 200152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40084 - 40084 - 347*a**5 + 3*a**5 - a**5 - 4*a**5 + (-5 + a + 5)*(0*a**4 + 0*a**4 + a**4) + 0*a**5 + a**5 + 2*a**5.\nAnswer: -345*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3720?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19)*-3)**2 - sqrt(304)*-5)*5.\nAnswer: 100*sqrt(19) + 3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-5904)\/360)\/(-41))\/((-58)\/(-60) - 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26 - 2)*4\/(-8). Let b = -5 - u. Suppose -3*p - 3*v = -5 - 1, -b = -4*p - 5*v. Solve p = -4*j - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1746959.92 to the nearest ten thousand.\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 288, 250, 212?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**5\/20 - 7*g**4\/12 + 4*g**3\/3 + 8*g**2 - 2*g - 10. Let l(f) be the first derivative of d(f). Suppose l(x) = 0. Calculate x.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i + 7*i + 16*i - 9*i + 9*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002032 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 597*l**2 - 18576*l + 158436.\nAnswer: -3*(l - 163)*(l - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003739977639 to 6 decimal places.\nAnswer: -0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.475 - -2.53. What is the nearest to -1\/4 in 1\/3, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6380 is divided by 277.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v - 125 + 164 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**7\/840 + t**6\/120 + t**3 - 2. Let c(j) be the third derivative of d(j). Find the third derivative of c(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202167225.00000007 + -202167243. Let t = -25 + 43. Let d = x + t. What is d rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r. Let m(s) = -318*s**2 + 2303. Calculate n(m(d)).\nAnswer: 2544*d**2 - 18424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4525 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-8)*(42\/72)\/((-55)\/(-33))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 8*h**2 - 50*h**2)*(-h**3 + 4 - 4) + (-5*h**3 + h**4 + 4*h**4 - 4*h**4)*(3*h + 2*h - 4*h).\nAnswer: 58*h**5 - 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 164163\/(-218884)*11\/(-3)*-32?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175 + 3133 + 6687 = 508*f + 1835 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800 and 32368700?\nAnswer: 258949600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1425 (base 7) to base 12.\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (47 - 54 - 37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -277639*f**2 + 277608*f**2 - 6*f**4 + 3*f**4 + (4 + 3*f - 4)*(0*f**3 - f**3 + 3*f**3) - 3*f**4 + f**4 + 0*f**4.\nAnswer: f**4 - 31*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 620*r**2 - 603*r + 4629. Give j(-309).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -14108300 rounded to the nearest 10000?\nAnswer: -14110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 46*k**2 - k. Let h(d) = -d**2. Determine h(s(g)).\nAnswer: -2116*g**4 + 92*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/289340 and -95\/6.\nAnswer: 868020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 753983?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:29 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -9 + -7 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -565.9 - -566. Which is the nearest to 86? (a) -5 (b) -0.4 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 = -27. Suppose 3*a + k*a = 0. Solve 4*s = 4 - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-12)*(120\/(-140)*-14 - 7436\/627)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336\/11 equal to 395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005630512 to six decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003902392 rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 171 = 5*i, -2*i + 288 = 3*d - 5*i. Let m = d - 93. Solve 5*l + s - 2*s = -25, 4*l + 3*s + 1 = m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -9. Let a = u + 0. Put a, 3, -1 in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16363 + 8112. Let f = 412433\/50 + y. Calculate the common denominator of f and 117\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109607 + 2394486.171\nAnswer: 2284879.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -2.9. Let p = 2.9 + w. What is the closest to 1 in -0.3, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -5, 1, -10 in descending order.\nAnswer: 4, 1, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274 + 1266 + 17 + (0 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 2*h, 0*y = -y + 3*h - 5. Let l(g) = 2*g + 1. Let r be l(y). Let z be ((-9)\/6)\/(r\/280). What is z rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 4*u + 2. Let d be b(4). Let x = -19.249 - -18.849. What is the nearest to -0.1 in d, x, -1, 21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 6. Let p = 24 - 16. Let s be m(p). Determine v so that 3*v**2 + 0*v**2 - 2*v**2 - 4*v + v**s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094989 is divided by 584?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {k: 6, y: 4, m: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/1080 + t**5\/180 + t**3\/2 + 2*t. Let h(p) be the second derivative of q(p). Factor h(z).\nAnswer: -z*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:30 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - 61. Let f(t) = -t + s - 76. Let c(h) = 15*h. Let w(y) = c(y) - 6*f(y). Let z(k) = -k. Calculate w(z(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(5\/4)*f)\/f**(-32) assuming f is positive.\nAnswer: f**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) 2\/7 (c) -3 (d) -5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - -35. Suppose 2*z - g = 79. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**2 - 287303*x + 646452 = 0.\nAnswer: -71828, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 17, -1, 1 in increasing order.\nAnswer: -27, -1, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14760 and 49\/6990.\nAnswer: 3439080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-96))\/((-9)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2094 + -2094. Let y(r) be the third derivative of p + 8*r**2 + 1\/40*r**6 + 1\/4*r**4 + 0*r**5 + 0*r**3 + 0*r. Find the second derivative of y(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477367 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**6 + 0 + 1\/12*i**4 - 1\/168*i**8 - 3*i**2 + 0*i - 2\/105*i**7 + 1\/15*i**5 + 0*i**3. Let t(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-14) + 2288\/(-3080). Which is the third biggest value? (a) x (b) -232 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:08 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 1. Let p be a(1). Suppose 5*n + 20 = w - 8, 4*w - n - 17 = 0. Solve -p*d + w = f, -3*f - 5*d + d = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1822 and 123311138.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to -1.57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/7 (b) 19.11 (c) -2 (d) 1.9 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2. Suppose 8*l = 9*l + 5. Let z = l + 7. Let y(w) = 0*w**2 - 3*w**z + 6*w**2 + w**2. Give y(a(i)).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + v**3 + 3*v**3 + (-3 - v + 3)*(0*v**2 + v**2 + v**2) + v**3 - 2*v**3 - v**3 + (v + v + 0*v)*(3*v**2 - 3*v**2 + 2*v**2).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 7688*p - 3439488.\nAnswer: (p - 8112)*(p + 424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -0.567, -0.2, -3.\nAnswer: -86, -3, -0.567, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11. Let w = 2.4 + -2. Let p = w + d. What is the nearest to 1 in -3, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 12*p + 7. Let l be z(12). Suppose -8 = -3*j + l. Solve -j*r - 18 = -3*u, 0 = 3*u - 0*r + r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 (base 6) in base 7?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 33*k + 9 + 17*k - 65*k + 26*k + 6. Let f(n) = -19*n**2. Calculate a(f(b)).\nAnswer: -209*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267616747?\nAnswer: 267616747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*w + 1802330 = -94917670. Round w to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.03 - -0.63. What is the closest to 1\/5 in 3, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 23 - ((29 - 28) + 1 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -621129 divided by 32691?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 + 7*j - 7. Let r be h(6). Let d = 1 - 1. Let f = -1\/110 + -199\/2310. What is the closest to r in d, -1\/9, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34992352 and 5974304?\nAnswer: 244946464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2169*o**2 + 2739*o**2 + 1870*o**2.\nAnswer: 2440*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700490?\nAnswer: 2, 5, 7, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*r + 19*s - 20*s, -3*s + 22 = -r. Is 0.2 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 17*m - 90 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 151*g + 44. What are the prime factors of y(20)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016684 rounded to five decimal places?\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43368 rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -4.01. Let c = -257.4 - -329. Let j = -72 + c. What is the closest to 0 in j, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agaagaa. Give prob of picking 3 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/30*-1)\/(34\/(-1530)*-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (155\/(-93))\/((-2)\/(-138)). Let o(p) = -2*p**2 + 14*p + 6. Let j be o(12). Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccbcbcccbbcccbccc. Give prob of sequence bccc.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30958882135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -421210 (base 7) in base 5?\nAnswer: -4304403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*g - 111*g - 109*g + 325*g - 57 in the form z + w*g and give z.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 4*i - 174 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 40 = 11*y, 0 = -3*m - 2*y - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 32. Suppose -2*a + 5 = -4*i + 1, -3*i = -a + 6. Let l be 0 - 1 - 2\/a. Is t bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160430716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15296 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose 4*q - 13 = -a. Suppose -14 = -8*j + q*j - 4*v, 5*v = 5. Solve j*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 - m**4\/24 + m**3\/6 - m**2 + 403*m - 3. Let b(l) = 5*l**3 + 4*l + 5. What is b(c) + 4*h(c)?\nAnswer: c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1346102 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = -k, -20 = -4*n - 3*k + 7*k. Suppose 2*v + 12 = -n*x, -5*v + x - 26 = -8. Which is bigger: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/i*i**(-3\/2) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90684253 to the power of 1\/2, to the nearest integer?\nAnswer: 9523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffh when three letters picked without replacement from {b: 1, d: 3, f: 3, h: 3, q: 3, t: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 42 = -4*w. Let s be (-338)\/(-16)*2 + 75\/100. Suppose 13*h - s = -17. What is the smallest common multiple of h and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1276922 to 3 decimal places.\nAnswer: -1.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -1925*v + 1941*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5039.72546 to 0 decimal places.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547060*n**2 - 582536*n?\nAnswer: 1094120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 + 2*j + 1. Let g be 51\/(-68) + 2\/(-8). Let q be f(g). Let l = q - -1. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97a3 + 390?\nAnswer: a083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 4*r = -2*c + 16, 51 = -3*r + 3*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058663 is divided by 216.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2)\/(1 + 0). Suppose -w - 3*w = -3*k - 44, -4*w + 44 = p*k. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012168 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*w + 504 - 198, z - 153 = -2*w. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142486 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*a - 15, -98*g = 4*a - 101*g + 15. Which is smaller: a or 1\/545?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r + 1. Let o be j(1). Let l = 692 - o. What is the remainder when 2\/(-7) + l\/21 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-21) + (-4)\/(-14). Let d = 872 + -857. Let x be -2*d*(8\/3)\/(-8). What is the greatest common divisor of l and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32\/397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -134 + (2 + 6 - 23).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1c208c (base 13) to base 12\nAnswer: -2a799b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2*r**2 + 5)*(15 - 9 + 17) + 0*r**2 - 2*r**2 + r**2.\nAnswer: -47*r**2 + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 284*z - 1570*z + 5.\nAnswer: -1286*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-181775)\/(-77) + ((-240)\/42 - -6)?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 6*s + 1 + 5*s - 3*s. Let j(h) = 6*h + 1. Let b(m) = 6*j(m) - 5*l(m). What is b(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063903979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22609, 2, 2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z - 8. Let t = 33 + -34. Let j be c(t). Let i(m) = 6*m + 3. Let o(d) = -d - 1. Determine j*o(n) - i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -15917, 47, 0.3, -0.5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11777 and -5088690213?\nAnswer: 5088678436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 l, and 1 w when four letters picked without replacement from {w: 2, l: 11, t: 2}.\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -16416*i - 16404. What is g(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 24 + 19 + 21 + 393*v.\nAnswer: 393*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5198336 and -107\/640.\nAnswer: 25991680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/9, 3, -0.04?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1)\/(4\/18). Let l(c) = -9 - 14*c**3 + 8*c - 17*c**3 + 10*c**2 + 32*c**3. Let o be l(j). Is -1\/7 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s**3 + 14 - 3*s**3 - 16. Let m be g(-2). What is the highest common factor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:13 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 280267?\nAnswer: 1961869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-24))\/((-165)\/(-66)*(1 + -5)\/220)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6954689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -1)*9\/(-126)*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6458561 and 1?\nAnswer: -6458561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 501428 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - v - 61, j + v = -v + 22. Calculate the lowest common multiple of 2 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 432 - 434. What is the third smallest value in -8, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350224 divided by -212\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**3 + 25*x**2 + 100*x - 5. What are the prime factors of a(-15)?\nAnswer: 2, 5, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/92 + 123\/1564. Let f = 5\/68 + h. What is the second smallest value in 0.1, -0.5, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11638)\/(-17595)*45 - 8\/(-34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b - 201613 + 27937 = 0. Which is smaller: b or -2117?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 769.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4291 and 4291.\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -499, -551, -603, -655, -707?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4730946 and 115\/93041938.\nAnswer: 279125814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:07 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, g: 1, s: 5, n: 8}. What is prob of sequence snnf?\nAnswer: 175\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -8 - 2. Sort 0, a, -1 in descending order.\nAnswer: a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037 divided by 17980?\nAnswer: 2037\/17980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -335732?\nAnswer: 6714.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x - 5*d + 82, 3*x = -2*d + 285. Calculate the remainder when 462 is divided by x.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**2 - 2308*k - 2. Let c(q) = 2*q. What is c(g(m))?\nAnswer: -16*m**2 - 4616*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36.28 and -0.5?\nAnswer: 35.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 - 5*p + 3. Let u(k) = k**3 - 4*k**2 - 4*k + 2. Determine -5*u(b) + 4*w(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1827*c.\nAnswer: c*(c - 1827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3638800 and 400?\nAnswer: 3638800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 1\/2 (c) 1\/20 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, y: 1, k: 1, w: 1, c: 1}. What is prob of picking 1 w and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 1. Let a = -5 - k. Let p(o) = -o + a*o + 0*o. Let z(r) = 2*r. Determine z(p(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33997 or 33998?\nAnswer: 33997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/((-2)\/26809))\/(108\/(-1728)). Is 41 a factor of r\/(-374) - 6\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (12 + 3 - 2). Put o, 0.1, -5 in descending order.\nAnswer: 0.1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111652, 223347, 335042, 446737, 558432?\nAnswer: 670127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 25*f**2 - 33*f - 29. Let x be l(20). Suppose -28*d + x + 12273 = 0. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/9513 - -250465\/104643. Find the common denominator of 127\/42 and x.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1816746 and -2.\nAnswer: 3633492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose 4*l - 204 = 3*v, 4*v + 171 = 5*l - 83. Let p = 109 - l. Calculate the greatest common divisor of p and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2916234.3 months?\nAnswer: 2430.19525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041998724 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/y**1)\/(y\/(y*y*y\/(y*y\/y**2))*(y*y**(-5\/4)*y*y)\/y) assuming y is positive.\nAnswer: y**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350311520 + -2?\nAnswer: -350311522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (94 + -1)\/3 + -3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32106826 to the nearest integer?\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 54 = -5*j + 5*r, -3*r = 5*j + 49. Let k = 6 + j. Let m be (-6)\/(2\/8*6). Which is the third biggest value? (a) m (b) k (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 4:52 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**4 + 1\/30*w**5 - 1\/3*w**3 - 11\/120*w**6 - 16*w**2 + 0 + 0*w. List the prime factors of a(-2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7446 + -7427.005. Let j = -22 - -41. Let k = j - o. Round k to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 5543?\nAnswer: -5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(((690\/360)\/(-23))\/((-1)\/4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j*(j\/j**(4\/7))\/j*j)*j*j**(-3\/2)*j*(j\/(j*j**(-7\/2)))\/j**(-1\/15))**45 assuming j is positive.\nAnswer: j**(516\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 1 + 11. Let q(j) = -j**2 - 8*j - 5. Let i(n) = -3*n + 10 + 20*n + 11*n**2 - 9*n**2. Let x(g) = -3*i(g) - 7*q(g). Determine x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 0*q**3 - q**4 + (-4 - q - 5 + 0)*(q**3 + 5*q**3 - 4*q**3) as h*q + v + w*q**2 + u*q**3 + k*q**4 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 642194.2 micrometers?\nAnswer: 0.6421942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 1)*(0 - 3 + 1) + 0 - 1 - 11)*(0*x**3 + 2*x**3 - x**3) + x**3 - 3*x**3 + 3*x**3 to w*x**3 + a + m*x + n*x**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 2*q**2 + 4*q**2 + (1 + 4*q - 1)*(-4*q + 0*q + 5*q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**2\/7 - 8085132*p\/7 + 12127716\/7 = 0. Calculate p.\nAnswer: -1010643, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - v - 4*v + (-270 + 13*v + 270)*(-4 - 3 + 5).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 - 249 = 11*k. Let y(b) = -2*b - 8. Let o be y(k). Let 0 - 36\/7*v**o - 12\/7*v**3 - 20\/7*v + 4\/7*v**4 = 0. Calculate v.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w, 0 = s - 0*s + 5*w - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 2994671.979.\nAnswer: 2994671.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 62.9 (c) 2\/3 (d) -3\/8 (e) 0 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 - 19 = 0. Let u = g - -6. Suppose -u*n - 15 = -7*n. Solve -n - 1 = 2*p, 2*m - 4*p = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -8 (c) 152 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -2013.\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 6*p + 15*p**4)*(33*p + 18*p - 10*p + 2*p - 3*p + 0*p + (-p - 1 + 1)*(1 + 1 + 0) - 1 + 1 - p).\nAnswer: 555*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -972859*h**2 - 10*h + 122494338 with respect to h.\nAnswer: -1945718*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33100 plus -0.3?\nAnswer: 33099.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 857313 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-925))\/((-744)\/26970).\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11034099 and -0.11.\nAnswer: 1213750.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8*v - 80 = -3*v, v = -4*u + 54. Calculate the remainder when 125 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95888 and 1664?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 26*w**2 - w - 4. Let i(j) = 3*j**3 + 20*j**2 + j + 3. Let p(x) = -3*d(x) - 4*i(x). Determine p(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 5140?\nAnswer: 35980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2736 = u, -5*u + 583 = -3*k - 1446. Let h = 791 + k. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2998, -5915, -8834, -11755, -14678?\n\"Answer: -c**2 - 2914*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -8\/15 (c) 0 (d) 0.2 (e) 2\/15 (f) -2\/13 (g) -26\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4827493.\nAnswer: 11, 23, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1160*d - 197*d + 5774 = 348*d - 4456 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:16 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -3 - 29)*-1 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 195*c**3 - 2*c**2 + 475 wrt c?\nAnswer: 585*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -7, -2\/17, -32193.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 990557 and -14.\nAnswer: -13867798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 10*m**2 + 8*m + 18. Let s be b(9). Let f(r) = -2 - 7*r + 18*r**2 - 10*r**2 - s*r**2 + 0. Let l = -15 - -9. Give f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(-3*sqrt(3900) + sqrt(3900)))\/((sqrt(33)*3)\/sqrt(11) - 5*sqrt(18)\/sqrt(6)).\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 - 29*w - 4. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 7*q - 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 215145.655 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1359\/302*(-2)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0162*-5.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rry when three letters picked without replacement from {r: 5, y: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 18*a**2 + 2*a - 36. Let c be g(18). What is the nearest to c in 5, -0.03, -0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 46. What is a(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 5\/2, 5, -2\/7, -3, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:17 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 17 - 2*q - 14*q + q**2 + 2*q**2. Let w be u(-13). Solve -w + 2 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120, -104, -54, 48, 220?\n\"Answer: 3*x**3 - x**2 - 2*x - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/6 - 3*b**3 + 8*b**2 - b + 16. Let c(t) be the first derivative of j(t). Factor c(i).\nAnswer: 2*(i - 8)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 107849.\nAnswer: -3127621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*z = -0*c + 51, 5*c - 229 = -3*z. Let g = c + -33. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r. Let h(d) = -36027106*d**2 + 29346*d + 14673. Let k(u) = -4911*u**2 + 4*u + 2. Let l(i) = -2*h(i) + 14673*k(i). What is l(c(m))?\nAnswer: -44019*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90159.86 centuries in years?\nAnswer: 9015986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 2064785.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2025*g**3 - 4006104255*g**2 - 356098144*g - 7913292.\nAnswer: -(g + 1978323)*(45*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p**2 + 9*p + 45*p**3 - 44*p**3 - 16 - 8*p + 18*p. What is the tens digit of n(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12951662 - 91199?\nAnswer: 12860463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/20 + i**4\/24 - 2*i**3\/3 + 3*i**2. Let z be h(4). Suppose -7*q + z = -3*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - 5*s = -29*z - 55, 4*z + s + 13 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 + 349*r**2 - 38*r - 917. Calculate u(58).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 234 = 3*z, 12*z - 3 = 9*z. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -104.89, 11, -1108?\nAnswer: -1108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -339*g**3 - 2*g - 1. Let h be l(-1). What is the second derivative of 6*d + 340 - h + 5*d**2 wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let l = -4 - -7. Let k be (-2)\/4*(-1 - l). Let v(z) = 3*z + z**k - 3*z**2 - 3*z. Give v(i(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.15 - -0.15. What is the third smallest value in m, 2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375)*-2 - sqrt(55)*1*-2)\/((-2*(sqrt(66) + sqrt(66)*3))\/sqrt(6)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -15. Is -0.1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313221\/5 not equal to 62644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -16. Let m be b\/1 - (3 + -1). What is the third derivative of -2*x**2 - x**m + 2*x**2 - 2*x**2 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.4. Suppose -2*q = -4*p - 8, -11 = -3*q - 3*p + 10. Let o = 3 - q. Which is the third biggest value? (a) 0.4 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1083, 2.\nAnswer: -1083, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/21*(-9)\/(-21). Let q = -1195\/784 + k. Let o = 16435 - 197357\/12. Find the common denominator of o and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(5\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306 divided by 653?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25205836913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1823*v**3 - 29*v**2 + 127131?\nAnswer: 5469*v**2 - 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0.98. Let t = -1.3 - -2.2. Let w = t - 1.3. Is j < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 702.7524 millennia?\nAnswer: 8433028.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3217*n + 639856. What is f(-213)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 177*z**3 + 1086*z**2 - 2188*z + 1464.\nAnswer: -(z - 2)**3*(z + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**1))\/(b*b\/b**(-5\/4)*b*b))**(47\/5) assuming b is positive.\nAnswer: b**(-799\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 58.6. Let h = m - -25. Let u be (-7)\/6*3\/(-21). Which is the fourth biggest value? (a) u (b) -1\/7 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 2 + -5 + sqrt(700)*-3*-6 - (-1 + sqrt(700)*-3 + (sqrt(700) + -1)*4))**2.\nAnswer: 720*sqrt(7) + 226804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 6 + -4)*(27489417 + -3). Let p = v - -17509414. What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-274)\/(-6) + 1\/3. Suppose 4*r + 28 = 0, 128*n + 5*r + 35 = 134*n. Solve -k*o + 45*o - 3 = n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116115 = -3*s - 3*t, -s - 123*t + 38753 = -116*t. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 4566*w**3\/5 + 513372*w**2\/5 + 358616*w + 126960 = 0 for w.\nAnswer: -3, -2\/5, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.118 and 95234?\nAnswer: 392173.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**5 + 3 - 3 - 2*t**2 - 2*t**5 + 2*t**2 + (-3 + 3 - 1)*(-2*t**5 + t**5 + 0*t**5).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7836464.\nAnswer: 2, 647, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*z = l + 8, 4*l + 3*z = 32. Let s(i) = i**3 + 16*i**2 - 35*i + 20. Let t be s(-18). Solve t*c - c = -2*d - l, -2*d - 16 = 3*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/9 - 13*j**2\/9 + 13*j\/3 - 3 = 0. What is j?\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * -12\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 - 37535*s + 2575500 = 0. Calculate s.\nAnswer: -7575, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2010.8 + -2450. Let p = d - -405. Let z = -32 - p. Round z to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:14 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 15. Let n be i(-6). Solve h = 0, 2*d + h + 8 = n*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97, 72, 73, 112, 201?\n\"Answer: 2*z**3 + z**2 - 42*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 23, -5, 6.\nAnswer: -5, 1, 3, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -55, -0.1 in ascending order.\nAnswer: -55, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 6, y: 4}. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535443061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5930110*t**3 + 95150919*t wrt t.\nAnswer: 35580660*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-9)\/u))\/(u*(u\/(u**9\/u))\/u)*u\/(u**(-21)\/u)*u\/(u\/(((((u*u*u**(-21))\/u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3431*v - 33 = 3426*v + 4*s + 22, -5*v - 5*s = -10 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1458 and -0.2.\nAnswer: -291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**8\/252 - 32*l**7\/105 + 49*l**6\/90 + 29*l**2 + 1. Factor i(y).\nAnswer: -4*y**3*(y - 1)*(y + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 13*h**2 - 14*h + 14. What is the units digit of s(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 8\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/75))\/d**(19\/4)*d*d\/(d\/(d\/((d\/(((d*d**(6\/7))\/d)\/d))\/d)))*(((d*d\/(d*d**10*d)*d*d)\/d)\/d)\/d assuming d is positive.\nAnswer: d**(-27131\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-24)\/90. Let r = 87.2 - 86.7. Sort -1, q, -0.3, r in increasing order.\nAnswer: -1, -0.3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 116*w**2 + 155916*w + 16128 = 0. Calculate w.\nAnswer: -1344, -3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g = -8*x + 50, -5*x - 5*g + 80 = 0. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(sqrt(700) + -2*sqrt(700))**2 - sqrt(700)) + (3 + sqrt(567) + 1 - (sqrt(567)*-1)**2*3).\nAnswer: -sqrt(7) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4271d (base 14) in base 2?\nAnswer: -100111001100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28134314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388 divided by -694?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-48 + 8)\/8))\/((-2)\/10). Put -3, -5793, y in ascending order.\nAnswer: -5793, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -486.3 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27349442? (a) 1 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 26. Suppose -k + 3 = 0, 3 = 2*r + 3*k - x. Calculate the greatest common factor of 22 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 9) to base 4\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 + 71133*q**4 + 569106*q**3 + 1565078*q**2 + 1707375*q + 640269 = 0. What is q?\nAnswer: -3, -1, 71141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6304 + -6032. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 5044*c - 50641. What is m(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-14))\/(((-4859)\/(-226))\/((-1)\/2))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 5*t + 694 - 630 = -5*t, -2*l = 5*t + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s + 16. Let q = 4 + s. Let x = -2896 + 2900. Solve -21 = -4*v + d, q*d - 5*d = x*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016069369 rounded to 7 decimal places?\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -393 + 397. Solve z*b + 3*n = 2*b + 16, 3*b - 2*n + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose 0*a - h*a = -2*o + 44, 4*o = a + 88. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 6, 4 in ascending order.\nAnswer: -18, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 - 8849504*j\/13 - 17699016\/13.\nAnswer: 2*(j - 4424754)*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1627*h**3 - 1869*h**3 - 20 + 20.\nAnswer: -3496*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 8379?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m**3\/4 - 6323*m**2\/4 - 55925*m\/2 + 1304 = 0. What is m?\nAnswer: -16, 2\/43, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 8. Let b(j) = 14*j - 25. Determine 3*b(o) - 8*r(o).\nAnswer: 2*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j)**(1\/44)*j\/(j\/(j\/((j*j**(-5\/3)*j)\/j)))*j\/((j*j**(-1\/6)\/j)\/j) assuming j is positive.\nAnswer: j**(491\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -z - 2*h, 0 = 4*h - 8. Suppose 4*q - 157 = -5*a, 0 = z*a - q + 2*q - 130. Suppose c - a = -8. Solve -o + c = -6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/6)\/(y*y**(6\/7)*y)*((y\/(y\/y**(2\/17)))\/y)\/y*y**2 assuming y is positive.\nAnswer: y**(-2075\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*v**2 + 12*v - 3 + 236*v**2 - 119*v**2 + 9*v + 4*v**3.\nAnswer: 4*v**3 + 21*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 2, s: 1, e: 2, j: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1090 from -0.30831.\nAnswer: -1090.30831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -540.51 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 24*m**2 + 24*m - 14. Let u be (-6)\/(-12) + (-39)\/(-2). What is the smallest common multiple of u\/6 + 1\/(-3) and j(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -224 + 218 - 18\/(-2). Which is the nearest to -20.3? (a) -3 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -286*s + 284*s + 290. What is the highest common factor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -11. Let c(x) = -75601*x - 7. Let l be c(i). Let t be (-4)\/14 + l\/(-7). Round t to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q - 42. Find the common denominator of (2\/(-6) - 0)*5292\/4032 and (-3)\/q*2\/(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, 0, 6, 3, -5 in ascending order.\nAnswer: -40, -5, -4, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -470 + 477. Let i(z) = z**3 - 6*z**2 - 8*z + 6. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 5*w - 7. Determine q(-7).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/3 - 2*x**2 - 45*x. Let q(m) = -m. What is q(d(y))?\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 5073.\nAnswer: 5073.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3\/5, 1\/7, 4\/9, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693834829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 19*o**2 - 18*o + 9. Let k be r(-18). Solve 0 = -2*w - 5*b + k, 4*w - 14 = b - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 18. Let m = w + -5. What is the smallest common multiple of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/(4\/10). Sort -2, 0, j.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -642, -643, -644, -645, -646, -647?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.68709 rounded to 2 decimal places?\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.7 - 23.666. Let u = -0.034002 + r. What is u rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1452))\/sqrt(6) + 4 - (5 + ((sqrt(22)*-1*-1)\/sqrt(11))**2).\nAnswer: -3 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**3 + 556*m**2 + 6104*m - 4320.\nAnswer: 4*(m + 20)*(m + 27)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -2\/7 in decreasing order.\nAnswer: 11, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740 = -3*t + z, -5*z = -3*t + 6*t - 728. Let l be 1 - ((-6)\/3 + 1). Is (l - (-12)\/(-8))*t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 234.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 1402, 2170, 2950, 3736, 4522, 5302, 6070?\nAnswer: 6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 11:15 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m - 27. Let u be j(7). Let v(k) = -2*k**3 + k + 10. Does 14 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -820, -2341, -4582, -7543, -11224, -15625, -20746?\n\"Answer: -360*g**2 - 441*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21347624.9 rounded to the nearest ten thousand?\nAnswer: -21350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7250, -14536, -21856, -29216, -36622, -44080, -51596, -59176?\n\"Answer: -d**3 - 11*d**2 - 7246*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 63 = -20*n. Put 5, n, 6, -2 in descending order.\nAnswer: n, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -17514*x**2. Let h(f) = -f**2. Determine h(g(p)).\nAnswer: -306740196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 93.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(125) + 3 + sqrt(125))*-3 - (3 + -3 + sqrt(125))**2*5) + -4.\nAnswer: -633 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.085 + -85.915. Let m = w + 85.866. Round m to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*c - 594*c - 5618 = 644*c - 2051*c for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4617) + -2*sqrt(4617) + sqrt(4617) + sqrt(4617) - sqrt(4617)) + sqrt(4617))\/sqrt(3).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 7 in ascending order.\nAnswer: -7, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + 2*v = -46*h - 25, 3*h - 24*v - 135 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3\/19 (c) -2\/9 (d) -73 (e) 2.2 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 3*m**2 + 144. Suppose 4*v = 3*v. Let p be s(v). Let n(u) = 144 + 4*u - p. Let w(i) = 5*i. Give w(n(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 + 11 = 0. Let u = 4666.1 - 4666. Which is the closest to j? (a) u (b) -2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8*b - 5 = 3*a, 29 = -2*b - 5*a. Let i = 153 - 152.87. What is the third biggest value in b, 0.1, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147281400 to the nearest one million.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251190*m**2 + 644218*m**2 + 1191620*m**2.\nAnswer: 3087028*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 159 + 35 = -4*n, 0 = -5*n - 2*b + 155. Suppose 3 - 43 = -10*p. Suppose 10*l = 5*l - 2*k + 156, p*l + k - 126 = 0. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(5 + -2) + 710. Let g = 1030 - r. What is the units digit of g\/18 - 10\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:11 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u + 15*u - 8*u as h + x*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132\/10*(-22)\/((-528)\/360). Let q be (-1 - -3)*18\/2. What is the highest common factor of y and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719698 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 1\/15*r**5 - 5*r**2 - 1\/6*r**3 + 0 + 1\/24*r**4 + 0*r. Let b be u(-1). Solve 3*s = 3*m + 27, b*s = 5*s - m - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37998050.\nAnswer: 2, 5, 759961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3 - 75*h**2\/2 + 72*h - 93. Find j such that k(j) = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 9*q**2 - 7*q + 77*q**3 - 106*q**3. Let w(k) = -7*k**3 - 2*k**2 - 2*k. Calculate -9*w(m) + 2*x(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 3. Let z = -68 - -83. Let w = z + -16. Is t at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.117, 5\/6, -0.2, 0.05 in descending order.\nAnswer: 5\/6, 0.05, -0.2, -1.117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*n - 29 = -3, 3*n = 6. Suppose a*c = 3*c + 12. Suppose 0 = 3*w - c - 15. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c - 6 + 6)*(2 - 5 + 4)*(3 + 0 - 1)*(0 + 0 - 1).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(204)\/sqrt(4) - ((1*sqrt(204))\/sqrt(4) + sqrt(51)))\/(((-2*sqrt(150))\/sqrt(10))\/sqrt(5)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17.7118, 5, -3?\nAnswer: -17.7118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-7)*(-35)\/(-10) - -89?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 1300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*n - 8. Let z be (-2)\/n - (-52)\/(-56). Let d = -1.1 + 1. What is the nearest to 0.4 in d, z, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29003, -0.4, -0.3 in decreasing order.\nAnswer: 29003, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983600 to the power of 1\/2, to the nearest integer?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -549 - -440.5. Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1747 at least -1747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.53779 rounded to 1 decimal place?\nAnswer: 281.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*h - 101, -z + 0*h + 5*h = 11. Suppose -2*o = -3*o + 1164. What are the prime factors of o\/28 + 12\/z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*d**2 - 2053*d**2 + 1200*d**2 - 3005*d**2.\nAnswer: -3933*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 + -6 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 3. Let c be b(-5). Let r(q) = -2*q**3 + 11*q - 2 - 2*q**3 + 5*q**3 - 4*q + 8*q**c. Calculate r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(49)\/(1*sqrt(7)))**2 + 0 - (sqrt(343) - (-4*(sqrt(343) + 1) - sqrt(343)) - (0 + -1 + sqrt(343)))**2.\nAnswer: -8592 - 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1849, 3688, 5411, 6946, 8221, 9164?\nAnswer: 9703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -308, -798, -1288, -1778, -2268?\n\"Answer: -490*g + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 8.4.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 22002021101000?\nAnswer: -22002021101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/49 or 86.6939?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -10 - (-6 - -12). Suppose -b = 5*w, 0*r - 4*w = -3*r + 1405. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 180, 363, 546, 729?\n\"Answer: 183*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 40 = f, -4*f = l + 22 + 21. Let c = l + 49. Let q be (c - 5)\/5 + 1. Solve -3*x = -4*b + 9, -2*x - q*b + 4 = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81\/4 of a millennium?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644875?\nAnswer: 3, 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 21)\/(-192) - (2 + 1004\/48).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3000 and 32700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393288 by 14046.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:46 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -309 - 133. Suppose -54*h + w*h - 80 = 0. Sort -1, h, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2475 = 5*l, 0 = 7*k - 2*k - 25. Calculate the common denominator of ((-9475)\/l)\/5 - 5 and 38\/7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*x**3\/8 + 15*x**2\/2 - 3*x\/2.\nAnswer: -3*x*(5*x - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - l + 23 = 5*u, -16 = -3*u - 2*l. Suppose 5*n = 15, -2*n = -0*x - 4*x + 6. Solve -u = -b - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 27*l + 3. Let u(t) = -t - 1. Let n(k) = -b(k) - 5*u(k). Let i be n(-7). What is the highest common divisor of 72 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9136\/50853 - -10\/4623. What is the nearest to -0.1 in f, 0.4, -66, 0.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2 - 63*f + 992 = 0.\nAnswer: 31, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.3 take away -105.6?\nAnswer: -56.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(-2*s - 2*s + 3*s) + (-10*s + 10*s + 13*s)*(6*s + 0*s + 3*s - 3 + 3 + 3*s + (-5 + 3 + 3)*(1 - 1 - 2*s)).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1300 + 808. Let c = -167 - u. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 1. Let g = q + 4.999959. Round g to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 3. Let x(i) = i**2 - 6*i - 6. Let o be x(6). Let g be z(o). Solve 0*l = -3*l + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 40 = -l. Find the third derivative of 2*y**2 + 7*y**6 - l*y**2 + 2*y**6 wrt y.\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 196. What is the remainder when s is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-6)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14313 is divided by 365.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2*y + 19. Let s be x(-13). What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 20*o**2 - 6*o**2 + 2 - 6 - 7. Let i be f(14). What is the units digit of 13\/2*(-110)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) - (-3 - 3\/(-3)). Suppose d*f = -2*p - 32, 4*f + 19 = 4*p + p. What is the units digit of 250\/4*(-1 - (3 + f))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n + 6. Let w = 31 + -29. List the prime factors of l(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -60. Let l(g) be the third derivative of 5*g**4\/24 + g**3\/3 + 4*g**2. Let d be l(6). Calculate the greatest common factor of d and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4\/7, 61, -1\/4, -0.27, -500?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:05 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110032320101 (base 4) in base 2?\nAnswer: 10100001110111000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*g**3 + 123*g**3 - 323*g**3 - 103*g.\nAnswer: g**3 - 103*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (35 + 14720\/(-420))*6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9, 2, -2\/7, 1\/2388?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14 + 42*d**2 - 79*d - 77*d + 157*d. Is q(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(1\/9). Suppose 4*l = l + h. Let f be 0 + l\/(-1) + 1901. Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -999134 - -7.3.\nAnswer: -999126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let g = 35 - 5. Let c = g - 31. Let j(x) = x - 4. Determine c*j(n) - 6*l(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 11084?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - 3*a. Let u(g) = -11 + 13 - 2 - g**3. Calculate -6*u(o) + y(o).\nAnswer: 2*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and -75\/25216.\nAnswer: 75648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)\/(n\/(n**(3\/4)\/n)))\/(n\/(n**1*n))**47 assuming n is positive.\nAnswer: n**(2371\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 39506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4892.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11. Let l be 5\/(-45)*-38 + -4. Suppose 2*v = 0, 3*b + b - v + 12 = 0. What is the biggest value in o, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163.2 + -36.74. Let m = -200 - k. Which is the third smallest value? (a) -0.3 (b) m (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwnw. What is prob of picking 2 n and 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75039 is divided by 25010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a + 18 + 79 = 22. Let p be ((-258)\/(-1854))\/((-26)\/18). Let y = -2\/103 - p. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnn when four letters picked without replacement from nnvvnnnnvnnnnnnnvnv.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 15*r**2 - 11*r. Let b be y(14). Let f = b + -2. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odod when four letters picked without replacement from xxxoxxdxxoxd?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i - 39. List the prime factors of (-4)\/i + 18726\/54.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(684)*-2)**2*5 - ((sqrt(2736) + 1)*3 - sqrt(2736) - (sqrt(2736) + -2 + -4)**2).\nAnswer: -48*sqrt(19) + 16454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461570433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 29*u**2 + 13*u + 102. Calculate t(28).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 25.995. Let u = y + -0.205. Let l = -5 - -5.4. Put -4, l, u in descending order.\nAnswer: l, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4\/7))\/(r*r**(-5)*r*r)*r**(-1\/2)*r*r\/(r**(1\/3)*r)*r*r assuming r is positive.\nAnswer: r**(241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(26)\/((-2*sqrt(2) - sqrt(2))*2) + -2 + sqrt(52)*-1)**2)*-4.\nAnswer: -2593\/9 - 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6 + ((-5848)\/(-72))\/(-17) + 5.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**2 + 2012*h + 6029. Give a(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8638, -22278, -40850, -64348, -92766, -126098?\nAnswer: -164338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2395079\/40 - 59874. Find the common denominator of z and -89\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 0 + 4)*(-2 - 1 + 5) + 4 - 3 + 0 - 2 + 3 - 2 + 3 + 0 - 1)*(-3*o + 0*o + 2*o)*(-o + 0*o - 4*o) to the form h*o + x*o**2 + i and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.0468 milligrams in nanograms?\nAnswer: 60046800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 20 = 0. What is the lowest common multiple of 10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8769*o - 26 = -5*n - 8770*o, 4*o = 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**3\/2 + 13*u**2\/2 + 14*u. Calculate the remainder when 54 is divided by l(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 1.3, -3\/4, -4\/19, 56, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265838.82 months in decades?\nAnswer: 2215.3235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(5 + -9) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -32, -70, -114, -158, -196, -222?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 5 + 4)*(-2 - 3 + 4)*(223*n - 12 - 119*n - 112*n) to the form g*n + y and give y.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 14*n + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.1134, 2\/3, -176\/147?\nAnswer: -0.1134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose 8*u - 3*u - 740000 = t. Let y be (-4 - 2)*u\/(-12). Round y to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p - 3210*p**2 - 6*p - 2*p + 3207*p**2 - 6 - 4769*p**4 + 22*p wrt p?\nAnswer: -114456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*d - 1190640 = -27*d - 15*d. Is 66 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let v be (-3)\/((-6)\/32) + o. What is the greatest common divisor of v and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**26\/(o*(o*o**23)\/o) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 - h + h)*(147*h + 5*h**2 + 147*h - 246*h) to the form r*h**3 + v*h**4 + f + p*h + k*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:04 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19449, 19331, 19271, 19299, 19445, 19739?\n\"Answer: 5*v**3 - v**2 - 150*v + 19595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 51. Let b = g - 23. Suppose 3*d = -d + u + 41, u = b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -752*w**2 + 5*w**3 - 2*w - 19*w**3 + 0*w**4 + 752*w**2 + 2*w**4 to a*w**3 + u*w + v*w**2 + q + t*w**4 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + 43 + -93 + (12 - -3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.61938 micrometers to meters.\nAnswer: 0.00005061938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, -3, -3670, 8, -5 in increasing order.\nAnswer: -3670, -28, -5, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18 + -3*(-19)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10464 + 5945. Let f = 4518.996323 + y. Round f to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 315919348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 654691841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 5, t: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/108 - -4\/27. Suppose 0 = 4*l - 3*n + 11, -3*l + 2*n = -0*l + 8. Which is the nearest to 0.1? (a) l (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10\/12)*(7520\/280 + -27)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 12546989?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7825 >= 7792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4518 by 4518.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 482\/49 - 55633\/5292. What is the common denominator of 53\/990 and s?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*a = -3, -3*c - 16 = -5*a - 3. Let k(i) = 16*i**2 + 12*i - 12. Let d(o) = -o**2 - o + 1. Determine c*k(n) - 12*d(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 51*f - 316 - 24 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.6. Let w = -29 + 11. Let p = w - -21. What is the third biggest value in p, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6778.99 - 6779. What is the second smallest value in 7, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337054 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*a + 158*a - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-21)*183\/(-122).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 47048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(180)*6 + sqrt(180))*5)\/(sqrt(44)\/(2*sqrt(11)) + (1*sqrt(64) - sqrt(64))).\nAnswer: -690*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2*x + 2. Let t(o) = -6*o**2 - 224*o + 14175. Let z(g) = -14*f(g) + 2*t(g). Factor z(h).\nAnswer: 2*(h - 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382545 is divided by 28803.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6348?\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 4*b**2 + b - 1. What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66069, -23, 2 in descending order.\nAnswer: 2, -23, -66069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 23 + -8 + 2 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48342 times 1281.8?\nAnswer: 61964775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4119\/5 - -824. What is the third biggest value in -0.1, -19, 10, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65354 (base 8) to base 7.\nAnswer: 142542","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 8.5076 times 2.7\nAnswer: 22.97052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1*(-15 + 16). Suppose -w*i - 6255215 = -4*i. Suppose 8044785 + i = -q. What is q rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -35*c + 123. Let h(y) = -123*y + 432. Let q(d) = -5*h(d) + 18*w(d). Is q(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495358?\nAnswer: 2, 3, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9)*3 - -3. Suppose 3*s - q = 7. Suppose -24 = -s*p + 5*m, 0 = 2*p - 3*m + m - 12. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*w - 2, 3236 = 2*d - 2*w. What are the prime factors of d?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42766?\nAnswer: 2, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*k**4 + 0*k**3 - 13*k + k**2 - 2*k**3 + k**2 + 9*k + 8*k in the form a*k + b + r*k**2 + p*k**3 + s*k**4 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -61*w**6\/720 - w**5\/24 + w**4\/8 + w**3 + w**2 - 15. Let m(p) be the second derivative of z(p). Differentiate m(k) wrt k.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 0*b**3 + 0*b**3 + b + 2*b**3 as u + l*b + c*b**3 + h*b**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {o: 3, n: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18098243320.08 - 0.4.\nAnswer: 18098243319.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 5, u: 1, j: 5, m: 8}. Give prob of picking 3 b.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 28 - 3 = 0, 0 = -g - 5*v - 19. Suppose 0 = -4*u + 7*u - g. Suppose u*z - 19 = 19. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383227.\nAnswer: 13, 41, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 33. Let f be g(4). Let m(p) = p**3 + 26*p**2 + 23*p - 26. Let o be m(f). Suppose 0 = -3*v + 2*n - 16, -n + o = -5*v + n. Sort v, -5, 5, -0.5.\nAnswer: -5, v, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let m be -6*(2 + 21\/(-9)). What is the third derivative of 2*w**6 + w**2 - m*w**s - 3*w**6 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 892*a*y**3 + 29*a*y**2 + 2*a*y - 2*a + 6*y**3 + y**2 - 299737*y + 3 wrt y.\nAnswer: 5352*a*y + 58*a + 36*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3270793359 to the nearest integer?\nAnswer: 57191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 5. Let z be 2 + -1 - -2 - x. Find the third derivative of -c**2 - 2*c + 2*c**4 + z*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (20 + (-2 - (6 + (-5 + -2 - -11)))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-684)\/(-8))\/19)\/((-36)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378322281 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 + -47?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -19*f**2 + 3*f - 4. Let g(o) = 39*o**2 - 5*o + 7. Give 4*g(v) + 7*i(v).\nAnswer: 23*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*s - 30 = 0, 5*n + 3*s - 61 = -28 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*s - 107*s = 168. Suppose 23 = r + k, -3*r + 7*r - k = 117. What is the lowest common multiple of r and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102121 (base 3) in base 15?\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2521267\/4 <= -630316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203331 - 2?\nAnswer: -203333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-5700) + (-100021)\/(-2175)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341.2288 + -341. Let i = 28 - 27.78. Let z = t - i. What is z rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzooooz. What is prob of sequence ooo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 10*o**2 + 352*o - 1053. Determine i(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30431131 (base 5) to base 15.\nAnswer: 4db46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-5)\/20)\/((-4)\/(-100)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 42, -4 in increasing order.\nAnswer: -7, -4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(684)*-1)*5)**2 - -5*((sqrt(684) + (sqrt(684) - (sqrt(684) + -1)*1))*4)**2.\nAnswer: 11760*sqrt(19) + 671300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94968581?\nAnswer: 131, 151, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -24, -3, 5 in ascending order.\nAnswer: -24, -10, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9800 and 105.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2 + 166*d - 28. Determine h(-18).\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)\/o)\/o)**(8\/7))**(-31) assuming o is positive.\nAnswer: o**(744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/8)\/(1794\/19136).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 7:27 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73, -12, 389, 1376, 3195, 6092, 10313?\n\"Answer: 41*h**3 - 76*h**2 + 2*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187504556.4ns to weeks.\nAnswer: 0.000000310027375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 40. Put j, -5, 4 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 - 982\/5. Let u = 26 + -24. Find the common denominator of (191 - 14)*u\/42 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38787, 78551, 118315, 158079?\nAnswer: 197843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/6 + (-4)\/(-6). Suppose 0*h = -2*d - 3*h + 55, -2*d + b = -5*h. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = 47*j - 7*j - 1087674. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.2. Let a = -4.5 - -4.542. Let x = a + -5.042. What is the third smallest value in i, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 40 = -3*v, v - 2*c - 20 = 3*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-1 - (11 - (-14 + 42))) + -12\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxuxuuuxux. What is prob of picking 4 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -5001072.\nAnswer: 1000214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 142*6.5328\nAnswer: 927.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 4903200?\nAnswer: 83354400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*r + 18. Calculate the highest common divisor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68))\/sqrt(4) - (1*sqrt(68) + sqrt(17) + sqrt(17)) - (sqrt(85) + (sqrt(85) - sqrt(85)*-1)*1)\/sqrt(5).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/17)\/v**5)\/((((v*v**(-2\/13))\/v)\/v)\/((v\/((v\/v**1)\/v*v))\/v)) assuming v is positive.\nAnswer: v**(-876\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -462*3315\nAnswer: -1531530","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -269, -363?\n\"Answer: -94*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 110. Suppose -5*w - 15 = 2*h, -2*w - 8 = -4*h + i. Solve 0 = -0*p - h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6 = 4*p - 7, -5*p = w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2511 = 3*i, -c + 894*i = 896*i - 844. What is the highest common factor of 1826 and c?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -20) + (4 - 2) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.2, 25, -1\/13 in increasing order.\nAnswer: -1\/13, 0.2, 1\/3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163698163 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -25\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (27412\/2178 - 12) + 8\/(-22)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/84*(-7)\/(-2). Let g(w) be the first derivative of n*w**2 - 1 - 3*w. Differentiate g(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 1. Let c(k) be the first derivative of 4*k**2 + 11. Let z(m) = -c(m) - 2*t(m). Let p be z(-4). What is the highest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 0. What is the derivative of -2*j**2 - 8 + l*j**2 - 6*j**2 wrt j?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.425 and 0.5.\nAnswer: -0.2125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.89 and 4.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255 - 122. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3112 is divided by 576.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-464)\/40)*(-2)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11261.91969 + -11262. What is i rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3978 - -3980. Which is the second smallest value? (a) 5 (b) 0.9 (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*w - w**2 - 78*w - 70*w.\nAnswer: -w**2 - 250*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 19 - (-265 - -263)) + 20?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 35 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from ehehhlx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17318587 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -32909*p + 394744. Determine n(12).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657170 (base 8) in base 10?\nAnswer: 1269368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784 - 769 + 1553 - 12*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*n**6 - 853*n**4 + 7*n**2 - 93*n - 30.\nAnswer: -17640*n**3 - 20472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -40*x - 119. Let i be k(-4). Suppose -i*v + 7720 = -46*v. Round v to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*d - 19 = 0, -8 = -4*l + 5*d - 2*d. Let m = l - -2. List the prime factors of -38*(-2)\/4 - m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964 - 2958 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 8775.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 47*p - 34*p + 7*p as n*p + r and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193.05 less than 5167?\nAnswer: 3973.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let q(s) = 1 + 2*s - 3*s**p - 4 + s**3 + 0*s. Is q(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:10 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 54 = -3*i, 2*i = 5*s - s + 56. Let r be (-10)\/s*3\/(-10). Let v = -895\/8 + 112. What is the second smallest value in r, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -19. Calculate the remainder when 7\/77 + 258\/55*10 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*j - 25, 6*j - 5*j + 5*i - 29 = 0. What is the fourth smallest value in -3\/10, 3, -4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 - 540. Let i = 11 - k. 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: Suppose 88 = -0*s + 4*s. Suppose f = 13 + s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 21*v + 13. Sort v, -39, 4 in decreasing order.\nAnswer: 4, v, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 12*p + 10. Let s = -26 - -14. Let z be h(s). Solve 4*n = 6*i - 4*i - z, -2*n = 5*i + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -3*r. Let k be (r - 2)\/(-4 - -6). Let h(q) = q**2 - q + 5. What is the units digit of h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 116496.3 nanometers?\nAnswer: 0.1164963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 26*p + 60. Let g be x(28). Suppose 5*z - 3*f + 0*f - 945 = 0, -2*z + g*f = -378. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604958530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let q be r(1). Let s be (q*3)\/(-2 + 1). Let j(g) = -g + 2*g**3 + 0 - 2*g**2 - g**s + 0. Calculate j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from aocvddk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -1890.48?\nAnswer: -17014.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 7. Let c = 182 + -174. Give a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-30))\/(2\/(-8)). Suppose 0*l + j = -w*l + 46, 4*l - 94 = -j. Calculate the smallest common multiple of 20 and (42\/4)\/(18\/l).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1108*t - 2550. Let f(q) = -q - 16. Let x(c) = -6*f(c) + m(c). What is the first derivative of x(g) wrt g?\nAnswer: -1102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Find the second derivative of -27*r**2 + 3*r**o + 27*r**2 + r wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 3:51 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3752*z + 3748*z + 28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8196 and 1213008?\nAnswer: 1213008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99167 and 635?\nAnswer: 62971045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, -56\/3?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32621750?\nAnswer: 2, 5, 7, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 1424160.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(2) - sqrt(18))))**2 + (2*sqrt(6))\/sqrt(3) + (1*sqrt(20))\/sqrt(10).\nAnswer: -141*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1705 + 1268*j**3 - 6*j - 4503*j**3 + 6*j + 41 with respect to j.\nAnswer: -9705*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-438)\/4)\/((-11)\/(-22)). Suppose 4*b + 24 = -0*b. What is the units digit of b\/10 - g\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 1. Let o = 232927\/9 - 25881. Which is the third biggest value? (a) k (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189062851, -189062856, -189062861?\nAnswer: -189062866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430477373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12076 is divided by 337.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/(-39)*(-6)\/4. Let v(f) = -f + 4. Let p(b) = -2*b + 7. Give w*v(a) - 3*p(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 478*l + l**3 - 477*l - 3 - 5*l**2 + 2*l**2. Let z(c) = 5*c**2 + 2*c + 1. Let y be z(-1). What is the tens digit of h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, e: 2, s: 1, l: 2}. What is prob of picking 2 l, 1 a, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 213 in -0.2, 4\/75, 1, 2\/5, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8585855 * -4\nAnswer: -3.434342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -397*q**3 + 70*q**2 + 7*q + 3. Let x be j(-2). Calculate the greatest common factor of 2385 and x.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = 10. Is r at least as big as -1\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 6*k**3 - 17*k**3 + 2735*k**2 + 1856*k**2 - 1339*k**2.\nAnswer: -20*k**3 + 3252*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/9 + 8*s**3\/27 - 2*s**2\/9 - 8*s\/9 - 36. Find h, given that b(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -106*j**3 + j**2 - 62*j - 62. What is n(-1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, f: 8, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 2. Let q(p) = -p**2 + 7*p - 10. Let v(d) = d**2 - 7*d + 11. Let w(o) = -4*q(o) - 3*v(o). Let i be w(5). Let g be -6*i\/6*1. Calculate x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1155300334?\nAnswer: -1155300330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24258574?\nAnswer: 2, 12129287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 8*j - 7. Let f be n(-5). Let d be (-74860)\/304 + 2 + (-14)\/8. Let l = -230 - d. What is the highest common divisor of f and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25840)\/(-10880) + 430\/(-720)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9*15\/(-675)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12179 - -12182. Which is the closest to -1\/4? (a) 4 (b) x (c) 0.502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 - 2*k - 14. Let a(h) = 23542*h**2 - 23535*h**2 - 8 - 5*h - 20. Give 2*a(z) - 5*q(z).\nAnswer: -z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 14 - 35*m - 11.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 5. Let k = 24 + -25. Which is the third smallest value? (a) o (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a. Let y(k) = k. Let z(n) = 4*h(n) + 2*y(n). Find the second derivative of z(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -147379?\nAnswer: 147379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:49 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 1.5. Let d = 1.71 + -1.8. Let u = 0.01 - d. Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 2*s**2 + 3*s**2 + (-3*s + 3*s + s)*(-3*s - 2*s + 3*s) - 11*s**2 + 9*s**2 - 3*s + 4*s.\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.1570696017 and 3.\nAnswer: 14.1570696017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.59941 + -9.6. What is a rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/28*7\/(-1). Suppose 4*x = t*i - 0 + 20, 3*i + 4 = -4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34878, 69772, 104690, 139644, 174646?\n\"Answer: 2*f**3 + 34880*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t = 766 - 362 + 856 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 350859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 21*w - 140. Is 65 a factor of i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 13.2. Let p = 21 + -21. What is the closest to 0.1 in p, q, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnxoldolcnclcnnllo. Give prob of picking 2 n and 1 l.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33818, -34641, -35464, -36287?\n\"Answer: -823*m - 32995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3750 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618239 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 2*j - 2*j + (6*j - 4*j - 4*j)*(-4 + j + 4) - 4*j**2 - 7*j**2 + 2*j**2 + (j**2 - 4*j**2 + 0*j**2)*(-4 + 6 + 30).\nAnswer: -105*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-16))\/((-15)\/20). Which is the closest to 0.3? (a) -4 (b) r (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.3. Let k be (4\/(-6))\/(26\/(-6)). Let n be 4\/(-18) + 35\/(-126). Which is the closest to 0? (a) n (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*v - 3*v + 12, -3*v + 12 = 3*t. Let j be 5\/(1 - 0) - t. Suppose j*s**4 + 3*s - 7*s**2 - 3*s**3 + 2 + s**3 - s**3 = 0. What is s?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z - 1. Let i(r) = -2*r**3 + 6*r**2 + 36*r + 6. Let d(a) = -i(a) - 6*l(a). Let b(k) = 3*k**3. Determine -5*b(n) + 7*d(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3)\/(1\/(-6)*-8). Let h(u) be the first derivative of i*u**2 - 5 + 0*u. Let q(p) = -2*p**2. What is q(h(f))?\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/9*z**2 + 4\/3 - 46\/9*z = 0. What is z?\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 3*p - 3. Let u be f(-2). Suppose -h - u = 4*h. Let v(x) = -2*x - 308 + 153 + 155. Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -15*c - 109 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) + (-4)\/(-10). Let b(u) = -9*u + 47. Let n be b(5). Solve n*q = z - 1, -5*q + 3*z = -x*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1039.35 - 245.35. Is s smaller than 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 144. Let z be q(-28). Solve -4 = 4*x - 4*w, z*x + 2*w + 8 = 5*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11278739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**23)\/(i*i\/(i\/i**(-9))))**18)**(2\/145) assuming i is positive.\nAnswer: i**(1152\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 = -x, -2*l + 2*x + 9 = -1. Solve 6*v - 5*v + d + 5 = 0, -8 = -4*v + l*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = -7657 + 8892 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*k**3*s**3 + 2*k**3*s + 1419*k**3 - 33*k**2*s**5 wrt s.\nAnswer: -138*k**3*s - 660*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 - 163483.\nAnswer: -163482.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*l + l**2 + 172*l - 6*l**2 + 11*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -1\/70*c**7 + 0*c**6 + 0*c**5 + 1\/12*c**4 + 0*c + 0*c**3 + 0 + 2*c**2. What is the second derivative of b(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(5 + (-5616)\/1124). Let w = h - -284. Solve -2*o - 3*v - 8 = 0, -w*o - 3*v + v = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053)*-1 - sqrt(1053)) + sqrt(130)\/(3*sqrt(810)))**2.\nAnswer: 12307477\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25064059 and 417952.\nAnswer: 802049888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 7*m - 7*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (18 + -26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3334036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69634, -0.3, -65 in decreasing order.\nAnswer: 69634, -0.3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 97930?\nAnswer: -685510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 101.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 - 547. Put -1, 0, l, -15 in decreasing order.\nAnswer: l, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/38 (b) 0.1 (c) 264.755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*-4*14\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 24. Solve 4*u = t*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41856689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29267 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2961 + 696 = -30*u, -x + 0*x + 2761 + 2118 = -40*u for u.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -106. Suppose 5*d - 3 = 3*s - 1179, a*s + 4*d - 1149 = 0. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 520 or 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-160)*8*2 + 249\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l**3 + 428*l**2 - 115*l - 185. Calculate h(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 = y + 3, -3 = -2*a - 5*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69323431?\nAnswer: 3701, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*p - 5*d + 288, -5*p + d + 664 = 0. Calculate the smallest common multiple of 18 and (-1183)\/p + 9 - (-1592)\/38.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 4*s + 4. Let r be g(-4). Let w(k) = -k**3 + 7*k**2 + 5*k + 1. Let u be w(7). What is the highest common divisor of r and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 320. Solve 15 = -5*y - 4*a, -y = o*y - 3*a - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*v, -v - 14 = 3*f + 4*v. Suppose -14*x = -12*x - f. Suppose -l - 33 = -4*l. Calculate the greatest common divisor of l and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162 and 0.37.\nAnswer: -59.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3240632.99696 + 3240865. Let b = p + -232. Round b to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151615 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16267 - -20792. What is the highest common divisor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 9979?\nAnswer: -9980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 37775.\nAnswer: 23\/7555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 67.4. What is the closest to -1 in -3\/8, -0.01, w?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -400514323 + -1?\nAnswer: -400514324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -164 (b) -1163 (c) -1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3264*d - 3689*d - 5575*d)*(d - d - 2*d**2) - 4*d**3 + 3*d**3 + 4*d**3.\nAnswer: 25059*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-31)\/310)\/((-2)\/10))\/((-11)\/(-528)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/165 + 13043\/2310. Calculate the common denominator of m and -9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -1)\/((-3)\/108). Let i = x - -334. Let p be i\/8 + (-2)\/(-8). Solve y - 6*y + p = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 = -26*n + 2772. Solve -20 = -61*u + n*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(880) + sqrt(55))*-6)\/(-6*(sqrt(180) + 1*sqrt(180))).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.37. Suppose v = -2*b + 2, 0 = -4*b - 3*v - 3 + 5. Let l = -1963\/68 + 115\/4. What is the second biggest value in q, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1668)\/288 + 88\/(-66).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 246704, 493402, 740102, 986804, 1233508?\n\"Answer: f**2 + 246695*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-4)\/g))\/g*g)\/(g\/g**(-12)*g)*g**(2\/9)*g**(4\/5)*g)**(-4\/13) assuming g is positive.\nAnswer: g**(1076\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 259171300 to the nearest 100000.\nAnswer: 259200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {r: 4, z: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5773086 divided by 19438.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164.0143 - 164. What is r rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 t when four letters picked without replacement from ggttttg.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 84.41 - 1373025\nAnswer: -1372940.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198963 (base 10) in base 6?\nAnswer: 4133043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(6\/(-4)) + 486\/162. Solve 3*p + 24 = -5*q, -4*p - j + 2 = -3*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 - 174. Let q be 1\/((9\/b)\/(-15)). Solve 5 = -q*r - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 3*h**2 + 3*h - 2. Let f(o) = 6*o**3 - 16*o**2 + 16*o - 11. Determine -2*f(x) + 11*l(x).\nAnswer: -x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 644*f**4 + 730 wrt f.\nAnswer: 2576*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 10}. Give prob of picking 2 c.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28660)\/250)\/(312\/(-20)) - 9. Is s > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -39. Let m = y + -46.9905. What is m rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at least -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.72 + -0.28. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*g - 3*g + 72, 3*g - 72 = 3*u. Let n = g - 7. What is the remainder when n is divided by -1*(-4*1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 74995?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - q**2 + 12*q - 7. What is the remainder when t(6) is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 10:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 317 - 241 = -7 + 57 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1384? (a) 13\/2 (b) -1\/6 (c) 3\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95ad (base 15) to base 3.\nAnswer: -1121102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 945 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*c = 30, 7*c + 7*c = -8*o - 2*c - 120 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 1, y: 1}. Give prob of sequence dy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59561, -238254, -536081, -953048, -1489161, -2144426, -2918849, -3812436?\n\"Answer: -i**3 - 59561*i**2 - 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 5 = -6*b. What are the prime factors of ((-16)\/(-10))\/(5\/(22 + b))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}